Results 31 to 40 of about 133,968 (310)
A varifold formulation of mean curvature flow with Dirichlet or dynamic boundary conditions [PDF]
, 2018 We consider the sharp interface limit of the Allen-Cahn equation with Dirichlet or dynamic boundary conditions and give a varifold characterization of its limit which is formally a mean curvature flow with Dirichlet or dynamic boundary conditions.
Takasao, Keisuke +4 more
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Backward uniqueness for the inverse mean curvature flow
, 2023 In this paper, we prove a backward uniqueness theorem for solutions to the inverse mean curvature flow on a closed manifold. As a consequence, the isometry group of a solution cannot expand within the lifetime of the solution ...
Ho, Pak-tung
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Bernstein-type theorems in hypersurfaces with constant mean curvature
Anais da Academia Brasileira de Ciências, 2000 By using the nodal domains of some natural function arising in the study of hypersurfaces with constant mean curvature we obtain some Bernstein-type theorems.
MANFREDO P. DO CARMO, DETANG ZHOU
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Gyroids of Constant Mean Curvature [PDF]
Experimental Mathematics, 1997 We use Brakke's Surface Evolver to deform a triply periodic minimal surface, the gyroid, into a continuous family of constant mean curvature surfaces with the same symmetry. We discuss stability and bifurcation problems for these surfaces.
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On Type-I singularities in Ricci flow [PDF]
, 2011 07.02.13 KB. Accepted version ok to add to Spiral. IP/Sherpa.We define several notions of singular set for Type I Ricci flows and show that they all coincide.
Topping, Peter +5 more
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On the Minimization of Total Mean Curvature [PDF]
The Journal of Geometric Analysis, 2015 In this paper we are interested in possible extensions of an inequality due to Minkowski: $\int_{\partialΩ} H\,dA \geq \sqrt{4πA(\partialΩ)}$ valid for any regular open set $Ω\subset\mathbb{R}^3$, where $H$ denotes the scalar mean curvature and $A$ the area.
Dalphin, Jeremy +3 more
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Forced anisotropic mean curvature flow of graphs in relative geometry [PDF]
, 2014 summary:The paper is concerned with the graph formulation of forced anisotropic mean curvature flow in the context of the heteroepitaxial growth of quantum dots. The problem is generalized by including anisotropy by means of Finsler metrics.
Beneš, Michal, Hoang, Dieu Hung
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Gaussian mean curvature flow [PDF]
Journal of Evolution Equations, 2010 10 ...
Borisenko, Alexander A., Miquel, Vicente
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Offset Ruled Surface in Euclidean Space with Density
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2021 In this paper, offset ruled surfaces in these spaces are defined by using the geometry of ruled surfaces in Euclidean space with density. The mean curvature and Gaussian curvature of these surfaces are studied.
Ulucan Neslihan, Akyigit Mahmut
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Mean curvature flow with triple junctions in higher space dimensions
, 2012 We consider mean curvature ow of n-dimensional surface clusters. At (
Garcke, Harald +2 more
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