Convergence rate of solutions towards the stationary solutions to symmetric hyperbolic-parabolic systems in half space
type: Item
instance of: scholarly article
title: Convergence rate of solutions towards the stationary solutions to symmetric hyperbolic-parabolic systems in half space
zbMATH Open document ID: 1406.35057
author: Tohru Nakamura
author: Shinya Nishibata
author: Naoto Usami
published in: Kinetic and Related Models
publication date: 2019-01-29T00:00:00Z
Mathematics Subject Classification ID: 35B40
Mathematics Subject Classification ID: 35B35
Mathematics Subject Classification ID: 74D10
Mathematics Subject Classification ID: 76N20
Mathematics Subject Classification ID: 35L65
zbMATH DE Number: 7007836
zbMATH Keywords: compressible viscous gases
zbMATH Keywords: viscous conservation laws
zbMATH Keywords: boundary layer solution
zbMATH Keywords: energy method
zbMATH Keywords: one-dimensional half space
zbMATH Keywords: weighted Sobolev space
MaRDI profile type: Publication
full work available at URL: krm.2018031
OpenAlex ID: W2798155364
cites work: Systems of Conservation Equations with a Convex Extension
cites work: Q5329330
cites work: Hardy type inequality and application to the stability of degenerate stationary waves
cites work: Asymptotic stability of traveling wave solutions of systems for one-dimensional gas motion
cites work: STATIONARY WAVES TO VISCOUS HEAT-CONDUCTIVE GASES IN HALF-SPACE: EXISTENCE, STABILITY AND CONVERGENCE RATE
cites work: Asymptotic stability of the stationary solution to the compressible Navier-Stokes equations in the half space
cites work: On the normal form of the symmetric hyperbolic-parabolic systems associated with the conservation laws
cites work: Asymptotic stability of traveling waves for scalar viscous conservation laws with non-convex nonlinearity
cites work: Degenerate boundary layers for a system of viscous conservation laws
cites work: Stationary wave associated with an inflow problem in the half-line for viscous heat-conductive gas
cites work: Existence and asymptotic stability of stationary waves for symmetric hyperbolic–parabolic systems in half-line
cites work: Convergence rate of solutions toward stationary solutions to the compressible Navier-Stokes equation in a half line
cites work: Q4824226
cites work: Systems of equations of hyperbolic-parabolic type with applications to the discrete Boltzmann equation
cites work: Stability of degenerate stationary waves for viscous gases
cites work: On the decay of solutions to the linearized equations of electro-magneto-fluid dynamics
Wikidata QID: Q129964904
DOI: 10.3934/KRM.2018031
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description: scientific article; zbMATH DE number 7007836