Results 11 to 20 of about 6,607,246 (296)
Hyperbolic mean curvature flow [PDF]
Journal of Differential Equations, 2009 In this paper we introduce the hyperbolic mean curvature flow and prove that the corresponding system of partial differential equations are strictly hyperbolic, and based on this, we show that this flow admits a unique short-time smooth solution and possesses the nonlinear stability defined on the Euclidean space with dimension larger than 4. We derive
He, Chun-Lei, Kong, De-Xing, Liu, Kefeng
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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 study of the turbulent wake of an airfoil in an air stream with a 90° curvature using hot-wire anemometry and large eddy simulation [PDF]
, 2008 This thesis was submitted for the degree of Doctor of Philosophy and awarded by Brunel University.The broad aim of the work presented in this thesis is to investigate the wake of an airfoil under the combined effects of streamwise curvature and pressure ...
Farsimadan, Ehsaan
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Hyperbolic inverse mean curvature flow [PDF]
, 2020 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, Mao, Jing, Wu, Chuan-Xi
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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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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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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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Multi-Reconstruction from Points Cloud by Using a Modified Vector-Valued Allen–Cahn Equation
Mathematics, 2021 The Poisson surface reconstruction algorithm has become a very popular tool of reconstruction from point clouds. If we reconstruct each region separately in the process of multi-reconstruction, then the reconstructed objects may overlap with each other ...
Jin Wang, Zhengyuan Shi
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Communications in Contemporary Mathematics, 2019 The skew mean curvature flow (SMCF), which origins from the study of fluid dynamics, describes the evolution of a codimension two submanifold along its binormal direction. We study the basic properties of the SMCF and prove the existence of a short-time solution to the initial value problem of the SMCF of compact surfaces in Euclidean space [Formula ...
Song, Chong, Sun, Jun
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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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