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Gradient flow reaction/diffusion models in phase transitions

Abstract:

In this article we consider a nonlinear large reaction small diffusion problem which has two (or more) stable states, and we analyse it using two different methods. First method: an approach based on (asymptotic) expansions; and second method: an approach based on the notion of $\Gamma$-convergence. The analysis of such a problem shows that the two methods are complementary. It is well known that, for such a problem, time-dependent solutions are characterised by (moving) layers or vortices....

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Publisher:
World Scientific
Publication date:
2006-03-01
UUID:
uuid:90440e73-d619-4de8-8b64-3acbdaa14e7c
Local pid:
oai:eprints.maths.ox.ac.uk:305
Deposit date:
2011-05-19

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