Existence and long time behaviour of solutions to obstacle thermistor equations

DOI10.3934/DCDS.2002.8.757zbMath1062.35187OpenAlexW2084349952MaRDI QIDQ1599892

Walter Allegretto, Yan Ping Lin, Shu Qing Ma

Publication date: 2002

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

Full work available at URL: https://doi.org/10.3934/dcds.2002.8.757

zbMATH Keywords

global attractorexistence of weak solutionsabsorbing setobstacle problempenalized methodcapacity solutionstime dependent casesteady state case

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Partial differential inequalities and systems of partial differential inequalities (35R45)

Related Items (16)

New superconvergence estimates of FEM for time-dependent Joule heating problem ⋮ The thermistor obstacle problem with periodic data ⋮ Dynamic thermoviscoelastic thermistor problem with contact and nonmonotone friction ⋮ Capacity solution for a perturbed nonlinear coupled system ⋮ Superconvergence analysis of finite element method for time-fractional thermistor problem ⋮ Unconditionally superconvergent error estimates of a linearized Galerkin finite element method for the nonlinear thermistor problem ⋮ Superconvergent estimates of conforming finite element method for nonlinear time‐dependent Joule heating equations ⋮ Optimal error analysis of Galerkin FEMs for nonlinear Joule heating equations ⋮ Stability and convergence of fully discrete Galerkin FEMs for the nonlinear thermistor equations in a nonconvex polygon ⋮ Superconvergence analysis of nonconforming FEM for nonlinear time-dependent thermistor problem ⋮ Existence of capacity solution for a perturbed nonlinear coupled system ⋮ Existence for the thermoviscoelastic thermistor problem ⋮ Optimal error estimates of a lowest-order Galerkin-mixed FEM for the thermoviscoelastic Joule heating equations ⋮ Numerical analysis of the quasistatic thermoviscoelastic thermistor problem ⋮ Regularity Results for a Nonlinear Elliptic-Parabolic System with Oscillating Coefficients ⋮ Unconditional optimal error estimates of BDF-Galerkin FEMs for nonlinear thermistor equations

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