Subjects -> PHYSICS (Total: 857 journals)
    - ELECTRICITY AND MAGNETISM (10 journals)
    - MECHANICS (22 journals)
    - NUCLEAR PHYSICS (53 journals)
    - OPTICS (92 journals)
    - PHYSICS (625 journals)
    - SOUND (25 journals)
    - THERMODYNAMICS (30 journals)

PHYSICS (625 journals)            First | 1 2 3 4 | Last

Showing 201 - 400 of 741 Journals sorted alphabetically
International Journal of Astronomy and Astrophysics     Open Access   (Followers: 36)
International Journal of Biological, Physical and Chemical Studies     Open Access  
International Journal of Computational Materials Science and Surface Engineering     Hybrid Journal   (Followers: 7)
International Journal of Damage Mechanics     Hybrid Journal   (Followers: 5)
International Journal of Engineering and Applied Physics     Open Access  
International Journal of Fatigue     Hybrid Journal   (Followers: 41)
International Journal of Fracture     Hybrid Journal   (Followers: 14)
International Journal of Geometric Methods in Modern Physics     Hybrid Journal   (Followers: 2)
International Journal of Geophysics     Open Access   (Followers: 5)
International Journal of Heat and Fluid Flow     Hybrid Journal   (Followers: 41)
International Journal of Low Radiation     Hybrid Journal  
International Journal of Low-Carbon Technologies     Open Access   (Followers: 1)
International Journal of Mass Spectrometry     Hybrid Journal   (Followers: 17)
International Journal of Material Forming     Hybrid Journal   (Followers: 1)
International Journal of Materials and Product Technology     Hybrid Journal   (Followers: 2)
International Journal of Mechanical Sciences     Hybrid Journal   (Followers: 14)
International Journal of Mechanics and Materials in Design     Hybrid Journal   (Followers: 7)
International Journal of Medical Physics, Clinical Engineering and Radiation Oncology     Open Access   (Followers: 11)
International Journal of Microstructure and Materials Properties     Hybrid Journal   (Followers: 7)
International Journal of Microwave Science and Technology     Open Access   (Followers: 12)
International Journal of Modeling, Simulation, and Scientific Computing     Hybrid Journal   (Followers: 3)
International Journal of Modern Physics A     Hybrid Journal   (Followers: 15)
International Journal of Modern Physics B     Hybrid Journal   (Followers: 12)
International Journal of Modern Physics C     Hybrid Journal   (Followers: 14)
International Journal of Modern Physics D     Hybrid Journal   (Followers: 13)
International Journal of Modern Physics E     Hybrid Journal   (Followers: 13)
International Journal of Multiphysics     Open Access  
International Journal of Nanomanufacturing     Hybrid Journal  
International Journal of Nanoscience     Hybrid Journal  
International Journal of Nanotechnology     Hybrid Journal   (Followers: 9)
International Journal of Non-Linear Mechanics     Hybrid Journal   (Followers: 8)
International Journal of Nonlinear Dynamics and Control     Hybrid Journal   (Followers: 6)
International Journal of Physics     Open Access   (Followers: 10)
International Journal of PIXE     Hybrid Journal  
International Journal of Plasticity     Hybrid Journal   (Followers: 7)
International Journal of Quantum Information     Hybrid Journal   (Followers: 6)
International Journal of Self-Propagating High-Temperature Synthesis     Hybrid Journal  
International Journal of Solids and Structures     Hybrid Journal   (Followers: 14)
International Journal of Surface Science and Engineering     Hybrid Journal   (Followers: 6)
International Journal of Theoretical and Applied Multiscale Mechanics     Hybrid Journal   (Followers: 3)
International Journal of Theoretical and Mathematical Physics     Open Access   (Followers: 13)
International Journal of Theoretical Physics     Hybrid Journal   (Followers: 17)
International Journal of Thermal Sciences     Hybrid Journal   (Followers: 18)
International Journal on Smart Sensing and Intelligent Systems     Open Access  
International Letters of Chemistry, Physics and Astronomy     Open Access   (Followers: 8)
International Materials Reviews     Hybrid Journal   (Followers: 15)
Iranian Journal of Medical Physics     Open Access  
Iranian Journal of Science and Technology, Transactions A : Science     Hybrid Journal  
Ironmaking & Steelmaking     Hybrid Journal   (Followers: 4)
Izvestiya, Atmospheric and Oceanic Physics     Full-text available via subscription   (Followers: 1)
Izvestiya, Physics of the Solid Earth     Hybrid Journal   (Followers: 2)
Jambura Physics Journal     Open Access  
JETP Letters     Hybrid Journal   (Followers: 3)
Journal of Adhesion Science and Technology     Hybrid Journal   (Followers: 10)
Journal of Advanced Physics     Full-text available via subscription   (Followers: 13)
Journal of Advances in Physics     Open Access   (Followers: 13)
Journal of Applied Mathematics and Physics     Open Access   (Followers: 9)
Journal of Applied Mechanics and Technical Physics     Hybrid Journal   (Followers: 7)
Journal of Applied Physics     Hybrid Journal   (Followers: 69)
Journal of Applied Spectroscopy     Hybrid Journal   (Followers: 9)
Journal of Astrophysics     Open Access   (Followers: 33)
Journal of Astrophysics and Astronomy     Open Access   (Followers: 58)
Journal of Building Physics     Hybrid Journal   (Followers: 1)
Journal of Chromatographic Science     Hybrid Journal   (Followers: 15)
Journal of Complex Networks     Hybrid Journal   (Followers: 1)
Journal of Composite Materials     Hybrid Journal   (Followers: 244)
Journal of Computational and Theoretical Transport     Hybrid Journal   (Followers: 2)
Journal of Computational Methods in Physics     Open Access   (Followers: 8)
Journal of Computational Physics     Hybrid Journal   (Followers: 59)
Journal of Computational Physics : X     Open Access   (Followers: 1)
Journal of Contemporary Physics (Armenian Academy of Sciences)     Hybrid Journal   (Followers: 9)
Journal of Dynamic Systems, Measurement, and Control     Full-text available via subscription   (Followers: 14)
Journal of Elasticity     Hybrid Journal   (Followers: 7)
Journal of Electron Spectroscopy and Related Phenomena     Hybrid Journal   (Followers: 3)
Journal of Electronic Materials     Hybrid Journal   (Followers: 3)
Journal of Electronics Cooling and Thermal Control     Open Access   (Followers: 9)
Journal of Engineering Materials and Technology     Full-text available via subscription   (Followers: 17)
Journal of Engineering Physics and Thermophysics     Hybrid Journal   (Followers: 2)
Journal of Experimental and Theoretical Physics     Hybrid Journal   (Followers: 4)
Journal of Experimental Physics     Open Access   (Followers: 3)
Journal of Fire Sciences     Hybrid Journal   (Followers: 6)
Journal of Geometry and Physics     Full-text available via subscription   (Followers: 2)
Journal of Geophysical Research : Space Physics     Full-text available via subscription   (Followers: 136)
Journal of Gravity     Open Access   (Followers: 4)
Journal of High Energy Astrophysics     Full-text available via subscription   (Followers: 25)
Journal of High Energy Physics     Hybrid Journal   (Followers: 17)
Journal of High Energy Physics, Gravitation and Cosmology     Open Access   (Followers: 2)
Journal of Hydrogels     Full-text available via subscription  
Journal of Hyperspectral Remote Sensing     Open Access   (Followers: 23)
Journal of Imaging     Open Access   (Followers: 3)
Journal of Information Display     Open Access   (Followers: 1)
Journal of Intelligent Material Systems and Structures     Hybrid Journal   (Followers: 8)
Journal of Lightwave Technology     Hybrid Journal   (Followers: 14)
Journal of Low Frequency Noise, Vibration and Active Control     Open Access   (Followers: 8)
Journal of Luminescence     Hybrid Journal   (Followers: 2)
Journal of Materials Engineering and Performance     Hybrid Journal   (Followers: 22)
Journal of Materials Physics and Chemistry     Open Access   (Followers: 7)
Journal of Materials Science     Hybrid Journal   (Followers: 25)
Journal of Materials Science : Materials in Electronics     Hybrid Journal   (Followers: 2)
Journal of Materials Science : Materials in Medicine     Hybrid Journal   (Followers: 1)
Journal of Mathematical Fluid Mechanics     Hybrid Journal   (Followers: 10)
Journal of Mathematical Physics     Hybrid Journal   (Followers: 25)
Journal of Medical Imaging and Health Informatics     Full-text available via subscription  
Journal of Medical Ultrasonics     Hybrid Journal   (Followers: 2)
Journal of Micro/Nanolithography MEMS and MOEMS     Hybrid Journal   (Followers: 24)
Journal of Molecular Spectroscopy     Hybrid Journal   (Followers: 6)
Journal of Motor Behavior     Hybrid Journal   (Followers: 8)
Journal of Multiscale Modeling     Hybrid Journal   (Followers: 1)
Journal of Nepal Physical Society     Open Access  
Journal of Nondestructive Evaluation     Hybrid Journal   (Followers: 11)
Journal of Nonlinear Dynamics     Open Access   (Followers: 6)
Journal of Nonlinear Mathematical Physics     Hybrid Journal   (Followers: 2)
Journal of Nuclear Physics, Material Sciences, Radiation and Applications     Open Access   (Followers: 6)
Journal of Optics     Hybrid Journal   (Followers: 17)
Journal of Photonics for Energy     Hybrid Journal   (Followers: 2)
Journal of Physical and Chemical Reference Data     Hybrid Journal   (Followers: 4)
Journal of Physical Chemistry B     Hybrid Journal   (Followers: 48)
Journal of Physical Chemistry C     Hybrid Journal   (Followers: 36)
Journal of Physical Oceanography     Hybrid Journal   (Followers: 18, SJR: 2.461, CiteScore: 3)
Journal of Physical Organic Chemistry     Hybrid Journal   (Followers: 8)
Journal of Physics and Chemistry of Solids     Hybrid Journal   (Followers: 3)
Journal of Plasma Physics     Hybrid Journal   (Followers: 21)
Journal of Polymer Science Part B: Polymer Physics     Hybrid Journal   (Followers: 22)
Journal of Porous Materials     Hybrid Journal   (Followers: 4)
Journal of Porphyrins and Phthalocyanines     Hybrid Journal   (Followers: 1)
Journal of Quantitative Spectroscopy and Radiative Transfer     Hybrid Journal   (Followers: 3)
Journal of Reinforced Plastics and Composites     Hybrid Journal   (Followers: 30)
Journal of Rheology     Full-text available via subscription   (Followers: 7)
Journal of Sandwich Structures and Materials     Hybrid Journal   (Followers: 4)
Journal of Scientific Research     Open Access  
Journal of Sensors     Open Access   (Followers: 25)
Journal of Sol-Gel Science and Technology     Hybrid Journal  
Journal of Solid State Physics     Open Access   (Followers: 8)
Journal of Spectroscopy     Open Access   (Followers: 6)
Journal of Superconductivity and Novel Magnetism     Partially Free   (Followers: 1)
Journal of Synchrotron Radiation     Open Access   (Followers: 3)
Journal of the American Society for Mass Spectrometry     Hybrid Journal   (Followers: 32)
Journal of the ICRU     Hybrid Journal  
Journal of the Korean Physical Society     Partially Free  
Journal of the Physical Society of Japan     Hybrid Journal   (Followers: 2)
Journal of Theoretical and Applied Physics     Open Access   (Followers: 9)
Journal of Tissue Engineering     Open Access   (Followers: 6)
Journal of Ultrasound in Medicine     Full-text available via subscription   (Followers: 11)
Journal of Vibration and Control     Hybrid Journal   (Followers: 42)
Journal of Visualization     Hybrid Journal   (Followers: 3)
Journal of Zhejiang University : Sceince A     Hybrid Journal  
JPSE (Journal of Physical Science and Engineering)     Open Access  
Jurnal Fisika     Open Access  
Jurnal Ilmiah Pendidikan Fisika Al-Biruni     Open Access  
Jurnal NEUTRINO     Open Access  
Jurnal Online of Physics     Open Access  
Jurnal Pendidikan Fisika Indonesia (Indonesian Journal of Physics Education)     Open Access  
Jurnal Penelitian Fisika dan Aplikasinya     Open Access  
Jurnal Penelitian Sains (JPS)     Open Access  
Karbala International Journal of Modern Science     Open Access  
Kasuari : Physics Education Journal     Open Access  
La Rivista del Nuovo Cimento     Hybrid Journal  
Lasers in Surgery and Medicine     Hybrid Journal   (Followers: 1)
Latvian Journal of Physics and Technical Sciences     Open Access  
Letters in High Energy Physics     Open Access  
Letters in Mathematical Physics     Hybrid Journal   (Followers: 4)
Light : Science & Applications     Open Access   (Followers: 3)
Living Reviews in Computational Astrophysics     Open Access   (Followers: 3)
Living Reviews in Relativity     Open Access  
Living Reviews in Solar Physics     Open Access   (Followers: 1)
Lubrication Science     Hybrid Journal   (Followers: 2)
Macalester Journal of Physics and Astronomy     Open Access   (Followers: 5)
Machining Science and Technology: An International Journal     Hybrid Journal   (Followers: 2)
Magnetic Resonance     Open Access  
Magnetic Resonance Letters     Open Access  
Magnetic Resonance Materials in Physics, Biology and Medicine     Hybrid Journal   (Followers: 3)
MAPAN     Hybrid Journal  
Mass Spectrometry Reviews     Hybrid Journal   (Followers: 31)
Matéria (Rio de Janeiro)     Open Access  
Materials and Design     Open Access   (Followers: 47)
Materials at High Temperatures     Full-text available via subscription   (Followers: 3)
Materials Chemistry and Physics     Full-text available via subscription   (Followers: 15)
Materials Research Bulletin     Hybrid Journal   (Followers: 25)
Materials Research Innovations     Hybrid Journal   (Followers: 1)
Materials Science     Hybrid Journal   (Followers: 7)
Materials Science and Engineering: A     Hybrid Journal   (Followers: 44)
Materials Science and Engineering: B     Hybrid Journal   (Followers: 22)
Materials Science and Engineering: R: Reports     Hybrid Journal   (Followers: 15)
Materials Science and Technology     Hybrid Journal   (Followers: 40)
Materials Today Physics     Hybrid Journal   (Followers: 1)
Matériaux & Techniques     Full-text available via subscription   (Followers: 2)
Mathematical Physics, Analysis and Geometry     Hybrid Journal   (Followers: 3)
Mathematics and Mechanics of Solids     Hybrid Journal   (Followers: 3)
Matter and Radiation at Extremes     Open Access   (Followers: 1)
Meccanica     Hybrid Journal   (Followers: 1)
Mechanics of Advanced Materials and Structures     Hybrid Journal   (Followers: 6)
Mechanics of Materials     Hybrid Journal   (Followers: 25)
Mechanics of Time-Dependent Materials     Hybrid Journal   (Followers: 2)
Mechanics Research Communications     Hybrid Journal   (Followers: 4)
Medical Physics     Hybrid Journal   (Followers: 17)
Micro and Nano Systems Letters     Open Access   (Followers: 6)
Microfluidics and Nanofluidics     Hybrid Journal   (Followers: 11)
Microporous and Mesoporous Materials     Hybrid Journal   (Followers: 9)
Modern Instrumentation     Open Access   (Followers: 57)
Modern Physics Letters A     Hybrid Journal   (Followers: 14)

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Similar Journals
Journal Cover
Journal of Mathematical Fluid Mechanics
Journal Prestige (SJR): 1.613
Citation Impact (citeScore): 1
Number of Followers: 10  
 
  Hybrid Journal Hybrid journal (It can contain Open Access articles)
ISSN (Print) 1422-6952 - ISSN (Online) 1422-6928
Published by Springer-Verlag Homepage  [2469 journals]
  • Nonlinear Stability of Solutions on the Outer Pressure Problem of
           Compressible Navier-Stokes System with Temperature-Dependent Heat
           Conductivity

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      Abstract: Abstract In this paper, the one-dimensional compressible Navier-Stokes system with outer pressure boundary conditions is investigated. Under some suitable assumptions, we prove that the specific volume and the temperature are bounded from below and above independently of time, and then give the local and global existence of strong solutions. Furthermore, we also obtain the convergence of the global strong solution to a stationary state and the nonlinear stability of its convergence. It is worth noticing that all the assumptions imposed on the initial data are the same as Takeyuki Nagasawa [Japan.J.Appl.Math.(1988)]. Therefore, our work can be regarded as an improvement of the results of Nagasawa.
      PubDate: 2022-05-17
       
  • Large-Time Behavior of Solutions in the Critical Spaces for the
           Non-isentropic Compressible Navier–Stokes Equations with Capillarity

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      Abstract: Abstract In this paper, we investigate the large-time behavior for the non-isentropic compressible Navier–Stokes equations with capillarity in the whole space \({\mathbb {R}}^{d}\) ( \(d\ge 3\) ). Under an additional smallness assumption of the low frequencies of initial data, the time-decay estimates of \(L^{q}\) – \(L^{r}\) type for global strong solutions near constant equilibrium (away from vacuum) can be deduced by establishing the time-weighted energy inequality. On the other hand, a pure energy approach (without the spectral analysis) different from the time-weighted energy method is performed, which allows us not only to get the time-decay rates but also to remove the smallness condition of low frequencies of initial data. The treatment of new nonlinear terms arising from capillary mainly depends on non classical Besov product estimates and the refined use of Sobolev embeddings and interpolations.
      PubDate: 2022-05-12
       
  • Global Well-Posedness and Boundary Layer Effects of Radially Symmetric
           Solutions for the Singular Keller–Segel Model

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      Abstract: Abstract This paper is concerned with the global well-posedness and diffusion limit (as \(\varepsilon \rightarrow 0\) ) of radial solutions to a chemotaxis system with logarithmic singular sensitivity in a bounded interval with mixed Dirichlet and Robin boundary conditions. We use a Cole–Hopf type transformation to resolve the logarithmic singularity and prove the global well-posedness of the transformed system with \(\varepsilon \) equaling to 0 or being suitably small. Moreover, the transformed system is justified to possess boundary layer effects as \(\varepsilon \rightarrow 0\) , where the boundary layer thickness is of \(\mathcal {O}(\varepsilon ^{\alpha })\) with \(0<\alpha <\frac{1}{2}\) . By transferring the results back to the original chemotaxis model via Cole–Hopf transformation, we find that boundary layer profile is present at the gradient of solutions and the solution itself is uniformly convergent with respect to \(\varepsilon >0\) .
      PubDate: 2022-05-06
       
  • The Existence and Uniqueness of Global Admissible Conservative Weak
           Solution for the Periodic Single-Cycle Pulse Equation

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      Abstract: Abstract This paper is devoted to studying the existence and uniqueness of global admissible conservative weak solution for the periodic single-cycle pulse equation without any additional assumptions. Firstly, introducing a new set of variables, we transform the single-cycle pulse equation into an equivalent semilinear system. Using the standard ordinary differential equation theory, the global solution of the semilinear system is studied. Secondly, returning to the original coordinates, we get a global admissible conservative weak solution for the periodic single-cycle pulse equation. Finally, choosing some vital test functions which are different from [Bressan (Discrete Contin. Dyn. Syst 35:25-42, 2015), Brunelli (Phys. Lett. A 353:475-478, 2006)], we find a equation to single out a unique characteristic curve through each initial point. Moreover, the uniqueness of global admissible conservative weak solution is obtained.
      PubDate: 2022-05-04
       
  • Existence of Dissipative (and Weak) Solutions for Models of General
           Compressible Viscous Fluids with Linear Pressure

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      Abstract: Abstract In this work we will focus on the existence of dissipative solutions for a system describing a general compressible viscous fluid in the case of the pressure being a linear function of the density and the viscous stress tensor being a non-linear function of the symmetric velocity gradient. Moreover, we will study under which conditions it would be possible to get the existence of weak solutions.
      PubDate: 2022-04-27
       
  • Fully Localised Three-Dimensional Gravity-Capillary Solitary Waves on
           Water of Infinite Depth

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      Abstract: Abstract Fully localised three-dimensional solitary waves are steady water waves which are evanescent in every horizontal direction. Existence theories for fully localised three-dimensional solitary waves on water of finite depth have recently been published, and in this paper we establish their existence on deep water. The governing equations are reduced to a perturbation of the two-dimensional nonlinear Schrödinger equation, which admits a family of localised solutions. Two of these solutions are symmetric in both horizontal directions and an application of a suitable variant of the implicit-function theorem shows that they persist under perturbations.
      PubDate: 2022-04-22
       
  • Global Regularity for the Incompressible Oldroyd-B Model with Only Stress
           Tensor Dissipation in Critical $${{\varvec{L}}}^{{{\varvec{p}}}}$$ L p
           Framework

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      Abstract: Abstract This work is concerned with the global solutions to the d-dimensional incompressible Oldroyd-B model with only dissipation in the equation of stress tensor (without stress tensor damping or velocity dissipation). The main ingredients of the proof lies in commutator estimate at low frequency and energy estimate in Lagrangian coordinates at high frequency. Particularly, our result extends the works of Wu–Zhao [24] (J. Differ. Equ. 316, 2021) and Constantin–Wu–Zhao–Zhu [9] (J. Evol. Equ. 21, 2021).
      PubDate: 2022-04-22
       
  • A Regularity Criterion for the 3D MHD Equations in a Local BMO Space

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      Abstract: Abstract We investigate the local interior regularity condition of a suitable weak solution to 3D MHD equations. We prove that if the gradient of a velocity vector belong to a local BMO space \(\mathrm{bmo}_r\) in a neighborhood of an interior point, then solution is regular near that point.
      PubDate: 2022-04-21
       
  • On the Stokes-Type Resolvent Problem Associated with Time-Periodic Flow
           Around a Rotating Obstacle

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      Abstract: Abstract Consider the resolvent problem associated with the linearized viscous flow around a rotating body. Within a setting of classical Sobolev spaces, this problem is not well posed on the whole imaginary axis. Therefore, a framework of homogeneous Sobolev spaces is introduced where existence of a unique solution can be guaranteed for every purely imaginary resolvent parameter. For this purpose, the problem is reduced to an auxiliary problem, which is studied by means of Fourier analytic tools in a group setting. In the end, uniform resolvent estimates can be derived, which lead to the existence of solutions to the associated time-periodic linear problem.
      PubDate: 2022-04-15
       
  • On the Space Analyticity of the
           Nernst–Planck–Navier–Stokes system

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      Abstract: Abstract We consider the forced Nernst–Planck–Navier–Stokes system for n ionic species with different diffusivities and valences. We prove the local existence of analytic solutions with periodic boundary conditions in two and three dimensions. In the case of two spatial dimensions, the local solution extends uniquely and remains analytic on any time interval [0, T]. In the three dimensional case, we give necessary and sufficient conditions for the global in time existence of analytic solutions. These conditions involve quantitatively only low regularity norms of the fluid velocity and concentrations.
      PubDate: 2022-04-13
       
  • Liouville Theorems for a Stationary and Non-stationary Coupled System of
           Liquid Crystal Flows in Local Morrey Spaces

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      Abstract: Abstract We consider here the simplified Ericksen–Leslie system on the whole space \(\mathbb {R}^{3}\) . This system deals with the incompressible Navier–Stokes equations strongly coupled with a harmonic map flow which models the dynamical behavior for nematic liquid crystals. For both, the stationary (time independent) case and the non-stationary (time dependent) case, using the fairly general framework of a kind of local Morrey spaces, we obtain some a priori conditions on the unknowns of this coupled system to prove that they vanish identically. This results are known as Liouville-type theorems. As a bi-product, our theorems also improve some well-known results on Liouville-type theorems for the particular case of classical Navier–Stokes equations.
      PubDate: 2022-04-07
       
  • The Shallow-Water Models with Cubic Nonlinearity

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      Abstract: Abstract In the present study several integrable equations with cubic nonlinearity are derived as asymptotic models from the classical shallow water theory. The starting point in our derivation is the Euler equation for an incompressible fluid with the simplest bottom and surface conditions. The approximate equations are obtained by working under suitable scalings that allow for the modeling of water waves of relatively large amplitude, truncating the asymptotic expansions of the unknowns to appropriate order, and introducing a special Kodama transformation. The so obtained equations exhibit cubic order nonlinearities and can be related to the following integrable systems: the Novikov equation, the modified Camassa–Holm equation, and a Camassa–Holm type equation with cubic nonlinearity. Analytically, the formation of singularities of the solution to some of these quasi-linear model equations is also investigated, with an emphasis on the understanding of the effect of the nonlocal higher order nonlinearities. In particular it is shown that one of the models accommodates the phenomenon of curvature blow-up.
      PubDate: 2022-04-01
       
  • On the Global Existence for the Compressible Euler–Riesz System

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      Abstract: Abstract The present paper aims at extending to the Euler–Riesz system the results obtained in (J Hyperbolic Differ Equ 18(1):169–193, 2021; J Evol Equ 21(3):3035–3054, 2021) for the Euler–Poisson and the Euler–Helmholtz systems supplemented with the isentropic pressure law \(\Pi (\varrho )=A\varrho ^\gamma ,\) in the whole space \({\mathbb {R}}^d\) with \(d\ge 2\) . Our first result is the local existence of classical solutions for the associated Cauchy problem in a simple functional framework that does not require the velocity to decay at infinity and the density to be compactly supported. This result is also valid for ideal gases in the isothermal case (that is \(\gamma =1\) ). Next, following the work by Grassin and Serre dedicated to the compressible Euler system (Grassin and Serre in C R Acad Sci Paris Sér I 325:721–726, 1997; Grassin in Indiana Univ Math J 47:1397–1432, 1998), we show that if the initial density is small enough, and the initial velocity is close to some reference vector field \(u_0\) such that the spectrum of \(Du_0\) is positive and bounded away from zero, then the corresponding classical solution is global, and satisfies algebraic time decay estimates (the constructed solution is only ‘almost global’ if \(\gamma =1\) ). Our functional framework enables us to address the instability issue of non trivial static solutions in the attractive case for \(\gamma =2d/(d+\sigma ),\) where \(\sigma \) stands for the exponent of the Riesz potential under consideration.
      PubDate: 2022-03-30
       
  • On the Euler $$+$$ + Prandtl Expansion for the Navier-Stokes Equations

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      Abstract: Abstract We establish the validity of the Euler \(+\) Prandtl approximation for solutions of the Navier-Stokes equations in the half plane with the Dirichlet boundary conditions, in the vanishing viscosity limit, for initial data which are analytic only near the boundary, and Sobolev smooth away from the boundary. Our proof does not require higher order correctors, and works directly by estimating an \(L^{1}\) -type norm for the vorticity of the error term in the expansion Navier-Stokes \(-(\) Euler \(+\) Prandtl). An important ingredient in the proof is the propagation of local analyticity for the Euler equation, a result of independent interest
      PubDate: 2022-03-28
       
  • Local Existence of Solutions to a Navier–Stokes-Nonlinear-Schrödinger
           Model of Superfluidity

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      Abstract: Abstract In Pitaevskii (Sov Phys JETP 35(8):282–287, 1959), a micro-scale model of superfluidity was derived from first principles, to describe the interacting dynamics between the superfluid and normal fluid phases of Helium-4. The model couples two of the most fundamental PDEs in mathematics: the nonlinear Schrödinger equation (NLS) and the Navier–Stokes equations (NSE). In this article, we show the local existence of solutions—strong in wavefunction and velocity, weak in density—to this system in a smooth bounded domain in 3D, by deriving the required a priori estimates. (We will also establish an energy inequality obeyed by the weak solutions constructed in Kim (SIAM J Math Anal 18(1):89–96, 1987) for the incompressible, inhomogeneous NSE.) To the best of our knowledge, this is the first rigorous mathematical analysis of a bidirectionally coupled system of the NLS and NSE.
      PubDate: 2022-03-28
       
  • Homogenization of the Full Compressible Navier-Stokes-Fourier System in
           Randomly Perforated Domains

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      Abstract: Abstract We consider the homogenization of the compressible Navier-Stokes-Fourier equations in a randomly perforated domain in \({\mathbb {R}}^3\) . Assuming that the particle size scales like \(\varepsilon ^\alpha \) , where \(\varepsilon >0\) is their mutual distance and \(\alpha >3\) , we show that in the limit \(\varepsilon \rightarrow 0\) , the velocity, density, and temperature converge to a solution of the same system. We follow the methods of Lu and Pokorný [https://doi.org/10.1016/j.jde.2020.10.032] and Pokorný and Skříšovský [https://doi.org/10.1007/s41808-021-00124-x] where they considered the full system in periodically perforated domains.
      PubDate: 2022-03-26
       
  • Exact Viscous Compressible Flow Describing the Dynamics of the Atmosphere

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      Abstract: Abstract We focus on the Navier–Stokes equations for a compressible viscous fluid—allowing variations of the dynamic eddy viscosity only in the vertical direction—and the continuity equation. Our problem is written in spherical coordinates, in a non-inertial rotating frame. For zonal flows, with no variations in the longitudinal direction, and in a neighbourhood of the Equator, we get a linear parabolic evolution equation that we solve by the method of separation of variables. For a dynamic eddy viscosity which decreases with height above the ground level, the velocity field obtained has an azimuthal component which depends on time and has a nonlinear dependence on the radial coordinate, and a vertical component which depends linearly on the radial coordinate.
      PubDate: 2022-03-21
       
  • Remarks on the Solution Map for Yudovich Solutions of the Euler Equations

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      Abstract: Abstract Consider Yudovich solutions to the incompressible Euler equations with bounded initial vorticity in bounded planar domains. We present a purely Lagrangian proof that the solution map is strongly continuous in \(L^p\) for all \(p\in [1, \infty )\) and is weakly- \(*\) continuous in \(L^\infty \) .
      PubDate: 2022-03-21
       
  • Theoretical and Numerical Analysis of a Simple Model Derived from
           Compressible Turbulence

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      Abstract: Abstract Turbulent compressible flows are encountered in many industrial applications, for instance when dealing with combustion or aerodynamics. This paper is dedicated to the study of a simple turbulent model for compressible flows. It is based on the Euler system with an energy equation and turbulence is accounted for with the help of an algebraic closure that impacts the thermodynamical behavior. Thereby, no additional PDE is introduced in the Euler system. First, a detailed study of the model is proposed: hyperbolicity, structure of the waves, nature of the fields, existence and uniqueness of the Riemann problem. Then, numerical simulations are proposed on the basis of existing finite-volume schemes. These simulations allow to perform verification test cases and more realistic explosion-like test cases with regards to the turbulence level.
      PubDate: 2022-03-21
       
  • Rotation Problem for a Two-Phase Drop

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      Abstract: Abstract The paper deals with the stability of a uniformly rotating finite mass consisting of two immiscible viscous incompressible fluids with unknown interface and exterior free boundary. Capillary forces act on both surfaces. The proof of stability is based on the analysis of an evolutionary problem for small perturbations of the equilibrium state of a rotating two-phase fluid. It is proved that for small initial data and small angular velocity, as well as the positivity of the second variation of energy functional, the perturbation of the axisymmetric equilibrium figure exponentially tends to zero as \(t\rightarrow \infty \) , the motion of the drop going over to the rotation of the liquid mass as a rigid body.
      PubDate: 2022-03-21
       
 
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