Decay rate for travelling waves of a relaxation model
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Publication:678049
DOI10.1006/jdeq.1996.3220zbMath0908.35074OpenAlexW2020455980MaRDI QIDQ678049
Tong Yang, Ching-Wah Woo, Hai-liang Liu
Publication date: 4 March 1999
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1006/jdeq.1996.3220
Related Items
CONVERGENCE RATES TO SUPERPOSITION OF TWO TRAVELLING WAVES OF THE SOLUTIONS TO A RELAXATION HYPERBOLIC SYSTEM WITH BOUNDARY EFFECTS ⋮ Generalized Riemann problems and exact solutions for \(p\)-systems with relaxation ⋮ Zero relaxation limit to centered rarefaction waves for Jin-Xin relaxation system ⋮ Rate of convergence of solutions to traveling fronts for some quasi-linear relaxation systems with viscous ⋮ The Jin-Xin relaxation approximation of scalar conservation laws in several dimensions with large initial perturbation ⋮ Convergence to traveling waves with decay rates for solutions of the initial boundary problem to a relaxation model ⋮ The \(L^p\) stability of relaxation rarefaction profiles ⋮ Nonlinear stability of strong planar rarefaction waves for the relaxation approximation of conservation laws in several space dimensions ⋮ Convergence rates to travelling waves for a nonconvex relaxation model ⋮ \(L ^{p}\)-convergence rate to diffusion waves for \(p\)-system with relaxation.
Cites Work
- Hyperbolic conservation laws with relaxation
- Asymptotic stability of traveling waves for scalar viscous conservation laws with non-convex nonlinearity
- Asymptotic stability of shock profiles for nonconvex convection-diffusion equation
- Stability of travelling waves for non‐convex scalar viscous conservation laws
- Hyperbolic conservation laws with stiff relaxation terms and entropy
- The relaxation schemes for systems of conservation laws in arbitrary space dimensions
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