Variational inequalities for a system of elliptic-parabolic equations

DOI10.1016/j.jmaa.2011.09.008zbMath1298.49032OpenAlexW2089927930MaRDI QIDQ655452

Juan-Miguel Gracia

Publication date: 4 January 2012

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.2011.09.008

zbMATH Keywords

solvabilitynonlinear evolution equationselliptic-parabolic variational inequalitiesthe system for models of flows in porous media

Mathematics Subject Classification ID

Optimality conditions for problems involving partial differential equations (49K20) Unilateral problems for nonlinear elliptic equations and variational inequalities with nonlinear elliptic operators (35J87) Initial-boundary value problems for mixed-type systems of PDEs (35M33) Unilateral problems for nonlinear parabolic equations and variational inequalities with nonlinear parabolic operators (35K86)

Related Items (6)

Study of weak solutions for degenerate parabolic inequalities with nonstandard conditions ⋮ Quasi-variational analysis ⋮ Global strong solutions to abstract quasi-variational evolution equations ⋮ Global attractor and omega-limit sets structure for a phase-field model of thermal alloys ⋮ Systems of semilinear parabolic variational inequalities with time-dependent convex obstacles ⋮ Quasi‐subdifferential operator approach to elliptic variational and quasi‐variational inequalities

Cites Work

• A system of evolution equations for non-isothermal phase transitions
• Quasilinear elliptic-parabolic differential equations
• A parabolic-elliptic variational inequality
• Some nonlinear parabolic variational inequalities
• Flow of oil and water in a porous medium
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• Convergence of convex sets and of solutions of variational inequalities
• Attractors for a three-dimensional thermo-mechanical model of shape memory alloys
• Parabolic-elliptic free boundary problems with time-dependent obstacles
• A class of nonlinear elliptic—parabolic equations with time-dependent constraints
• BOUNDARY VALUE PROBLEMS FOR SYSTEMS OF EQUATIONS OF TWO-PHASE POROUS FLOW TYPE; STATEMENT OF THE PROBLEMS, QUESTIONS OF SOLVABILITY, JUSTIFICATION OF APPROXIMATE METHODS
• A nonlinear evolution problem describing multi-component phase changes with dissipation
• Evolution systems of nonlinear variational inequalities arising from phase change problems
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