Global weak solutions to degenerate coupled transport processes in partially saturated deformable elastic-inelastic porous media

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dc.contributor.authorBenes, Michal
dc.date.accessioned2021-09-30T21:52:01Z
dc.date.available2021-09-30T21:52:01Z
dc.date.issued2020-06-19
dc.description.abstractIn this work we prove the existence of global weak solutions to a degenerate and strongly coupled parabolic system arising from the transport processes through partially saturated deformable porous materials. The hygro-thermal model is coupled with quasi-static evolution equations modeling elastic and inelastic mechanical deformations. Physically relevant Newton boundary conditions are considered for water pressure and temperature of the porous system. The traction boundary condition is imposed on the deformable solid skeleton of the porous material. Degeneration occurs in both elliptic and parabolic part of the balance equation for mass of water. The coupling between water pressure, temperature, stress tensor and internal variables occurs in transport coefficients, constitutive functions and the decomposition of the total strain tensor into elastic and plastic parts due to mechanical effect and strain tensor due to thermal expansion.
dc.description.departmentMathematics
dc.formatText
dc.format.extent26 pages
dc.format.medium1 file (.pdf)
dc.identifier.citationBenes, M. (2020). Global weak solutions to degenerate coupled transport processes in partially saturated deformable elastic-inelastic porous media. <i>Electronic Journal of Differential Equations, 2020</i>(63), pp. 1-26.
dc.identifier.issn1072-6691
dc.identifier.urihttps://hdl.handle.net/10877/14570
dc.language.isoen
dc.publisherTexas State University, Department of Mathematics
dc.rightsAttribution 4.0 International
dc.rights.holderThis work is licensed under a Creative Commons Attribution 4.0 International License.
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/
dc.sourceElectronic Journal of Differential Equations, 2020, San Marcos, Texas: Texas State University and University of North Texas.
dc.subjectSecond-order parabolic systems
dc.subjectGlobal solution
dc.subjectPorous media
dc.subjectSmoothness and regularity
dc.subjectCoupled transport processes
dc.subjectElastic-inelastic solids
dc.subjectInternal variables
dc.subjectTraction problem
dc.subjectConstitutive equations
dc.subjectCoercivity
dc.subjectConvexity
dc.titleGlobal weak solutions to degenerate coupled transport processes in partially saturated deformable elastic-inelastic porous media
dc.typeArticle

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