Sufficient conditions for Hadamard well-posedness of a coupled thermo-chemo-poroelastic system

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dc.contributor.authorMalysheva, Tetyana
dc.contributor.authorWhite, Luther W.
dc.date.accessioned2023-05-30T13:40:06Z
dc.date.available2023-05-30T13:40:06Z
dc.date.issued2016-01-08
dc.description.abstractThis article addresses the well-posedness of a coupled parabolic-elliptic system modeling fully coupled thermal, chemical, hydraulic, and mechanical processes in porous formations that impact drilling and borehole stability. The underlying thermo-chemo-poroelastic model is a system of time-dependent parabolic equations describing thermal, solute, and fluid diffusions coupled with Navier-type elliptic equations that attempt to capture the elastic behavior of rock around a borehole. An existence and uniqueness theory for a corresponding initial-boundary value problem is an open problem in the field. We give sufficient conditions for the well-posedness in the sense of Hadamard of a weak solution to a fully coupled parabolic-elliptic initial-boundary value problem describing homogeneous and isotropic media.
dc.description.departmentMathematics
dc.formatText
dc.format.extent17 pages
dc.format.medium1 file (.pdf)
dc.identifier.citationMalysheva, T., & White, L. W. (2016). Sufficient conditions for Hadamard well-posedness of a coupled thermo-chemo-poroelastic system. <i>Electronic Journal of Differential Equations, 2016</i>(15), pp. 1-17.
dc.identifier.issn1072-6691
dc.identifier.urihttps://hdl.handle.net/10877/16887
dc.language.isoen
dc.publisherTexas State University, Department of Mathematics
dc.rightsAttribution 4.0 International
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/
dc.sourceElectronic Journal of Differential Equations, 2016, San Marcos, Texas: Texas State University and University of North Texas.
dc.subjectParabolic-elliptic system
dc.subjectPoroelasticity
dc.subjectThermo-poroelasticity
dc.subjectThermo-chemo-poroelasticity
dc.subjectHadamard well-posedness
dc.titleSufficient conditions for Hadamard well-posedness of a coupled thermo-chemo-poroelastic system
dc.typeArticle

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