Relaxation limit for a symmetrically hyperbolic system
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Publication:1049012
DOI10.1016/j.na.2009.06.098zbMath1180.35335OpenAlexW2067026611MaRDI QIDQ1049012
Publication date: 8 January 2010
Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.na.2009.06.098
equilibrium state\(L^\infty \) estimatestiff relaxationdominant diffusioninvariant region theorysymmetrically hyperbolic system
Hyperbolic conservation laws (35L65) A priori estimates in context of PDEs (35B45) Initial value problems for first-order hyperbolic systems (35L45)
Cites Work
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- On a nonstrictly hyperbolic system of conservation laws
- Singular limits of stiff relaxation and dominant diffusion for nonlinear systems
- The study on application way of the compensated compactness theory
- Long-time effect of relaxation for hyperbolic conservation laws
- Strong convergence of approximate solutions for nonlinear hyperbolic equation without convexity
- Global weak solution for a symmetrically hyperbolic system
- Convergence of solutions to nonlinear dispersive equations without convexity conditions
- Hyperbolic systems of conservation laws with a symmetry
- Hyperbolic conservation laws with stiff relaxation terms and entropy
- Solutions in the large for some nonlinear hyperbolic conservation laws
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