Results 11 to 20 of about 6,968,776 (158)
Lagrangian mean curvature flow [PDF]
, 2021 Lagrangian mean curvature flow is a powerful tool in modern mathematics with connections to topics in analysis, geometry, topology and mathematical physics.
Lotay, Jason D.
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Mean curvature flow with triple junctions in higher space dimensions [PDF]
, 2012 We consider mean curvature ow of n-dimensional surface clusters. At (
Garcke, Harald +2 more
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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, P, Enders, J, Müller, R
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A model for the behavior of fluid droplets based on mean curvature flow [PDF]
, 2012 The authors of [W. D. Ristenpart et al., Nature, 461 (2009), pp. 377–380] have observed the following remarkable phenomenon during their experiments.
Helmensdorfer, Sebastian
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Hyperbolic inverse mean curvature flow [PDF]
, 2001 summary:We prove the short-time existence of the hyperbolic inverse (mean) curvature flow (with or without the specified forcing term) under the assumption that the initial compact smooth hypersurface of $\mathbb {R}^{n+1}$ ($n\ge 2$) is mean convex and ...
Zhou, Zhe +3 more
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The spinor representation of constant mean curvature one surfaces in the Hyperbolic space [PDF]
, 1970 We review and comment on some aspects of the spinor representation for constant mean curvature one surfaces in hyperbolic space developed by Bobenko-Pavlyukevich-Springborn in [1].
Nicolodi, Lorenzo +4 more
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Mean curvature flow with generic initial data [PDF]
, 2020 We show that the mean curvature flow of generic closed surfaces in $\mathbb{R}^{3}$ avoids asymptotically conical and non-spherical compact singularities. We also show that the mean curvature flow of generic closed low-entropy hypersurfaces in $\mathbb{R}
Mantoulidis, C +3 more
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Harmonic mean curvature flow and geometric inequalities
, 2021 We employ the harmonic mean curvature flow of strictly convex closed hypersurfaces in hyperbolic space to prove Alexandrov-Fenchel type inequalities relating quermassintegrals to the total curvature, which is the integral of Gaussian curvature on the ...
Hu, Yingxiang +2 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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A Comparison Principle for the Mean Curvature Flow Equation with Discontinuous Coefficients
International Journal of Differential Equations, 2016 We study the level set equation in a bounded domain when the velocity of the interface is given by the mean curvature plus a discontinuous velocity. We prove a comparison principle for the initial-boundary value problem whose consequence is uniqueness of
Cecilia De Zan, Pierpaolo Soravia
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