Motion by mean curvature as the singular limit of Ginzburg-Landau dynamics. (English) Zbl 0735.35072
The author studies the motion of the interface between two media (with normal velocity equal to the sum of the principal curvatures) by approximation with a nonlinear parabolic problem. To justify the approximation a compactness theorem is given and exact results on the limit problem are given in the radial case with Dirichlet boundary conditions.
Reviewer: M.Biroli (Monza)
MSC:
| 35K55 | Nonlinear parabolic equations |
| 35B30 | Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs |
Keywords:
mean curvature; Ginzburg-Landau dynamics; motion of the interface; compactness; Dirichlet boundary conditionsReferences:
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