<P>This work is devoted toΒ the motion of surfaces for which the normal velocity at every point is given by the mean curvature at that point; this geometric heat flow process is called mean curvature flow.</P> <P></P> <P>Mean curvature flow and related geometric evolution equations are important tool
Regularity theory for mean curvature flow
β Scribed by Klaus Ecker
- Publisher
- BirkhΓ€user
- Year
- 2004
- Tongue
- English
- Leaves
- 172
- Edition
- 1
- Category
- Library
No coin nor oath required. For personal study only.
β¦ Synopsis
- Devoted to the motion of surfaces for which the normal velocity at every point is given by the mean curvature at that point; this geometric heat flow process is called mean curvature flow. * Mean curvature flow and related geometric evolution equations are important tools in mathematics and mathematical physics. Β
π SIMILAR VOLUMES
<p><P>"The central theme [in this book] is the regularity theory for mean curvature flow leading to a clear simplified proof of Brakke's main regularity theorem for this special case.... [The] author gives a detailed account of techniques for the study of singularities and expresses the underlying i
This monograph considers (singular) surfaces moving by mean curvature, combining tools of geometric measure theory with "viscosity solution" techniques. Employing the geometrically natural concept of "elliptic regularization", Ilmanen establishes the existence of these surfaces. The ground-break
<p>Beginning with a concise introduction to the theory of mean-field games (MFGs), this book presents the key elements of the regularity theory for MFGs. It then introduces a series of techniques for well-posedness in the context of mean-field problems, including stationary and time-dependent MFGs,
'Mean curvature flow' is a term that is used to describe the evolution of a hyper surface whose normal velocity is given by the mean curvature. In the simplest case of a convex closed curve on the plane, the properties of the mean curvature flow are described by Gage-Hamilton's theorem. This theorem