The sharp interface limit of the stochastic Allen-Cahn equation
We study the Allen-Cahn equation ut = ϵ2uxx + f(u) + ϵγW with an additive noise term ϵγW for small ϵ > 0, and in particular the limit ϵ → 0. This is a reaction-diffusion equation, where f (∙) is the negative derivative of a symmetric double-well potential. We study this equation in the interval (...
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University of Warwick
2014
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| Online Access: | http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.640986 |