Existence for the thermoviscoelastic thermistor problem
From MaRDI portal
Publication:1032046
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
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
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Numerical solutions of the thermistor equations
- Existence of a solution to the Stefan problem with Joule's heating
- The Stefan problem with convection and Joule's heating
- On the existence of bounded temperature in the thermistor problem with degeneracy
- Existence and long time behaviour of solutions to obstacle thermistor equations
- Stationary solutions to the thermistor problem
- Existence for the thermoelastic thermistor problem
- Stability and multiplicity of solutions for the thermistor problem
- A note on the thermistor problem in two space dimensions
- Remark on existence and uniqueness for the thermistor problem under mixed boundary conditions
- $C^\alpha (\bar \Omega )$ Solutions of a Class of Nonlinear Degenerate Elliptic Systems Arising in the Thermistor Problem
- Existence of generalized weak solutions to a model for in situ vitrification
- Various methods to the thermistor problem with a bulk electrical conductivity
- The thermistor problem with conductivity vanishing for large temperature
- The Thermistor Problem: Existence, Smoothness Uniqueness, Blowup
- SET-VALUED PSEUDOMONOTONE MAPS AND DEGENERATE EVOLUTION INCLUSIONS
- A non-local thermistor problem
- Thermal runaway in a non-local problem modelling Ohmic heating: Part I: Model derivation and some special cases
This page was built for publication: Existence for the thermoviscoelastic thermistor problem