Asymptotic Behavior of Attractors for Inhomogeneous Allen-cahn Equations
نویسندگان
چکیده
We consider front propagation problems for forced mean curvature flows with a transport term and their phase field variants that take place in stratified media, i.e., heterogeneous media whose characteristics do not vary in one direction. We provide a convergence result relating asymptotic in time front propagation in the diffuse interface case to that in the sharp interface case, for suitably balanced nonlinearities of Allen-Cahn type. Our results generalize previous results for forced Allen-Cahn equations.
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