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Global Small Solutions to the Inviscid Hall-MHD System

期刊: JOURNAL OF MATHEMATICAL FLUID MECHANICS, 2021; 23 (4)

The local existence of smooth solutions to the inviscid Hall-MHD system has been obtained since Chae, Degond and Liu (Ann. Inst. H. Poincar ' e Anal. ......

Symmetric Waves are Traveling Waves for the Rotation-Camassa-Holm Equation

期刊: JOURNAL OF MATHEMATICAL FLUID MECHANICS, 2021; 23 (3)

In this paper, we prove that classical symmetric solutions to the rotation-Camassa-Holm equation must be traveling wave solutions. We discover how the......

On the Symmetry and Recovery of Steady Continuously Stratified Periodic Water Waves

期刊: JOURNAL OF MATHEMATICAL FLUID MECHANICS, 2021; 23 (4)

This paper considers two-dimensional steady continuously stratified periodic water waves. We first use the moving plane method to establish that the s......

Decay Rates for Strong Solutions to the Compressible Navier-Stokes Equations without Heat Conductivity

期刊: JOURNAL OF MATHEMATICAL FLUID MECHANICS, 2021; 23 (3)

In this paper, we consider the compressible Navier-Stokes equations without heat conductivity in R-3. The global existence and uniqueness of strong so......

Local Existence and Uniqueness of Strong Solutions to the Two Dimensional Compressible Primitive Equations with Density-Dependent Viscosity

期刊: JOURNAL OF MATHEMATICAL FLUID MECHANICS, 2021; 23 (3)

In this paper, we consider the initial boundary value problem of the 2D compressible primitive equations with density-dependent viscosity for atmosphe......

Large-time Behavior of Magnetohydrodynamics with Temperature-Dependent Heat-Conductivity

期刊: JOURNAL OF MATHEMATICAL FLUID MECHANICS, 2021; 23 (3)

For the strong solutions to the equations of a planar magnetohydrodynamic compressible flow with the heat conductivity proportional to a nonnegative p......

On the Breakdown of Regular Solutions with Finite Energy for 3D Degenerate Compressible Navier-Stokes Equations

期刊: JOURNAL OF MATHEMATICAL FLUID MECHANICS, 2021; 23 (3)

In this paper, the three-dimensional (3D) isentropic compressible Navier-Stokes equations with degenerate viscosities (ICND) is considered in both the......

On Conditional Regularity for the MHD Equations via Partial Components

期刊: JOURNAL OF MATHEMATICAL FLUID MECHANICS, 2021; 23 (3)

In this paper we establish some new regularity criteria for the three dimensional incompressible MHD equations via partial components of velocity and ......

On Formation of Singularity for Full Compressible Navier-Stokes System with Zero Heat Conduction

期刊: JOURNAL OF MATHEMATICAL FLUID MECHANICS, 2021; 23 (2)

We prove that the maximum norm of the density and temperature controls the breakdown of smooth (strong) solutions to the two-dimensional (2D) Cauchy p......

Constant Vorticity Ekman Flows in the beta-Plane Approximation

期刊: JOURNAL OF MATHEMATICAL FLUID MECHANICS, 2021; 23 (3)

In this paper, we study the classical problem of the wind in the steady atmospheric Ekman layer with constant eddy viscosity. Three dimensional Ekman ......

Nonlinear Stability of Planar Vortex Patches in an Ideal Fluid

期刊: JOURNAL OF MATHEMATICAL FLUID MECHANICS, 2021; 23 (3)

In this paper, we prove nonlinear stability of planar vortex patches concentrated near a non-degenerate minimum point of the Robin function in a gener......

Global Well-Posedness and Decay Rates for the Three-Dimensional Compressible Phan-Thein-Tanner Model

期刊: JOURNAL OF MATHEMATICAL FLUID MECHANICS, 2021; 23 (3)

In this paper, we are concerned with the global well-posedness and decay rates of strong solutions for the three-dimensional compressible Phan-Thein-T......

Global Classical Solutions and Stabilization in a Two-Dimensional Parabolic-Elliptic Keller-Segel-Stokes System

期刊: JOURNAL OF MATHEMATICAL FLUID MECHANICS, 2021; 23 (3)

A class of parabolic-elliptic Keller-Segel-Stokes systems generalizing the prototype {n(t) + u . del n = Delta n - C-S del . (n(1 + n)(-alpha)del c), ......

Variational Formulation of Rotational Steady Water Waves in Two-Layer Flows

期刊: JOURNAL OF MATHEMATICAL FLUID MECHANICS, 2021; 23 (4)

We present a variational formulation for steady periodic water waves in two-layer flows by showing that critical points of a natural energy functional......

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