Results 41 to 50 of about 5,163 (128)
Solitons of geometric flows and their applications [PDF]
In this thesis we construct solitons of geometric flows with applications in three different settings. The first setting is related to nonuniqueness for geometric heat flows.
Helmensdorfer, Sebastian
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Analytic and geometric problems related to capillary hypersurfaces
This thesis consists of two parts. The first part is devoted to studying the Alexandrov−Fenchel inequalities for capillary hypersurfaces supported on geodesic planes in Euclidean space $ℝⁿ⁺¹$ and hyperbolic space $ℍⁿ⁺¹$.
Mei, Xinqun
core +1 more source
Approximation to driven motion by crystalline curvature in two dimensions
, 2000 We study the approximation of driven motion by crystalline curvature in two dimensions with a reaction-diffusion type differential inclusion. A quasi-optimal O(" 2 j log "j 2 ) and an optimal O(" 2 ) error bound between the original flow and the zero ...
Goglione, R +4 more
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Numerical approximation of anisotropic geometric evolution equations in the plane
, 2007 We present a variational formulation of fully anisotropic motion by surface diffusion and mean curvature flow, as well as related flows. The proposed scheme covers both the closed-curve case and the case of curves that are connected via triple junction ...
Nurnberg, R., Barrett, J. W., Garcke, H.
core +1 more source
Approximation to Driven Motion By Crystalline Curvature in Two Dimensions
, 1998 We study the approximation of driven motion by crystalline curvature in two dimensions with a reaction-diffusion type differential inclusion. A quasi-optimal O(" 2 j log "j 2 ) and an optimal O(" 2 ) error bound between the original ...
G. Bellettini, R. Goglione, M. Novaga
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Assessment of turbulence model performance: Large streamline curvature and integral length scales
, 2015 For the flow over curved surfaces, an extra wall-normal pressure gradient is imposed to the flow through excessive surface pressure, such that the flow turns in alignment with the surface.
Yang, Xiaoyu, Tucker, Paul G.
core +2 more sources
Prescribed mean curvature flow for noncompact hypersurfaces in Lorentz manifolds
Motivated by previous study on mean curvature flow and prescribed mean curvature flow on spatially compact space or asymptotically flat spacetime, in this work we will find sufficient conditions for the short time existence of prescribed mean curvature ...
Tam, Luen-Fai
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Closed mean curvature flows with asymptotically conical singularities
In this paper, we prove that for any asymptotically conical self-shrinker, there exists an embedded closed hypersurface such that the mean curvature flow starting from it develops a singularity modeled on the given shrinker.
Zhao, Xinrui, Lee, Tang-Kai
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The stability of flows in channels with small wall curvature [PDF]
This investigation was initiated with the view of studying the stability of flows in symmetric curved walled channels, by essentially combining Fraenkel's small wall curvature theory, with the multiple scaling (or WKB) method.
Georgiou, G. A.
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, 2015 The course covers two separate but closely related topics. The first topic is the mean curvature flow in the framework of GMT due to Brakke. It is a flow of varifold moving by the generalized mean curvature.
Tonegawa, Yoshihiro +8 more
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