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Revista Integración
versión impresa ISSN 0120-419Xversión On-line ISSN 2145-8472
Resumen
WANG, Xian-ting; LU, Yun-guang y 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 30-Jun-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.
Palabras clave : Global L ∞ solution; isothermal system; outer force; flux approximation; compensated compactness.