Consider two disjoint circles moving by mean curvature plus a forcing term which makes them touch with zero velocity. It is known that the generalized solution in the viscosity sense ceases to be a curve after the touching (the so-called fattening phenomenon). We show that after adding a small stochastic forcing epsilondW, in the limit epsilon --> 0 the measure selects two evolving curves, the upper and lower barrier in the sense of De Giorgi. Further we show partial results for nonzero epsilon.
|Autori interni:||NOVAGA, MATTEO|
|Autori:||Dirr N; Luckhaus S; Novaga M|
|Titolo:||A stochastic selection principle in case of fattening for curvature flow|
|Anno del prodotto:||2001|
|Digital Object Identifier (DOI):||10.1007/s005260100080|
|Appare nelle tipologie:||1.1 Articolo in rivista|