Weak solutions of coupled variable-density flows and heat transfer in porous media. (August 2022)

• Record Type: Journal Article
• Authors: Beneš, Michal
• Is Part Of: Nonlinear analysis. Volume 221(2022)
• Publication Date: 2022-08
• Subjects: 35K51 -- 35A01 -- 35B65; 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; Mathematical analysis -- Periodicals; Functional analysis -- Periodicals; Nonlinear theories -- Periodicals; Analyse mathématique -- Périodiques; Analyse fonctionnelle -- Périodiques; Théories non linéaires -- Périodiques; Functional analysis; Mathematical analysis; Nonlinear theories; Periodicals; Electronic journals; 515.7248
• DOI: 10.1016/j.na.2022.112973
• Languages: English
• ISSNs: 0362-546X

Abstract

Abstract: We consider a fully nonlinear degenerate parabolic system describing the three-dimensional 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.