A REACTION INFILTRATION PROBLEM - CLASSICAL-SOLUTIONS

Authors
CHADAM J CHEN XF GIANNI R RICCI R
Citation
J. Chadam et al., A REACTION INFILTRATION PROBLEM - CLASSICAL-SOLUTIONS, Proceedings of the Edinburgh Mathematical Society, 40, 1997, pp. 275-291
Citations number
11
Categorie Soggetti
Mathematics, General",Mathematics
Journal title
Proceedings of the Edinburgh Mathematical Society → ACNP
ISSN journal
00130915
Volume
40
Year of publication
1997
Part
2
Pages
275 - 291
Database
ISI
SICI code
0013-0915(1997)40:<275:ARIP-C>2.0.ZU;2-F
Abstract
In this paper, we consider a reaction infiltration problem consisting of a parabolic equation for the concentration, an elliptic equation fo r the pressure, and an ordinary differential equation for the porosity . Existence and uniqueness of a global classical solution is proved fo r bounded domains Omega subset of R-N, under suitable boundary conditi ons.