Linear stability of viscous shock wave for 1-D compressible Navier-Stokes equations with Maxwell’s law
DOI10.1090/qam/1608zbMath1487.35292OpenAlexW4213315863WikidataQ114849122 ScholiaQ114849122MaRDI QIDQ5067471
Publication date: 1 April 2022
Published in: Quarterly of Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1090/qam/1608
Asymptotic behavior of solutions to PDEs (35B40) Stability in context of PDEs (35B35) Shock waves and blast waves in fluid mechanics (76L05) Navier-Stokes equations (35Q30) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10) Traveling wave solutions (35C07)
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Cites Work
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- Nonlinear stability of viscous shock wave to one-dimensional compressible isentropic Navier-Stokes equations with density dependent viscous coefficient
- A quasilinear delayed hyperbolic Navier-Stokes system: global solution, asymptotics and relaxation limit
- Newtonian limit of Maxwell fluid flows
- Asymptotic stability of viscous shock wave for a one-dimensional isentropic model of viscous gas with density dependent viscosity
- Asymptotic stability of traveling wave solutions of systems for one-dimensional gas motion
- Unique global solution with respect to time of initial-boundary value problems for one-dimensional equations of a viscous gas
- Nonlinear stability of viscous shock waves
- Convergence to travelling fronts of solutions of the \(p\)-system with viscosity in the presence of a boundary
- On the asymptotic behavior of the motion of a viscous, heat-conducting, one-dimensional real gas
- Viscous shock profile and singular limit for hyperbolic systems with Cattaneo's law
- Stability of large-amplitude viscous shock profiles of hyperbolic-parabolic systems
- Asymptotic behavior of solutions toward the superposition of contact discontinuity and shock wave for compressible Navier-Stokes equations with free boundary
- Hyperbolic Navier-Stokes equations. I: Local well-posedness
- Hyperbolic Navier-Stokes equations. II: Global existence of small solutions
- Compressible Navier-Stokes equations with revised Maxwell's law
- Constitutive models for linear compressible viscoelastic flows of simple liquids at nanometer length scales
- On the stability of travelling wave solutions of a one-dimensional model system for compressible viscous gas
- Pointwise convergence to shock waves for viscous conservation laws
- A Gas-Solid Free Boundary Problem for a Compressible Viscous Gas
- Shock waves in conservation laws with physical viscosity
- Global existence versus blow‐up results for one dimensional compressible Navier–Stokes equations with Maxwell's law
- Large-time behaviors of solutions to an inflow problem in the half-space for a one-dimensional system of compressible viscous gas
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