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Abstract

This paper is focused on the generalized Forchheimer flows for slightly compressible fluids, described as a system of two nonlinear degenerating partial differential equations of first order. We prove the existence and uniqueness of the Dirichlet problem for the stationary case. The technique of semidiscretization in time is used to prove the existence for the time-dependent case.

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19 Jul 2022
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Metadata

  • Institution
    • Gainesville

  • Publisher
    • Journal of Mathematical Physics 61, 013507 (2020)

  • Date submitted

    19 July 2022

  • Additional information
    • Book or Journal Information:

      Journal of Mathematical Physics aip.scitation.org/doi/10.1063/1.5085004