Premium
Existence of Global Weak Solutions for Coupled Thermoelasticity under Non‐Linear Boundary Conditions
Author(s) -
Bien Marian
Publication year - 1996
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/(sici)1099-1476(19961110)19:16<1265::aid-mma757>3.0.co;2-l
Subject(s) - mathematics , a priori and a posteriori , generalization , galerkin method , embedding , mathematical analysis , boundary value problem , boundary (topology) , connection (principal bundle) , a priori estimate , gronwall's inequality , inequality , nonlinear system , geometry , epistemology , quantum mechanics , artificial intelligence , computer science , philosophy , physics
The existence of global weak solutions for coupled thermoelasticity with non‐linear contact boundary conditions corresponding to the friction problem is considered. The time‐continuous Galerkin method and a priori estimates obtained with Gronwall's inequality in connection with embedding theorems are applied to accomplish a straightforward generalization of one of the results proved by Martins and Oden 9.