Abstract

WANG, Xian-ting; LU, Yun-guang  and  RENDON, Leonardo. Global Existence and Stability to Isothermal Gas Dynamics System with an Outer Force. Integración - UIS [online]. 2020, vol.38, n.2, pp.103-108.  Epub June 30, 2020. ISSN 0120-419X.  https://doi.org/10.18273/revint.v38n2-2020003.

In this paper, we apply the classical viscosity method, coupled with the flux approximation and the compensated compactness theory to obtain the global existence of the bounded entropy solutions for the isothermal gas dynamics system with an outer source. The a-priori time-independent L∞ estimates are proved by applying the maximum principle to a suitable non-linear coupled parabolic system of two equations.

Keywords : Global L ^∞ solution; isothermal system; outer force; flux approximation; compensated compactness.

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