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On Brakke’s mean curvature flow

Sugaku Expositions, 2022
The article represents an excellent exposition of a fascinating, resurgent field of research, by one of the main researchers in the domain. It starts from the basic physical intuition and motivation, proceeds through essential background material, such as the mean curvature flow, as well as crucial definitions and tools from geometric measure theory ...
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Lagrangian mean curvature flow

2021
Snapshots of modern mathematics from Oberwolfach;2021 ...
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Nucleation and mean curvature flow

Communications in Partial Differential Equations, 1998
which is written in terms of the characteristic function of the evolving set. The argument is based on implicit time-discretization, derivation of uniform estimates, and passage to thIn this paper ...
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Graphical Mean Curvature Flow

2021
In this survey article, we discuss recent developments on the mean curvature flow of graphical submanifolds, generated by smooth maps between Riemannian manifolds. We will see interesting applications of this technique, in the understanding of the homotopy type of maps between manifolds.
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