Lecture Notes on Mean Curvature Flow Barriers and Singular Perturbations is popular PDF and ePub book, written by Giovanni Bellettini in 2014-05-13, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, Lecture Notes on Mean Curvature Flow Barriers and Singular Perturbations can be Read Online from any device for your convenience.
Lecture Notes on Mean Curvature Flow Barriers and Singular Perturbations Book PDF Summary
The aim of the book is to study some aspects of geometric evolutions, such as mean curvature flow and anisotropic mean curvature flow of hypersurfaces. We analyze the origin of such flows and their geometric and variational nature. Some of the most important aspects of mean curvature flow are described, such as the comparison principle and its use in the definition of suitable weak solutions. The anisotropic evolutions, which can be considered as a generalization of mean curvature flow, are studied from the view point of Finsler geometry. Concerning singular perturbations, we discuss the convergence of the Allen–Cahn (or Ginsburg–Landau) type equations to (possibly anisotropic) mean curvature flow before the onset of singularities in the limit problem. We study such kinds of asymptotic problems also in the static case, showing convergence to prescribed curvature-type problems.
Detail Book of Lecture Notes on Mean Curvature Flow Barriers and Singular Perturbations PDF
- Author : Giovanni Bellettini
- Release : 13 May 2014
- Publisher : Springer
- ISBN : 9788876424298
- Genre : Mathematics
- Total Page : 336 pages
- Language : English
- PDF File Size : 9,7 Mb
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