Nonlinear asymptotic stability of traveling waves of system for gas dynamics in thermal nonequilibrium. (English) Zbl 1439.35048
This is a very nice piece of work in a popular area. The authors study a sort of quasi-equilibrium system: a simple non-equilibrium system that is close to euilibrium at any instant. The authors established nonlinear asymptotic stability of small shock under small initial data. In this setting the shock is observable.
Reviewer: Y. Charles Li (Columbia)
MSC:
| 35B35 | Stability in context of PDEs |
| 35C07 | Traveling wave solutions |
| 35Q31 | Euler equations |
| 35B40 | Asymptotic behavior of solutions to PDEs |
| 35L67 | Shocks and singularities for hyperbolic equations |
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