Global solution of 3D irrotational flow for gas dynamics in thermal nonequilibrium
Annales de l'I.H.P. Analyse non linéaire, Tome 37 (2020) no. 1, pp. 225-238.
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We study the three-dimensional irrotational flow for gas dynamics in thermal nonequilibrium. The global existence and large time behavior of the classical solution to the Cauchy problem are established when the initial data are near the equilibrium state with an additional L1-norm bound. We mention that the uniform bound on derivatives of the entropy is obtained by using the a priori decay-in-time estimate on the velocity.

DOI : 10.1016/j.anihpc.2019.02.005
Mots-clés : Gas dynamics in thermal nonequilibrium, Irrotational flow, Spectral analysis 
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Huang, Yongting; Luo, Tao. Global solution of 3D irrotational flow for gas dynamics in thermal nonequilibrium. Annales de l'I.H.P. Analyse non linéaire, Tome 37 (2020) no. 1, pp. 225-238. doi : 10.1016/j.anihpc.2019.02.005. http://archive.numdam.org/articles/10.1016/j.anihpc.2019.02.005/

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