Asymptotic stability of a composite wave for the one-dimensional compressible micropolar fluid model without viscosity

DOI10.1016/j.jmaa.2018.08.040zbMath1404.35339arXiv1806.03617OpenAlexW2963626585MaRDI QIDQ1791543

Sina Zhang, Zhengzheng Chen, Liyun Zheng

Publication date: 10 October 2018

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1806.03617

zbMATH Keywords

nonlinear stabilityrarefaction wavesviscous contact wavecompressible micropolar fluid modelwithout viscosity

Mathematics Subject Classification ID

Non-Newtonian fluids (76A05) Asymptotic behavior of solutions to PDEs (35B40) General theory of rotating fluids (76U05) Perturbations in context of PDEs (35B20) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10) Self-similar solutions to PDEs (35C06) Euler equations (35Q31)

Related Items (8)

Nonlinear stability of rarefaction waves for a compressible micropolar fluid model with zero heat conductivity ⋮ The limits of coefficients of angular viscosity and microrotation viscosity to one-dimensional compressible Navier-Stokes equations for micropolar fluids model ⋮ Nonlinear stability of rarefaction waves to the compressible Navier-Stokes equations for a reacting mixture with zero heat conductivity ⋮ Asymptotic stability of a composite wave to the one-dimensional compressible Navier-Stokes equations for a reacting mixture ⋮ Global stability of rarefaction waves for the 1D compressible micropolar fluid model with density-dependent viscosity and microviscosity coefficients ⋮ Asymptotic stability of planar rarefaction wave to 3D micropolar equations ⋮ Nonlinear stability of rarefaction waves for micropolar fluid model with large initial perturbation ⋮ Vanishing viscosity limit of the 2D micropolar equations for planar rarefaction wave to a Riemann problem

Cites Work

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• Optimal time decay of the compressible micropolar fluids
• 3-D flow of a compressible viscous micropolar fluid with spherical symmetry: a global existence theorem
• Asymptotic stability of wave patterns to compressible viscous and heat-conducting gases in the half-space
• Stability of contact discontinuity for 1-D compressible viscous micropolar fluid model
• 3-D flow of a compressible viscous micropolar fluid with spherical symmetry: a local existence theorem
• Blowup criterion for viscous, compressible micropolar fluids with vacuum
• The Cauchy problem for a 1D compressible viscous micropolar fluid model: analysis of the stabilization and the regularity
• 3-D flow of a compressible viscous micropolar fluid with spherical symmetry: uniqueness of a generalized solution
• Global well-posedness and large-time decay for the 2D micropolar equations
• Stationary solutions to the one-dimensional micropolar fluid model in a half line: existence, stability and convergence rate
• Global solution to 3D problem of a compressible viscous micropolar fluid with spherical symmetry and a free boundary
• Global well-posedness for the micropolar fluid system in critical Besov spaces
• Stability of contact discontinuities for the 1-D compressible Navier-Stokes equations
• Contact discontinuity with general perturbations for gas motions
• Asymptotic stability of combination of viscous contact wave with rarefaction waves for one-dimensional compressible Navier-Stokes system
• Nonhomogeneous boundary value problem for one-dimensional compressible viscous micropolar fluid model: Regularity of the solution
• Non-homogeneous boundary value problem for one-dimensional compressible viscous micropolar fluid model: a local existence theorem
• Micropolar fluids. Theory and applications
• Convergence to travelling fronts of solutions of the \(p\)-system with viscosity in the presence of a boundary
• Global strong solution for initial-boundary value problem of one-dimensional compressible micropolar fluids with density dependent viscosity and temperature dependent heat conductivity
• Global solutions for a one-dimensional compressible micropolar fluid model with zero heat conductivity
• Nonlinear stability of rarefaction waves for compressible Navier-Stokes equations
• Large time existence of strong solutions to micropolar equations in cylindrical domains
• Blowup criterion for the three-dimensional equations of compressible viscous micropolar fluids with vacuum
• One-dimensional compressible viscous micropolar fluid model: stabilization of the solution for the Cauchy problem
• Asymptotic stability of a composite wave of two viscous shock waves for a one-dimensional system of non-viscous and heat-conductive ideal gas
• Global weak solutions of 3D compressible micropolar fluids with discontinuous initial data and vacuum
• 3-D flow of a compressible viscous micropolar fluid with spherical symmetry: large time behavior of the solution
• Stability of a composite wave of two viscous shock waves for the full compressible Navier-Stokes equation
• Stability of rarefaction waves for 1-D compressible viscous micropolar fluid model
• Decay rates to viscous contact waves for the compressible Navier-Stokes equations
• Stability of superposition of viscous contact wave and rarefaction waves for compressible Navier-Stokes system
• Global Strong Solutions for the Viscous, Micropolar, Compressible Flow
• Non-homogeneous boundary value problem for one-dimensional compressible viscous micropolar fluid model: a global existence theorem
• On the stability of travelling wave solutions of a one-dimensional model system for compressible viscous gas
• Asymptotics toward the rarefaction waves of the solutions of a one-dimensional model system for compressible viscous gas
• A class of similarity solutions of the nonlinear diffusion equation
• Global stability of combination of viscous contact wave with rarefaction wave for compressible Navier–Stokes equations with temperature-dependent viscosity
• Nonlinear Stability of Strong Rarefaction Waves for Compressible Navier--Stokes Equations
• Microcontinuum Field Theories
• Global in time estimates for one-dimensional compressible viscous micropolar fluid model
• 3-D flow of a compressible viscous micropolar fluid with spherical symmetry: regularity of the solution

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