Results 71 to 80 of about 5,326,818 (348)
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
Coplanar constant mean curvature surfaces
, 2007 We consider constant mean curvature surfaces of finite topology, properly embedded in three-space in the sense of Alexandrov. Such surfaces with three ends and genus zero were constructed and completely classified by the authors in arXiv:math.DG/0102183.
Grosse-Brauckmann, Karsten +2 more
core +3 more sources
On Curvature Pinching for Submanifolds with Parallel Normalized Mean Curvature Vector
MathematicsIn this note, we investigate the pinching problem for oriented compact submanifolds of dimension n with parallel normalized mean curvature vector in a space form Fn+p(c).
Juanru Gu, Yao Lu
doaj +1 more source
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
On mean curvature flow with forcing [PDF]
Communications in Partial Differential Equations, 2019 This paper investigates geometric properties and well-posedness of a mean curvature flow with volume-dependent forcing. With the class of forcing which bounds the volume of the evolving set away from zero and infinity, we show that a strong version of star-shapedness is preserved over time.
Inwon Kim, Dohyun Kwon
openaire +4 more sources
Graphs with constant mean curvature in the 3-hyperbolic space
Anais da Academia Brasileira de Ciências, 2002 In this work we will deal with disc type surfaces of constant mean curvature in the three dimensional hyperbolic space which are given as graphs of smooth functions over planar domains.
PEDRO A. HINOJOSA
doaj +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
Topological Change in Mean Convex Mean Curvature Flow
, 2013 Consider the mean curvature flow of an (n+1)-dimensional, compact, mean convex region in Euclidean space (or, if ...
A. Hatcher +11 more
core +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