Dirr, Nicolas ORCID: https://orcid.org/0000-0003-3634-7367, Luckhaus, Stephan and Novaga, Matteo 2001. A stochastic selection principle in case of fattening for curvature flow. Calculus of Variations and Partial Differential Equations 13 (4) , pp. 405-425. 10.1007/s005260100080 |
Official URL: http://www.springerlink.com/content/5plced7br26t05...
Abstract
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 , in the limit the measure selects two evolving curves, the upper and lower barrier in the sense of De Giorgi. Further we show partial results for nonzero
Item Type: | Article |
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Date Type: | Publication |
Status: | Published |
Schools: | Mathematics |
Subjects: | Q Science > QA Mathematics |
Publisher: | Springer Verlag |
ISSN: | 0944-2669 |
Last Modified: | 18 Oct 2022 13:13 |
URI: | https://orca.cardiff.ac.uk/id/eprint/13067 |
Citation Data
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