Global existence of a weak solution to unsaturated poroelasticity
DOI10.1051/M2AN/2021063zbMath1509.35210arXiv1909.06679MaRDI QIDQ6325310
Iuliu Sorin Pop, Ivan Yotov, Jakub Wiktor Both
Publication date: 14 September 2019
Variational inequalities (49J40) Smoothness and regularity of solutions to PDEs (35B65) PDEs in connection with fluid mechanics (35Q35) Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) (74F10) Finite element methods applied to problems in solid mechanics (74S05) Flows in porous media; filtration; seepage (76S05) Finite difference methods applied to problems in fluid mechanics (76M20) Soil and rock mechanics (74L10) Finite volume methods applied to problems in fluid mechanics (76M12) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite difference methods applied to problems in solid mechanics (74S20) Finite element methods applied to problems in fluid mechanics (76M10) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Weak solutions to PDEs (35D30) PDEs in connection with mechanics of deformable solids (35Q74) Finite volume methods applied to problems in solid mechanics (74S10) Nonlinear initial, boundary and initial-boundary value problems for nonlinear parabolic equations (35K61) Finite volume methods for boundary value problems involving PDEs (65N08)
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