Results 31 to 40 of about 6,968,776 (158)
Convergence rate of the weighted conformal mean curvature flow
Analysis and Geometry in Metric SpacesIn this article, we study the convergence rate of the following Yamabe-type flow Rϕ(t)m=0inMand∂∂tg(t)=2(hϕ(t)m−Hϕ(t)m)g(t)∂∂tϕ(t)=m(Hϕ(t)m−hϕ(t)m)on∂M{R}_{\phi \left(t)}^{m}=0\hspace{0.33em}\hspace{0.1em}\text{in}\hspace{0.1em}\hspace{0.33em}M\hspace ...
Hamanaka Shota, Tung Ho Pak
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Maximal Graphs and Spacelike Mean Curvature Flows in Semi-Euclidean Spaces [PDF]
, 2011 Two main results are proved. The first is for the maximal graph system in semi-Euclidean spaces. Existence of smooth solutions to the Dirichlet problem is proved, under certain assumptions on the boundary data.
THORPE, BENJAMIN,STUART +1 more
core
Diffuse-interface approximation and weak–strong uniqueness of anisotropic mean curvature flow
European Journal of Applied MathematicsThe purpose of this paper is to derive anisotropic mean curvature flow as the limit of the anisotropic Allen–Cahn equation. We rely on distributional solution concepts for both the diffuse and sharp interface models and prove convergence using relative ...
Tim Laux +2 more
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PLoS ONE, 2015 PurposeFlow diverters (FD) are increasingly being considered for treating large or giant wide-neck aneurysms. Clinical outcome is highly variable and depends on the type of aneurysm, the flow diverting device and treatment strategies.
Jinyu Xu +7 more
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α-Mean curvature flow of non-compact complete convex hypersurfaces and the evolution of level sets
Advances in Nonlinear AnalysisWe consider the α\alpha -mean curvature flow for convex graphs in Euclidean space. Given a smooth, complete, strictly convex, non-compact initial hypersurface over a strictly convex projected domain, we derive uniform curvature bounds, which are ...
Kang Hyunsuk, Lee Ki-Ahm, Lee Taehun
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Secondary Flow near an Undulatory Surface Induced by Wall Blocking Effect
Journal of Fluid Science and Technology, 2007 Secondary mean motions of Prandtl's second kind near an undulatory surface are explained in terms of the turbulent blocking effect and kinematic boundary conditions at the surface, and the order of magnitude is estimated. The isotropic turbulence is
Kouji NAGATA +2 more
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Graphical mean curvature flow with bounded bi-Ricci curvature [PDF]
, 2022 We consider the graphical mean curvature flow of strictly area decreasing maps $f:M\to N$, where $M$ is a compact Riemannian manifold of dimension $m>1$ and $N$ a complete Riemannian surface of bounded geometry.
Assimos, Renan +2 more
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Open Mathematics, 2020 In this paper, we discuss the monotonicity of the first nonzero eigenvalue of the Laplace operator and the p-Laplace operator under a forced mean curvature flow (MCF).
Qi Xuesen, Liu Ximin
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Low entropy and the mean curvature flow with surgery
, 2021 In this article, we extend the mean curvature flow with surgery to mean convex hypersurfaces with entropy less than..
Mramor, A +3 more
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Journal of Numerical Analysis and Approximation TheoryMany models that use non-linear partial differential equations (PDEs) have been extensively applied for different tasks in image processing. Among these PDE-based approaches, the mean curvature flow filtering has impressive results, for which feature ...
Rafaa Chouder, Noureddine Benhamidouche
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