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On the Singular Limit for a Cass of Problems Modelling Phase Transitions

โœ Scribed by Alikakos, Nicholas D.; Shaing, K. C.


Book ID
118202288
Publisher
Society for Industrial and Applied Mathematics
Year
1987
Tongue
English
Weight
757 KB
Volume
18
Category
Article
ISSN
0036-1410

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We consider the di!usion limit of a model transport equation on the torus or the whole space, as a scaling parameter (the mean free path), tends to zero. We show that, for arbitrary initial data u (x, v), the solution converges in norm topology for each t'0, to the solution of a di!usion equation wi