CONVERGENCE RATES TO SUPERPOSITION OF TWO TRAVELLING WAVES OF THE SOLUTIONS TO A RELAXATION HYPERBOLIC SYSTEM WITH BOUNDARY EFFECTS
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Publication:4798904
DOI10.1142/S0218202501000994zbMath1013.35050OpenAlexW2093831132MaRDI QIDQ4798904
Ling Hsiao, Ming Mei, Hai-liang Li
Publication date: 16 March 2003
Published in: Mathematical Models and Methods in Applied Sciences (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1142/s0218202501000994
Asymptotic behavior of solutions to PDEs (35B40) First-order nonlinear hyperbolic equations (35L60) Perturbations in context of PDEs (35B20) Initial-boundary value problems for first-order hyperbolic systems (35L50)
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Cites Work
- Unnamed Item
- Asymptotic stability of traveling wave solutions of systems for one-dimensional gas motion
- Decay rate for travelling waves of a relaxation model
- Asymptotic behavior for scalar viscous conservation laws with boundary effect
- \(L^ 1\) nonlinear stability of traveling waves for a hyperbolic system with relaxation
- Hyperbolic conservation laws with relaxation
- Convergence to travelling fronts of solutions of the \(p\)-system with viscosity in the presence of a boundary
- Asymptotic stability of traveling waves for scalar viscous conservation laws with non-convex nonlinearity
- Nonlinear stability of shock fronts for a relaxation system in several space dimensions
- Propagation of a stationary shock layer in the presence of a boundary
- Long-time effect of relaxation for hyperbolic conservation laws
- A convex entropy for a hyperbolic system with relaxation
- Nonlinear stability with decay rate for traveling wave solutions of a hyperbolic system with relaxation
- The initial boundary value problems for hyperbolic conservation laws with relaxation
- Numerical schemes for hyperbolic conservation laws with stiff relaxation terms
- Convergence to traveling waves with decay rates for solutions of the initial boundary problem to a relaxation model
- Kinetic and viscous boundary layers for broadwell equations
- Convergence rates to travelling waves for a nonconvex relaxation model
- Asymptotic limit of initial boundary value problems for conservation laws with relaxational extensions
- Zero relaxation and dissipation limits for hyperbolic conservation laws
- Hyperbolic conservation laws with stiff relaxation terms and entropy
- Stability of shock profiles in viscoelasticity with non‐convex constitutive relations
- The Asymptotic Behavior of the Hyperbolic Conservation Laws with Relaxation on the Quarter-Plane
- Stability of a Relaxation Model with a Nonconvex Flux
- The relaxation schemes for systems of conservation laws in arbitrary space dimensions
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