Campus

Gainesville

Publication date

7-6-2020

Publisher

Journal of Mathematical Physics

Book or Journal Information

Journal of Mathematical Physics https://aip.scitation.org/doi/abs/10.1063/5.0002265?journalCode=jmp

Abstract

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

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Solution of the Mixed Formulation for Generalized Forchheimer Flows of Isentropic Gases

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