Asymptotic stability of wave patterns to compressible viscous and heat-conducting gases in the half space

Abstract

We study the large-time behavior of solutions to the compressible Navier-Stokes equations for a viscous and heat-conducting ideal polytropic gas in the one-dimensional half-space. A rarefaction wave and its superposition with a non-degenerate stationary solution are shown to be asymptotically stable for the outflow problem with large initial perturbation and general adiabatic exponent.

Contact [email protected] for any comments. arXiv admin note: substantial text overlap with arXiv:1503.03922

References in corpus (4)

• Some Uniform Estimates and Large-Time Behavior for One-Dimensional Compressible Navier-Stokes System in Unbounded Domains with Large Data
• Inflow Problem for the One-dimensional Compressible Navier-Stokes Equations under Large Initial Perturbation
• Stability of stationary solutions to the outflow problem for full compressible Navier-Stokes equations with large initial perturbation
• Stability of Superposition of Viscous Contact Wave and Rarefaction Waves for Compressible Navier-Stokes System

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• Nonlinear stability of rarefaction waves for a viscous radiative and reactive gas with large initial perturbation
• Existence and Nonlinear Stability of Steady-States to Outflow Problem for the Full Two-Phase Flow
• Global Existence and Large-time Behavior of Solutions to the Cauchy Problem of One-dimensional Viscous Radiative and Reactive Gas
• Global Spherical Symmetric Flows for a Viscous Radiative and Reactive Gas in an Exterior Domain with Large Initial Data
• Asymptotic stability of viscous contact wave and rarefaction waves for the system of heat-conductive ideal gas without viscosity
• Global stability of combination of viscous contact wave with rarefaction waves for the compressible fluid models of Korteweg type
• Asymptotic stability of a composite wave for the one-dimensional compressible micropolar fluid model without viscosity