On obstacle problem for mean curvature flow with driving force

DOI10.1515/geofl-2019-0002zbMath1442.35197arXiv1810.03456OpenAlexW2947412165WikidataQ127765309 ScholiaQ127765309MaRDI QIDQ2178921

Hung V. Tran, Yoshikazu Giga, Long-jie Zhang

Publication date: 11 May 2020

Published in: Geometric Flows (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1810.03456

zbMATH Keywords

mean curvature flowobstacle problemlarge time behaviordriving forcelimiting profilesradially symmetric setting

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) Quasilinear parabolic equations with mean curvature operator (35K93) Flows related to mean curvature (53E10)

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Remarks on the generalized Cauchy-Dirichlet problem for graph mean curvature flow with driving force, Quantitative Alexandrov theorem and asymptotic behavior of the volume preserving mean curvature flow, Remarks on large time behavior of level-set mean curvature flow equations with driving and source terms, Stationary sets and asymptotic behavior of the mean curvature flow with forcing in the plane, On Obstacle Problem for Brakke's Mean Curvature Flow, Level-set forced mean curvature flow with the Neumann boundary condition

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