Threshold dynamics type approximation schemes for propagating fronts
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概要
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We study the convergence of general threshold dynamics type approximation schemes to hypersurfaces moving with normal velocity depending on the normal direction and the curvature tensor. We also present results about the asymptotic shape of fronts propagating by threshold dynamics. Our results generalize and extend models introduced in the theories of cellular automaton and motion by mean curvature.
- 社団法人 日本数学会の論文
著者
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Ishii Hitoshi
Department Of Applied Physics Waseda University
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Ishii Hitoshi
Department Of Mathematics Tokyo Metropolitan University
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PIRES Gabriel
Departamento de Matematica Instituto Superior Tecnico
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SOUGANIDIS Panagiotis
Department of Mathematics University of Wisconsin-Madison
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Souganidis Panagiotis
Department Of Mathematics The University Of Chicago
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