Existence for the thermoviscoelastic thermistor problem

DOI10.1007/s12591-008-0017-zzbMath1178.74033OpenAlexW2089371033MaRDI QIDQ1032046

Kenneth L. jun. Kuttler, Meir Shillor, José R. Fernández

Publication date: 23 October 2009

Published in: Differential Equations and Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12591-008-0017-z

zbMATH Keywords

weak solutionexistencetemperature dependent electrical conductivitythermoviscoelastic thermistor

Mathematics Subject Classification ID

Thermal effects in solid mechanics (74F05) Linear constitutive equations for materials with memory (74D05) Existence of solutions of dynamical problems in solid mechanics (74H20) Regularity of solutions of dynamical problems in solid mechanics (74H30)

Related Items (10)

Finite element convergence for the Joule heating problem with mixed boundary conditions ⋮ Evolutionary Boussinesq model with nonmonotone friction and heat flux boundary conditions ⋮ Dynamic thermoviscoelastic thermistor problem with contact and nonmonotone friction ⋮ Finite element convergence analysis for the thermoviscoelastic Joule heating problem ⋮ Invariance of flows in doubly-connected domains with the same modulus ⋮ A model for resistance welding including phase transitions and Joule heating ⋮ Optimal error estimates of a lowest-order Galerkin-mixed FEM for the thermoviscoelastic Joule heating equations ⋮ Numerical analysis of the quasistatic thermoviscoelastic thermistor problem ⋮ An Indirect Approach to the Existence of Quasi-optimal Controls in Coefficients for Multi-dimensional Thermistor Problem ⋮ Existence of solutions for a model of microwave heating

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