Linearized stability of planar rarefaction wave for 3D gas dynamics in thermal nonequilibrium

For the three-dimensional gas flow in vibrational nonequilibrium, the linearized stability of the planar rarefaction waves is obtained in this paper in terms of the rarefaction wave strength is small enough. The main feature of the problem is that the $L^2$-norm of the perturbations may grow in time.

Keywords

thermal nonequilibrium, weak dissipation

2010 Mathematics Subject Classification

35B35, 35B40

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Zhong is supported by National Natural Science Foundation of China (No.12201520), the Fundamental Research Funds for the Central Universities (No. 2682021CX079), and Natural Science Foundation of Sichuan Province (No. 2022NSFSC1793, 2023NSFSC0064).

Received 1 November 2021

Received revised 2 December 2022

Accepted 7 July 2023

Published 1 February 2024