Existence of a solution to a non-monotone dynamic model in poroplasticity with mixed boundary conditions
KeywordsPorous media, Biot model, inelastic deformation, Young measure, Yosida approximation, coercive approximation
AbstractIn this note, we investigate a non-monotone and non-coercive dynamic model of poroplasticity with mixed boundary conditions. The existence of the solution to this non-monotone model, where the inelastic constitutive equation is satisfied in the sense of Young measures, is proved using the coercive and monotone approximations.
How to Cite
OWCZAREK, Sebastian. Existence of a solution to a non-monotone dynamic model in poroplasticity with mixed boundary conditions. Topological Methods in Nonlinear Analysis [online]. 12 April 2016, T. 43, nr 2, s. 297–322. [accessed 25.3.2023].
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