Threshold dynamics type approximation schemes for propagating fronts
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- ISHII Hitoshi
- Department of Mathematics Tokyo Metropolitan University
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- PIRES Gabriel E.
- Departamento de Matematica Instituto Superior Tecnico
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- SOUGANIDIS Panagiotis E.
- Department of Mathematics University of Wisconsin-Madison
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Abstract
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.
Journal
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- Journal of the Mathematical Society of Japan
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Journal of the Mathematical Society of Japan 51 (2), 267-308, 1999
The Mathematical Society of Japan
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Details
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- CRID
- 1390282680092800768
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- NII Article ID
- 10002151570
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- NII Book ID
- AA0070177X
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- ISSN
- 18811167
- 18812333
- 00255645
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- MRID
- 1674750
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- NDL BIB ID
- 4712141
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- Text Lang
- en
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- Data Source
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- JaLC
- NDL
- Crossref
- CiNii Articles
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- Abstract License Flag
- Disallowed