Dynamical poroplasticity model with mixed boundary conditions -- theory for \(\mathcal{LM}\)-type nonlinearity

DOI10.1016/j.jmaa.2016.05.013zbMath1343.35071OpenAlexW2412790415MaRDI QIDQ298117

Kamil Kosiba, Konrad Kisiel

Publication date: 20 June 2016

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2016.05.013

zbMATH Keywords

energy methodcoercive approximationinelastic deformation theoryYosida approximation

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Monotone operators and generalizations (47H05) Existence problems for PDEs: global existence, local existence, non-existence (35A01) PDEs in connection with mechanics of deformable solids (35Q74) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) Initial-boundary value problems for systems of nonlinear higher-order PDEs (35G61)

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On strong solutions of viscoplasticity without safe-load conditions ⋮ Prandtl-Reuss dynamical elasto-perfect plasticity without safe-load conditions ⋮ Dynamical poroplasticity model -- existence theory for gradient type nonlinearities with Lipschitz perturbations

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