Existence of weak solutions for a PDE system describing phase separation and damage processes including inertial effects

DOI10.3934/dcds.2015.35.2565zbMath1347.35073arXiv1502.05861OpenAlexW2133239619MaRDI QIDQ255632

Christiane Kraus, Christian Heinemann

Publication date: 9 March 2016

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1502.05861

zbMATH Keywords

linear elasticityCahn-Hilliard systemmixed boundary conditionsexistence resultsbounded Lipschitz domainhyperbolic-parabolic systemsdoubly nonlinear differential inclusionsenergetic solutionsrate-dependent systems

Mathematics Subject Classification ID

Variational inequalities (49J40) Nonlinear parabolic equations (35K55) Initial-boundary value problems for second-order hyperbolic equations (35L20) Initial-boundary value problems for higher-order parabolic equations (35K35) Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Theories of fracture and damage (74A45) Phase transitions (general) in equilibrium statistical mechanics (82B26) Weak solutions to PDEs (35D30) Dynamic and nonequilibrium phase transitions (general) in statistical mechanics (82C26) Variational principles of physics (49S05) Quasilinear parabolic equations with (p)-Laplacian (35K92) Second-order hyperbolic systems (35L51) Unilateral problems for nonlinear parabolic equations and variational inequalities with nonlinear parabolic operators (35K86)

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