On the stability of rarefaction wave solutions for viscous \(p\)-system with boundary effect
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Publication:1879141
DOI10.1007/s10255-003-0109-zzbMath1138.35369OpenAlexW2006766350WikidataQ126265334 ScholiaQ126265334MaRDI QIDQ1879141
Publication date: 22 September 2004
Published in: Acta Mathematicae Applicatae Sinica. English Series (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10255-003-0109-z
PDEs in connection with fluid mechanics (35Q35) Stability in context of PDEs (35B35) Hyperbolic conservation laws (35L65) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10)
Related Items (13)
Stability of boundary layer to an outflow problem for a compressible non-Newtonian fluid in the half space ⋮ Global stability of rarefaction wave for the outflow problem governed by the radiative Euler equations ⋮ Large-time behavior of solutions to the inflow problem of full compressible Navier–Stokes equations with large perturbation ⋮ Viscous shock wave to an inflow problem for compressible viscous gas with large density oscillations ⋮ Global existence and large-time behavior of solutions to the 1D compressible Navier-Stokes equations with density-dependent viscosity in the half space ⋮ Asymptotic Stability of Shock Wave for the Outflow Problem Governed by the One-Dimensional Radiative Euler Equations ⋮ A Note on Asymptotic Stability of Rarefaction Wave of the Impermeable Problem for Radiative Euler Flows ⋮ Asymptotic stability of viscous contact discontinuity to an inflow problem for compressible Navier-Stokes equations ⋮ Convergence rate of stationary solutions to outflow problem for full Navier–Stokes equations ⋮ The stability of rarefaction wave for Navier-Stokes equations in the half-line ⋮ Inflow problem for the one-dimensional compressible Navier-Stokes equations under large initial perturbation ⋮ Stability of boundary layer and rarefaction wave to an outflow problem for compressible Navier-Stokes equations under large perturbation ⋮ Stability of Stationary Solutions to the Inflow Problem for Full Compressible Navier--Stokes Equations with a Large Initial Perturbation
Cites Work
- Asymptotic stability of rarefraction waves for 2\(\times 2\) viscous hyperbolic conservation laws - the two-modes case
- Global stability of the rarefaction wave of a one-dimensional model system for compressible 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
- Viscous shock wave and boundary layer solution to an inflow problem for compressible viscous gas
- Asymptotic stability of the stationary solution to the compressible Navier-Stokes equations in the half space
- Asymptotic stability of the rarefaction wave of a one-dimensional model system for compressible viscous gas with boundary
- Nonlinear stability of shock waves for viscous conservation laws
- 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
- Behaviors of Solutions for the Burgers Equation with Boundary corresponding to Rarefaction Waves
- Global asymptotics toward the rarefaction wave for solutions of viscous 𝑝-system with boundary effect
- STABILITY OF STATIONARY SOLUTIONS TO THE HALF-SPACE PROBLEM FOR THE DISCRETE BOLTZMANN EQUATION WITH MULTIPLE COLLISIONS
- Inflow and outflow problems in the half-space for a one-dimensional isentropic model system of compressible viscous gas.
- 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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