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Numerical study and examples on singularities of solutions to anisotropic crystalline curvature flows of nonconvex polygonal curves. (English) Zbl 1143.35308
Kozono, Hideo (ed.) et al., Asymptotic analysis and singularities. Elliptic and parabolic PDEs and related problems. Papers of the 14th International Research Institute of the Mathematical Society of Japan (MSJ), Sendai, Japan, July, 18–27, 2005. Tokyo: Mathematical Society of Japan (ISBN 978-4-931469-41-9/hbk). Advanced Studies in Pure Mathematics 47-2, 543-563 (2007).
The authors develop a complete numerical study and examples on singularities for anisotropic crystalline curvature flows of non-convex polygonal curves. The method is presented with a number of examples and illustration and finally experiments are performed for illustration.
For the entire collection see [Zbl 1130.35004].

MSC:
35A35 Theoretical approximation in context of PDEs
35R60 PDEs with randomness, stochastic partial differential equations
35A20 Analyticity in context of PDEs
53C44 Geometric evolution equations (mean curvature flow, Ricci flow, etc.) (MSC2010)
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