Results 41 to 50 of about 5,400,024 (317)
Convergence of the thresholding scheme for multi-phase mean-curvature flow [PDF]
, 2016 We consider the thresholding scheme, a time discretization for mean curvature flow introduced by Merriman et al. (Diffusion generated motion by mean curvature. Department of Mathematics, University of California, Los Angeles 1992). We prove a convergence
Tim Laux, F. Otto
semanticscholar +1 more source
On approximations of the curve shortening flow and of the mean curvature flow based on the DeTurck trick [PDF]
, 2016 In this paper we discuss novel numerical schemes for the computation of the curve shortening and mean curvature flows that are based on special reparametrizations.
C. M. Elliott, Hans Fritz
semanticscholar +1 more source
On the mean curvature of submanifolds with nullity [PDF]
Annals of Global Analysis and Geometry, 2020 In this paper, we investigate geometric conditions for isometric immersions with positive index of relative nullity to be cylinders. There is an abundance of noncylindrical $n$-dimensional minimal submanifolds with index of relative nullity $n-2$, fully described by Dajczer and Florit \cite{DF2} in terms of a certain class of elliptic surfaces. Opposed
A. E. Kanellopoulou, Th. Vlachos
openaire +3 more sources
Existence and uniqueness for anisotropic and crystalline mean curvature flows [PDF]
Journal of The American Mathematical Society, 2017 An existence and uniqueness result, up to fattening, for crystalline mean curvature flows with forcing and arbitrary (convex) mobilities, is proven. This is achieved by introducing a new notion of solution to the corresponding level set formulation. Such
A. Chambolle +3 more
semanticscholar +1 more source
Width and mean curvature flow [PDF]
Geometry & Topology, 2008 Given a Riemannian metric on a homotopy $n$-sphere, sweep it out by a continuous one-parameter family of closed curves starting and ending at point curves. Pull the sweepout tight by, in a continuous way, pulling each curve as tight as possible yet preserving the sweepout.
Colding, Tobias H +1 more
openaire +4 more sources
Approximation of mean curvature flow with generic singularities by smooth flows with surgery [PDF]
Advances in Mathematics, 2021 J. Daniels-Holgate
semanticscholar +1 more source
Network topology drives population temporal variability in experimental habitat networks
Population Ecology, EarlyView.Habitat patches connected by dispersal pathways form habitat networks. We explored how network topology affects population outcomes in laboratory experiments using a model species (Daphnia carinata). Central habitat nodes in complex lattice networks exhibited lower temporal variability in population sizes, suggesting they support more stable ...
Yiwen Xu +3 more
wiley +1 more source
Making tau amyloid models in vitro: a crucial and underestimated challenge
FEBS Letters, EarlyView.This review highlights the challenges of producing in vitro amyloid assemblies of the tau protein. We review how accurately the existing protocols mimic tau deposits found in the brain of patients affected with tauopathies. We discuss the important properties that should be considered when forming amyloids and the benchmarks that should be used to ...
Julien Broc, Clara Piersson, Yann Fichou
wiley +1 more source
Constant mean curvature spheres in homogeneous three-manifolds [PDF]
Inventiones Mathematicae, 2017 We prove that two spheres of the same constant mean curvature in an arbitrary homogeneous three-manifold only differ by an ambient isometry, and we determine the values of the mean curvature for which such spheres exist.
W. Meeks +3 more
semanticscholar +1 more source
The hyperbolic mean curvature flow
Journal de Mathématiques Pures et Appliquées, 2008 26 ...
Knut Smoczyk, Philippe G. LeFloch
openaire +3 more sources