4.6 Article

Weak solutions of coupled variable-density flows and heat transfer in porous media

Journal

Publisher

PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.na.2022.112973

Keywords

Initial-boundary value problems for; second-order parabolic systems; Global existence and regularity of; solutions; Maximum principle; Coupled heat and mass transport; Variable-density flows in porous media

Funding

  1. Center of Advanced Applied Sciences (CAAS) [CZ.02.1.01/0.0/0.0/16-019/0000778]

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This study considers a fully nonlinear degenerate parabolic system that describes the three-dimensional variable-density Darcian flow of a heat conducting fluid through porous media. The research establishes the global existence of weak solutions to the relevant initial-boundary value problems in nonsmooth domains under physically reasonable hypotheses on the data and mixed boundary conditions.
We consider a fully nonlinear degenerate parabolic system describing the threedimensional variable-density Darcian flow of a heat conducting fluid through porous media. We establish the global existence of weak solutions to the relevant initial-boundary value problems in nonsmooth domains under physically reasonable hypotheses on the data and mixed boundary conditions. (c) 2022 Elsevier Ltd. All rights reserved.

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