Evolution of Nonparametric Surfaces with Speed Depending on Curvature Function

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Volume 13, Issue 4

Huizhao Liu , Yan Wang & Guanglie Wang

J. Part. Diff. Eq., 13 (2000), pp. 301-319.

Published online: 2000-11

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Abstract

We investigate the asymptotic behaviour of solution of the initial-boundary value problem for the equation, which describes the evolution of graphs with speed depending on curvature function of current graphs. In contrast with [1-5] and others, in which the speed of flow of graphs is directly proportional to the curvature of graphs, here we discuss is that the speed is inversely proportional to the curvature of graphs, and our methods is different from theirs.

Keywords

Evolution of surface curvature function boundary condition classical solution asymptotic behaviour

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@Article{JPDE-13-301, author = {Huizhao Liu , Yan Wang and Guanglie Wang }, title = {Evolution of Nonparametric Surfaces with Speed Depending on Curvature Function}, journal = {Journal of Partial Differential Equations}, year = {2000}, volume = {13}, number = {4}, pages = {301--319}, abstract = { We investigate the asymptotic behaviour of solution of the initial-boundary value problem for the equation, which describes the evolution of graphs with speed depending on curvature function of current graphs. In contrast with [1-5] and others, in which the speed of flow of graphs is directly proportional to the curvature of graphs, here we discuss is that the speed is inversely proportional to the curvature of graphs, and our methods is different from theirs.}, issn = {2079-732X}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jpde/5516.html} }

TY - JOUR T1 - Evolution of Nonparametric Surfaces with Speed Depending on Curvature Function AU - Huizhao Liu , Yan Wang & Guanglie Wang JO - Journal of Partial Differential Equations VL - 4 SP - 301 EP - 319 PY - 2000 DA - 2000/11 SN - 13 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jpde/5516.html KW - Evolution of surface KW - curvature function KW - boundary condition KW - classical solution KW - asymptotic behaviour AB - We investigate the asymptotic behaviour of solution of the initial-boundary value problem for the equation, which describes the evolution of graphs with speed depending on curvature function of current graphs. In contrast with [1-5] and others, in which the speed of flow of graphs is directly proportional to the curvature of graphs, here we discuss is that the speed is inversely proportional to the curvature of graphs, and our methods is different from theirs.

Huizhao Liu , Yan Wang and Guanglie Wang . (2000). Evolution of Nonparametric Surfaces with Speed Depending on Curvature Function. Journal of Partial Differential Equations. 13 (4). 301-319. doi:

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