Singularity Formation in Nonlinear Heat and Mean Curvature Flow Equations

In this thesis we study singularity formation in two basic nonlinear equations in $n$ dimensions: nonlinear heat equation (also known as reaction-diffusion equation) and mean curvature flow equation. For the nonlinear heat equation, we show that for an important or natural open set of initial condi...

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Bibliographic Details
Main Author: Kong, Wenbin
Other Authors: Sigal, Israel Michael
Language:en_ca
Published: 2010
Subjects:
Online Access:http://hdl.handle.net/1807/26198