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Convergence of a crystalline approximation for an area-preserving motion. (English) Zbl 1052.65082
Area-preserving motion in the plane is approximated by a generalized crystalline motion. The motion is described by a parabolic partial differential equation with non-local term while the crystallization (crystalline motion) is governed by a system of ordinary differential equations. Convergence of the combined system is shown.

MSC:
65M12 Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs
65M06 Finite difference methods for initial value and initial-boundary value problems involving PDEs
34A34 Nonlinear ordinary differential equations and systems, general theory
35K55 Nonlinear parabolic equations
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