Results 51 to 60 of about 6,968,776 (158)

A mean-curvature flow along a Kähler–Ricci flow

, 2018
Let [Formula: see text] be a Kähler surface, and [Formula: see text] an immersed surface in [Formula: see text]. The Kähler angle of [Formula: see text] in [Formula: see text] is introduced by Chern and Wolfson [Am. J. Math. 105 (1983) 59–83].
Liang Zhao, Jiayu Li, Xiaoli Han
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Mean Curvature Flow in de Sitter space [PDF]

, 2023
We study mean convex mean curvature flow $M_s$ of local spacelike graphs in the flat slicing of de Sitter space. We show that if the initial slice is of non-negative time and is graphical over a large enough ball, and if $M_s$ is of bounded mean ...
Hershkovits, Or, Senatore, Leonardo
core   +1 more source

Modelling Free Flow Speed on Two-Lane Rural Highways in Bosnia and Herzegovina

Promet (Zagreb), 2014
Free flow speed is used as a parameter in transportation planning and capacity analysis models, as well as speed-flow diagrams. Many of these models suggest estimating free flow speed according to measurements from similar highways, which is not a ...
Ivan Lovrić, Dražen Cvitanić, Deana Breški   +2 more
doaj   +1 more source

Higher regularity of the inverse mean curvature flow [PDF]

, 2008
We prove higher regularity properties of inverse mean curvature flow in Euclidean space: A sharp lower bound for the mean curvature is derived for star-shaped surfaces, independently of the initial mean curvature.
Huisken, G., Ilmanen, T.
core  

Crystalline mean curvature flow of convex sets

, 2006
We prove a local existence and uniqueness result of crystalline mean curvature flow starting from a compact convex admissible set in IRN. This theorem can handle the facet breaking/bending phenomena, and can be generalized to any anisotropic mean ...
CHAMBOLLE A, NOVAGA, MATTEO, BELLETTINI G, Chambolle, A, Caselles, V, Novaga, M., Bellettini, G, Novaga, M, BELLETTINI, GIOVANNI, CASELLES V, Caselles, V., Chambolle, A.   +11 more
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No mass drop for mean curvature flow of mean convex hypersurfaces [PDF]

, 2008
A possible evolution of a compact hypersurface in Rn+1 by mean curvature past singularities is defined via the level set flow. In the case where the initial hypersurface has positive mean curvature, we show that the Brakke flow associated to the level ...
Schulze, F., Schulze, Felix, Metzger, J., Metzger, Jan   +3 more
core   +1 more source

Uniform Gaussian Bounds for Subelliptic Heat Kernels and an Application to the Total Variation Flow of Graphs over Carnot Groups

Analysis and Geometry in Metric Spaces, 2013
In this paper we study heat kernels associated with a Carnot group G, endowed with a family of collapsing left-invariant Riemannian metrics σε which converge in the Gromov- Hausdorff sense to a sub-Riemannian structure on G as ε→ 0.
Capogna Luca, Citti Giovanna, Manfredini Maria   +2 more
doaj   +1 more source

A Note on Alexandrov Immersed Mean Curvature Flow [PDF]

We demonstrate that the property of being Alexandrov immersed is preserved along mean curvature flow. Furthermore, we demonstrate that mean curvature flow techniques for mean convex embedded flows such as noncollapsing and gradient estimates also hold in
Mäder-Baumdicker, Elena, Lambert, Ben
core   +3 more sources

Spacelike Mean Curvature Flow [PDF]

, 2019
We prove long-time existence and convergence results for spacelike solutions to mean curvature flow in the pseudo-Euclidean space Rn,m, which are entire or defined on bounded domains and satisfying Neumann or Dirichlet boundary conditions.
Lambert, B, Lotay, JD
core   +1 more source

Sharp upper bounds for the capacity in the hyperbolic and Euclidean spaces

Advances in Nonlinear Analysis
We derive various sharp upper bounds for the pp-capacity of a smooth compact set KK in the hyperbolic space Hn{{\mathbb{H}}}^{n} and the Euclidean space Rn{{\mathbb{R}}}^{n}.
Li Haizhong, Li Ruixuan, Xiong Changwei
doaj   +1 more source