Results 41 to 50 of about 6,968,776 (158)
Mean Curvature Flow with Boundary [PDF]
, 2021 We develop a theory of surfaces with boundary moving by mean curvature flow. In particular, we prove a general existence theorem by elliptic regularization, and we prove boundary regularity at all positive times under very mild hypotheses.Comment: 43 ...
White, Brian
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Advances in Nonlinear AnalysisBrendle [Sobolev inequalities in manifolds with nonnegative curvature, Comm. Pure Appl. Math. 76 (2022), no. 9, 2192–2218] successfully establishes the sharp Michael–Simon inequality for mean curvature on Riemannian manifolds with nonnegative sectional ...
Cui Jingshi, Zhao Peibiao
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Hyperbolic mean curvature flow
, 2009 In this paper we introduce the hyperbolic mean curvature flow and prove that the corresponding system of partial differential equations is strictly hyperbolic, and based on this, we show that this flow admits a unique short-time smooth solution and ...
He, Chun-Lei, Kong, De-Xing, Liu, Kefeng
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A Convergence Theorem for Mean Curvature Flow of Submanifolds in Complex Projective Spaces
MathematicsMean curvature flow (MCF) is an effective tool for investigating the geometry and topology of submanifolds under suitable curvature pinching conditions.
Qihui Hu, Aoxue Sun, Huijuan Wang
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A geometric flow on null hypersurfaces of Lorentzian manifolds
Topological Algebra and its Applications, 2022 We introduce a geometric flow on a screen integrable null hypersurface in terms of its local second fundamental form. We use it to give an alternative proof to the vorticity free Raychaudhuri’s equation for null hypersurface, as well as establishing ...
Massamba Fortuné, Ssekajja Samuel
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Mean curvature flow without singularities
, 2012 We study graphical mean curvature flow of complete solutions defined on subsets of Euclidean space. We obtain smooth long time existence. The projections of the evolving graphs also solve mean curvature flow.
Sáez, Mariel, Schnürer, Oliver C.
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Analysis of Vaneless Diffuser Stall Instability in a Centrifugal Compressor
International Journal of Turbomachinery, Propulsion and Power, 2017 Numerical simulations based on the large eddy simulation approach were conducted with the aim to explore vaneless diffuser rotating stall instability in a centrifugal compressor.
Elias Sundström +4 more
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ISPRS International Journal of Geo-Information, 2020 This paper proposes a flow-path-network-based (FPN-based) algorithm, constructed from a square-grid digital elevation model (DEM) to improve the simulation of the flow path curvature (C).
Qianjiao Wu +4 more
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On the evolution by fractional mean curvature
, 2019 In this paper we study smooth solutions to a fractional mean curvature flow equation. We establish a comparison principle and consequences such as uniqueness and finite extinction time for compact solutions.
Sáez, Mariel +3 more
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Advances in Nonlinear AnalysisOur purpose is to establish nonexistence results concerning complete noncompact mean curvature flow solitons with polynomial volume growth immersed in certain semi-Riemannian warped products, under mild constraints on the warping and soliton functions ...
Batista Márcio +3 more
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