Skip to main content

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.

Files

File nameDate UploadedVisibilityFile size
ExistenceSolForchheimerGas.pdf
19 Jul 2022
Public
4.56 MB

Metrics

Metadata

  • Institution
    • Gainesville

  • Publisher
    • Journal of Mathematical Physics

  • Date submitted

    19 July 2022

  • Additional information