A REACTION INFILTRATION PROBLEM - EXISTENCE, UNIQUENESS, AND REGULARITY OF SOLUTIONS IN 2 SPACE DIMENSIONS

Authors
CHADAM J CHEN XF GIANNI R RICCI R
Citation
J. Chadam et al., A REACTION INFILTRATION PROBLEM - EXISTENCE, UNIQUENESS, AND REGULARITY OF SOLUTIONS IN 2 SPACE DIMENSIONS, Mathematical models and methods in applied sciences, 5(5), 1995, pp. 599-618
Citations number
10
Categorie Soggetti
Mathematical Method, Physical Science",Mathematics
Journal title
Mathematical models and methods in applied sciences → ACNP
ISSN journal
02182025
Volume
5
Issue
5
Year of publication
1995
Pages
599 - 618
Database
ISI
SICI code
0218-2025(1995)5:5<599:ARIP-E>2.0.ZU;2-B
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 . We establish global existence, uniqueness and regularity of the solu tion in a two-dimensional finite strip (-M, M) x (0, 1) and the existe nce and partial regularity of solutions in an infinite strip (-infinit y, infinity) x (0, 1).