ON A CLASS OF NONLOCAL PARABOLIC BOUNDARY-VALUE-PROBLEMS

Authors
LIN Y TAIT RJ
Citation
Y. Lin et Rj. Tait, ON A CLASS OF NONLOCAL PARABOLIC BOUNDARY-VALUE-PROBLEMS, International journal of engineering science, 32(3), 1994, pp. 395-407
Citations number
11
Categorie Soggetti
Engineering
Journal title
International journal of engineering science → ACNP
ISSN journal
00207225
Volume
32
Issue
3
Year of publication
1994
Pages
395 - 407
Database
ISI
SICI code
0020-7225(1994)32:3<395:OACONP>2.0.ZU;2-S
Abstract
In this paper we consider a class of non-linear non-local parabolic eq uations arising from thermoelasticity. The existence, uniqueness and c ontinuous dependence of the solution are demonstrated via an integral transformation of Fredholm type. Applications of the results are given by using several examples. Finally numerical procedures are suggested and computational results are shown by using experimental data from f luid-saturated porous media.