NONLINEAR STABILITY OF PLANAR BOUNDARY LAYER SOLUTIONS FOR DAMPED WAVE EQUATION
DOI10.1142/S0219891611002494zbMath1232.35022OpenAlexW2092741646WikidataQ115245244 ScholiaQ115245244MaRDI QIDQ3098232
Hongxia Liu, Huijiang Zhao, Lili Fan
Publication date: 17 November 2011
Published in: Journal of Hyperbolic Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1142/s0219891611002494
decay rateslarge initial perturbationcontinuation argumentspace-time weighted energy methodsub-characteristic conditionmulti-dimensional damped wave equationplanar boundary layer solution
Asymptotic behavior of solutions to PDEs (35B40) Initial-boundary value problems for second-order hyperbolic equations (35L20) Stability in context of PDEs (35B35) Gas dynamics (general theory) (76N15) Hyperbolic conservation laws (35L65) Second-order semilinear hyperbolic equations (35L71)
Cites Work
- Unnamed Item
- Asymptotic stability of traveling wave solutions of systems for one-dimensional gas motion
- Asymptotic behavior for scalar viscous conservation laws with boundary effect
- Stability of degenerate stationary waves for viscous gases
- Stability of planar stationary solutions to the compressible Navier-Stokes equation on the half space
- Boundary layer to a system of viscous hyperbolic conservation laws
- Convergence rates of solutions toward boundary layer solutions for generalized Benjamin-Bona-Mahony-Burgers equations in the half-space
- Stability of boundary layer and rarefaction wave to an outflow problem for compressible Navier-Stokes equations under large perturbation
- Hardy type inequality and application to the stability of degenerate stationary waves
- Asymptotic stability of the stationary solution to the compressible Navier-Stokes equations in the half space
- Convergence rate of solutions toward stationary solutions to the compressible Navier-Stokes equation in a half line
- Behaviors of Solutions for the Burgers Equation with Boundary corresponding to Rarefaction Waves
This page was built for publication: NONLINEAR STABILITY OF PLANAR BOUNDARY LAYER SOLUTIONS FOR DAMPED WAVE EQUATION
