Results 21 to 30 of about 6,968,776 (158)
On Obstacle Problem for Brakke's Mean Curvature Flow [PDF]
, 2021 We consider the obstacle problem of the weak solution to the mean curvature flow, in the sense of Brakke's mean curvature flow. We prove the global existence of the weak solution with obstacles which have C1, 1 boundaries in two and three space ...
Takasao, Keisuke +2 more
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Some Characterizations of Generalized Null Scrolls
Mathematics, 2019 In this work, a family of ruled surfaces named generalized null scrolls in Minkowski 3-space are investigated via the defined structure functions. The relations between the base curve and the ruling flow of the generalized null scroll are revealed.
Jinhua Qian +2 more
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Local Capillary Pressure Estimation Based on Curvature of the Fluid Interface – Validation with Two-Phase Direct Numerical Simulations [PDF]
E3S Web of Conferences, 2020 With the advancement of high-resolution three-dimensional X-ray imaging, it is now possible to directly calculate the curvature of the interface of two phases extracted from segmented CT images during two-phase flow experiments to derive capillary ...
Akai Takashi +2 more
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Mean curvature flow in an extended Ricci flow background [PDF]
, 2023 In this paper, we consider functionals related to mean curvature flow in an ambient space which evolves by an extended Ricci flow from the perspective introduced by Lott when studying a mean curvature flow in a Ricci flow background.
Gomes, José N. V., Hudson, Matheus
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Mean Curvature Type Flow with Perpendicular Neumann Boundary Condition inside a Convex Cone
Abstract and Applied Analysis, 2014 We investigate the evolution of hypersurfaces with perpendicular Neumann boundary condition under mean curvature type flow, where the boundary manifold is a convex cone.
Fangcheng Guo, Guanghan Li, Chuanxi Wu
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Mean-Curvature Flow of Voronoi Diagrams
, 2015 We study the evolution of grain boundary networks by the mean-curvature flow under the restriction that the networks are Voronoi diagrams for a set of points. For such evolution we prove a rigorous universal upper bound on the coarsening rate.
Matt Elsey (5366078) +1 more
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Mean curvature flow with obstacles [PDF]
, 2012 18 pagesWe consider the evolution of fronts by mean curvature in the presence of obstacles. We construct a weak solution to the flow by means of a variational method, corresponding to an implicit time-discretization scheme. Assuming the regularity of the
M. Novaga +8 more
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Mathematical and Computational Applications, 2019 We study a variational problem for hypersurfaces in the Euclidean space with an anisotropic surface energy. An anisotropic surface energy is the integral of an energy density that depends on the surface normal over the considered hypersurface, which was ...
Miyuki Koiso
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Diameter Estimate in Geometric Flows
Mathematics, 2023 We prove the upper and lower bounds of the diameter of a compact manifold (M,g(t)) with dimRM=n(n≥3) and a family of Riemannian metrics g(t) satisfying some geometric flows. Except for Ricci flow, these flows include List–Ricci flow, harmonic-Ricci flow,
Shouwen Fang, Tao Zheng
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Mean Curvature Flow with a Neumann Boundary Condition in Flat Spaces [PDF]
, 2012 In this thesis I study mean curvature flow in both Euclidean and Minkowski space with a Neumann boundary condition. In Minkowski space I show that for a convex timelike cone boundary condition, with compatible spacelike initial data, mean curvature flow
LAMBERT, BENJAMIN,STEPHEN
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