Vanishing viscosity limit of the 2D micropolar equations for planar rarefaction wave to a Riemann problem

DOI10.1007/s00033-020-01347-zzbMath1442.35256OpenAlexW3038350527MaRDI QIDQ777347

Guiqiong Gong, Lan Zhang

Publication date: 7 July 2020

Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00033-020-01347-z

zbMATH Keywords

energy estimatesmicropolar system

Mathematics Subject Classification ID

Shocks and singularities for hyperbolic equations (35L67) Singular perturbations in context of PDEs (35B25) Hyperbolic conservation laws (35L65) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10) Euler equations (35Q31)

Related Items (1)

Nonlinear stability of rarefaction waves for micropolar fluid model with large initial perturbation

Cites Work

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• Stability of contact discontinuity for 1-D compressible viscous micropolar fluid model
• Zero dissipation limit to rarefaction wave with vacuum for one-dimensional full compressible Navier-Stokes equations
• Stability of the composite wave for the inflow problem on the micropolar fluid model
• Asymptotic stability of traveling wave solutions of systems for one-dimensional gas motion
• Asymptotic behavior of solutions for the equations of a viscous heat- conductive gas
• Vanishing viscosity limit of the compressible Navier-Stokes equations for solutions to a Riemann problem
• Stability of contact discontinuities for the 1-D compressible Navier-Stokes equations
• Contact discontinuity with general perturbations for gas motions
• Convergence to rarefaction waves for the nonlinear Boltzmann equation and compressible Navier-Stokes equations
• Global stability of the rarefaction wave of a one-dimensional model system for compressible viscous gas
• Stability of planar rarefaction wave to 3D full compressible Navier-Stokes equations
• Asymptotic stability of a composite wave for the one-dimensional compressible micropolar fluid model without viscosity
• Nonlinear stability of viscous shock profiles for compressible Navier-Stokes equations with temperature-dependent transport coefficients and large initial perturbation
• Nonlinear stability of rarefaction waves for compressible Navier-Stokes equations
• Asymptotic stability of planar rarefaction wave to 3D micropolar equations
• Nonlinear stability of viscous shock waves for one-dimensional nonisentropic compressible Navier-Stokes equations with a class of large initial perturbation
• Stability of stationary solutions for inflow problem on the micropolar fluid model
• Stability of rarefaction waves for 1-D compressible viscous micropolar fluid model
• The Limit of the Boltzmann Equation to the Euler Equations for Riemann Problems
• Zero Dissipation Limit to Rarefaction Wave with Vacuum for One-Dimensional Compressible Navier–Stokes Equations
• Vanishing Viscosity Limit to Rarefaction Waves for the Navier--Stokes Equations of One-Dimensional Compressible Heat-Conducting Fluids
• Asymptotics toward the rarefaction waves of the solutions of a one-dimensional model system for compressible viscous gas
• Nonlinear Stability of Strong Rarefaction Waves for Compressible Navier--Stokes Equations
• Stability of Planar Rarefaction Wave to Two-Dimensional Compressible Navier--Stokes Equations
• Shock waves for compressible navier‐stokes equations are stable
• ASYMPTOTIC DECAY TOWARD THE PLANAR RAREFACTION WAVES OF SOLUTIONS FOR VISCOUS CONSERVATION LAWS IN SEVERAL SPACE DIMENSIONS
• Asymptotic Stability of Planar Rarefaction Waves for Viscous Conservation Laws in Several Dimensions

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