A NONLINEAR PARABOLIC SYSTEM ARISING IN THERMOMECHANICS AND IN THERMOMAGNETISM

DOI10.1142/S021820259200017XzbMath0763.35093OpenAlexW1965971056MaRDI QIDQ4025788

José-Francisco Rodrigues

Publication date: 18 February 1993

Published in: Mathematical Models and Methods in Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s021820259200017x

zbMATH Keywords

Dirichlet boundary conditionsSchauder fixed point theoremthermo-convection of a newtonian fluid

Mathematics Subject Classification ID

Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations (35K60) PDEs in connection with optics and electromagnetic theory (35Q60) Electromagnetic effects in solid mechanics (74F15) Magnetohydrodynamics and electrohydrodynamics (76W05) Applications of functional analysis to differential and integral equations (46N20)

Related Items

On existence, regularity and uniqueness of thermally coupled incompressible flows in a system of three dimensional pipes, Regularity and uniqueness in quasilinear parabolic systems., Optimal control of nonlocal thermistor equations, The Poiseuille solution with temperature dependent viscosity, Existence of a solution for a thermoelectric model with several phase changes and a Carathéodory thermal conductivity, Numerical analysis of a nonlocal parabolic problem resulting from thermistor problem, Numerical simulation of the surface hardening of steel, Error estimates for a non-local thermistor problem, A Finite Element Model for the Time-Dependent Joule Heating Problem, A CLASS OF STATIONARY NONLINEAR MAXWELL SYSTEMS