Nonlinear \(L^2\)-stability under large disturbances
From MaRDI portal
Publication:1300753
DOI10.1016/S0377-0427(98)00253-2zbMath0942.35027MaRDI QIDQ1300753
Publication date: 15 August 2000
Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)
decay ratesCauchy problemrarefaction wavesuniformly parabolic equations\(L^2\) estimatesdiffusion waves
Asymptotic behavior of solutions to PDEs (35B40) Nonlinear parabolic equations (35K55) Stability in context of PDEs (35B35) A priori estimates in context of PDEs (35B45) Second-order parabolic systems (35K40)
Related Items
On some energy inequalities and supnorm estimates for advection-diffusion equations in \(\mathbb R^n\) ⋮ An asymptotic supnorm estimate for solutions of 1-D systems of convection-diffusion equations ⋮ The \(L^p\) stability of relaxation rarefaction profiles ⋮ Some asymptotic properties for solutions of one-dimensional advection-diffusion equations with Cauchy data in \(L^p(\mathbb R)\). ⋮ Some \(L^p\) estimates for rotationally invariant systems of viscous conservation laws
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Rotational degeneracy of hyperbolic systems of conservation laws
- Multiple-mode diffusion waves for viscous nonstrictly hyperbolic conservation laws
- Rarefactions and large time behavior for parabolic equations and monotone schemes
- Erratum: Convergence of diffusion waves of solutions for viscous conservation laws
- A system of non-strictly hyperbolic conservation laws arising in elasticity theory
- Global solution of the Cauchy problem for a class of 2x2 nonstrictly hyperbolic conservation laws
- A note on the stability of the rarefaction wave of the Burgers equation
- Rotationally invariant hyperbolic waves
- Large-time behaviour of solutions to hyperbolic–parabolic systems of conservation laws and applications
- Behavior of the solutions of the Cauchy problem for certain quasilinear equations for unbounded increase of the time
- The partial differential equation ut + uux = μxx
- On a quasi-linear parabolic equation occurring in aerodynamics
