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arXiv · 1903.00361

Solvability of the mixed formulation for generalized Forchheimer flows of isentropic gases

Thinh Kieu
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Abstract

This paper is focused on the generalized Forchheimer flows of isentropic gas, described by a system of two nonlinear degenerating differential equations of first order. We prove the existence and uniqueness of the Dirichlet problem for stationary problem. The technique of semi-discretization in time is used to prove the existence for the time-dependent problem.

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Thinh Kieu. 2019-02-28. Solvability of the mixed formulation for generalized Forchheimer flows of isentropic gases. https://doi.org/10.1063/5.0002265

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