Stability of solutions of nonlinear parabolic equations for harmonic mean curvature flows

Koichi Anada; Masayoshi Tsutsumi

doi:10.1016/S0362-546X(01)00832-X

Stability of solutions of nonlinear parabolic equations for harmonic mean curvature flows

Koichi Anada^*, Masayoshi Tsutsumi

^*Corresponding author for this work

Waseda University Senior High School

Research output: Contribution to journal › Article › peer-review

Abstract

The stability of solutions of nonlinear parabolic equations for harmonic mean curvature flows was presented. The study of contractions of strictly convex surfaces evolving along the inner normal rate at a rate equal to their harmonic mean curvature to the power of 1/β was also presented. The asymptotic behavior of evolving surfaces was also studied. Results implied that the problem had various evolving patterns which were not spherical.

Original language	English
Pages (from-to)	305-319
Number of pages	15
Journal	Nonlinear Analysis, Theory, Methods and Applications
Volume	51
Issue number	2
DOIs	https://doi.org/10.1016/S0362-546X(01)00832-X
Publication status	Published - 2002 Oct

Keywords

Bifurcation
Harmonic mean curvature
Self similar solutions
Stability

ASJC Scopus subject areas

Analysis
Applied Mathematics

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10.1016/S0362-546X(01)00832-X

Cite this

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title = "Stability of solutions of nonlinear parabolic equations for harmonic mean curvature flows",

abstract = "The stability of solutions of nonlinear parabolic equations for harmonic mean curvature flows was presented. The study of contractions of strictly convex surfaces evolving along the inner normal rate at a rate equal to their harmonic mean curvature to the power of 1/β was also presented. The asymptotic behavior of evolving surfaces was also studied. Results implied that the problem had various evolving patterns which were not spherical.",

keywords = "Bifurcation, Harmonic mean curvature, Self similar solutions, Stability",

author = "Koichi Anada and Masayoshi Tsutsumi",

year = "2002",

month = oct,

doi = "10.1016/S0362-546X(01)00832-X",

language = "English",

volume = "51",

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journal = "Nonlinear Analysis, Theory, Methods and Applications",

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T1 - Stability of solutions of nonlinear parabolic equations for harmonic mean curvature flows

AU - Anada, Koichi

AU - Tsutsumi, Masayoshi

PY - 2002/10

Y1 - 2002/10

N2 - The stability of solutions of nonlinear parabolic equations for harmonic mean curvature flows was presented. The study of contractions of strictly convex surfaces evolving along the inner normal rate at a rate equal to their harmonic mean curvature to the power of 1/β was also presented. The asymptotic behavior of evolving surfaces was also studied. Results implied that the problem had various evolving patterns which were not spherical.

AB - The stability of solutions of nonlinear parabolic equations for harmonic mean curvature flows was presented. The study of contractions of strictly convex surfaces evolving along the inner normal rate at a rate equal to their harmonic mean curvature to the power of 1/β was also presented. The asymptotic behavior of evolving surfaces was also studied. Results implied that the problem had various evolving patterns which were not spherical.

KW - Bifurcation

KW - Harmonic mean curvature

KW - Self similar solutions

KW - Stability

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U2 - 10.1016/S0362-546X(01)00832-X

DO - 10.1016/S0362-546X(01)00832-X

M3 - Article

AN - SCOPUS:0036778783

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VL - 51

SP - 305

EP - 319

JO - Nonlinear Analysis, Theory, Methods and Applications

JF - Nonlinear Analysis, Theory, Methods and Applications

IS - 2

ER -

Stability of solutions of nonlinear parabolic equations for harmonic mean curvature flows

Abstract

Keywords

ASJC Scopus subject areas

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