Matches in SemOpenAlex for { <https://semopenalex.org/work/W3215440069> ?p ?o ?g. }
Showing items 1 to 88 of
88
with 100 items per page.
- W3215440069 abstract "We study the rescaled mean curvature flow (MCF) of hypersurfaces that are global graphs over a fixed cylinder of arbitrary dimensions. We construct an explicit stable manifold for the rescaled MCF of finite codimensions in a suitable configuration space. For any initial hypersurface from this stable manifold, we construct a unique global solution to the rescaled MCF, and derive precise asymptotics for these solutions that are valid for all time. Using these asymptotics, we prove asymptotic stability of cylindrical singularities of arbitrary dimensions under generic initial perturbations. As a by-product, for any flow of hypersurfaces evolving according to the MCF that enters this stable manifold at any time and first develops a singularity at a subsequent time, we give a simple proof of the uniqueness of tangent flow, first established by Colding and Minicozzi. Moreover, in this case we show the unique singularity profile is determined by the hypersurface profile when the flow enters the stable manifold. For all results in this paper, there is no symmetry or solitonic assumption." @default.
- W3215440069 created "2021-12-06" @default.
- W3215440069 creator A5043490236 @default.
- W3215440069 date "2021-11-19" @default.
- W3215440069 modified "2023-10-16" @default.
- W3215440069 title "On the Stability of Cylindrical Singularities of the Mean Curvature Flow" @default.
- W3215440069 cites W1506032630 @default.
- W3215440069 cites W1970885754 @default.
- W3215440069 cites W1974894950 @default.
- W3215440069 cites W1978341731 @default.
- W3215440069 cites W1980017519 @default.
- W3215440069 cites W2003442039 @default.
- W3215440069 cites W2010685312 @default.
- W3215440069 cites W2023712662 @default.
- W3215440069 cites W2029677037 @default.
- W3215440069 cites W2082052570 @default.
- W3215440069 cites W2084357913 @default.
- W3215440069 cites W2100481694 @default.
- W3215440069 cites W2248555108 @default.
- W3215440069 cites W2747970043 @default.
- W3215440069 cites W2963321253 @default.
- W3215440069 cites W2963730941 @default.
- W3215440069 cites W2963867225 @default.
- W3215440069 cites W2978316911 @default.
- W3215440069 cites W3099558299 @default.
- W3215440069 cites W3103465570 @default.
- W3215440069 cites W3178846953 @default.
- W3215440069 doi "https://doi.org/10.48550/arxiv.2111.10111" @default.
- W3215440069 hasPublicationYear "2021" @default.
- W3215440069 type Work @default.
- W3215440069 sameAs 3215440069 @default.
- W3215440069 citedByCount "0" @default.
- W3215440069 crossrefType "posted-content" @default.
- W3215440069 hasAuthorship W3215440069A5043490236 @default.
- W3215440069 hasBestOaLocation W32154400691 @default.
- W3215440069 hasConcept C112972136 @default.
- W3215440069 hasConcept C114410712 @default.
- W3215440069 hasConcept C119857082 @default.
- W3215440069 hasConcept C127413603 @default.
- W3215440069 hasConcept C127813850 @default.
- W3215440069 hasConcept C12843 @default.
- W3215440069 hasConcept C134306372 @default.
- W3215440069 hasConcept C16171025 @default.
- W3215440069 hasConcept C175017881 @default.
- W3215440069 hasConcept C195065555 @default.
- W3215440069 hasConcept C202444582 @default.
- W3215440069 hasConcept C2524010 @default.
- W3215440069 hasConcept C2777021972 @default.
- W3215440069 hasConcept C33923547 @default.
- W3215440069 hasConcept C38349280 @default.
- W3215440069 hasConcept C41008148 @default.
- W3215440069 hasConcept C529865628 @default.
- W3215440069 hasConcept C78519656 @default.
- W3215440069 hasConceptScore W3215440069C112972136 @default.
- W3215440069 hasConceptScore W3215440069C114410712 @default.
- W3215440069 hasConceptScore W3215440069C119857082 @default.
- W3215440069 hasConceptScore W3215440069C127413603 @default.
- W3215440069 hasConceptScore W3215440069C127813850 @default.
- W3215440069 hasConceptScore W3215440069C12843 @default.
- W3215440069 hasConceptScore W3215440069C134306372 @default.
- W3215440069 hasConceptScore W3215440069C16171025 @default.
- W3215440069 hasConceptScore W3215440069C175017881 @default.
- W3215440069 hasConceptScore W3215440069C195065555 @default.
- W3215440069 hasConceptScore W3215440069C202444582 @default.
- W3215440069 hasConceptScore W3215440069C2524010 @default.
- W3215440069 hasConceptScore W3215440069C2777021972 @default.
- W3215440069 hasConceptScore W3215440069C33923547 @default.
- W3215440069 hasConceptScore W3215440069C38349280 @default.
- W3215440069 hasConceptScore W3215440069C41008148 @default.
- W3215440069 hasConceptScore W3215440069C529865628 @default.
- W3215440069 hasConceptScore W3215440069C78519656 @default.
- W3215440069 hasLocation W32154400691 @default.
- W3215440069 hasOpenAccess W3215440069 @default.
- W3215440069 hasPrimaryLocation W32154400691 @default.
- W3215440069 hasRelatedWork W1608782439 @default.
- W3215440069 hasRelatedWork W2135289285 @default.
- W3215440069 hasRelatedWork W2147547225 @default.
- W3215440069 hasRelatedWork W2418666022 @default.
- W3215440069 hasRelatedWork W2973121971 @default.
- W3215440069 hasRelatedWork W3103165135 @default.
- W3215440069 hasRelatedWork W3215440069 @default.
- W3215440069 hasRelatedWork W4226525482 @default.
- W3215440069 hasRelatedWork W4300415036 @default.
- W3215440069 hasRelatedWork W4312406328 @default.
- W3215440069 isParatext "false" @default.
- W3215440069 isRetracted "false" @default.
- W3215440069 magId "3215440069" @default.
- W3215440069 workType "article" @default.