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A reaction infiltration problem: classical solutions

Published online by Cambridge University Press:  20 January 2009

John Chadam ,
Xinfu Chen ,
Roberto Gianni  and
Riccardo Ricci
John Chadam
Affiliation:
Fields Institute for Research in the Mathematical Sciences, 185 Columbia Street, Waterloo, Ontario N2L 5Z5, Canada
Xinfu Chen
Affiliation:
Department of Mathematics, University of Pittsburgh, Pittsburgh, Pennsylvania 15260, U.S.A.
Roberto Gianni
Affiliation:
Dipartimento di Matematica, Universita di Firenze, Florence, Italy
Riccardo Ricci
Affiliation:
Dipartimento di Matematica, Universita di Milano, Milan, Italy
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Abstract

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In this paper, we consider a reaction infiltration problem consisting of a parabolic equation for the concentration, an elliptic equation for the pressure, and an ordinary differential equation for the porosity. Existence and uniqueness of a global classical solution is proved for bounded domains Ω⊂RN, under suitable boundary conditions.

Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 40 , Issue 2 , June 1997 , pp. 275 - 291
Copyright
Copyright © Edinburgh Mathematical Society 1997

References

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