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.
Journal of Mathematical Physics
- Date submitted
19 July 2022
- Additional information
Book or Journal Information:
Journal of Mathematical Physics aip.scitation.org/doi/abs/10.1063/5.0002265?journalCode=jmp