How long does it take for a gas to fill a porous container?

Authors:
Carmen Cortázar and Manuel Elgueta

Journal:
Proc. Amer. Math. Soc. **122** (1994), 449-453

MSC:
Primary 35K65; Secondary 76S05

MathSciNet review:
1232138

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Abstract: Let us consider the problem for for , and for . Here we assume , and . It is well known that solutions to this problem have the property of finite speed propagation of the perturbations. By this we mean that if *z* is an interior point of *D* and exterior to the support of , then there exists a time so that for and for . In this note we give, in an elementary way, an upper bound for for the case of bounded convex domains and in the case of a half space.

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DOI:
http://dx.doi.org/10.1090/S0002-9939-1994-1232138-0

Keywords:
Diffusion,
porous media

Article copyright:
© Copyright 1994
American Mathematical Society