Lecture notes on mean curvature flow
From MaRDI portal
Publication:537677
DOI10.1007/978-3-0348-0145-4zbMath1230.53002OpenAlexW16462647MaRDI QIDQ537677
Publication date: 20 May 2011
Published in: Progress in Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/978-3-0348-0145-4
maximum principlesingularityLaplace-Beltrami operatormonotonicity formulaquasi-linear parabolic equationgeometric heat equationmean curvature evolution
Lua error in Module:PublicationMSCList at line 37: attempt to index local 'msc_result' (a nil value).
Related Items (only showing first 100 items - show all)
Weak solutions for a stochastic mean curvature flow of two-dimensional graphs ⋮ Translating solutions for a class of quasilinear parabolic initial boundary value problems in Lorentz–Minkowski plane R12 ⋮ Optimal control of volume-preserving mean curvature flow ⋮ The parametric approach to the Willmore flow ⋮ Nonlinear spectral processing of shapes via zero-homogeneous flows ⋮ Low entropy and the mean curvature flow with surgery ⋮ Self-shrinkers with bounded \(|HA|\) ⋮ Eternal forced mean curvature flows. II: Existence ⋮ Minimizing Movements for Mean Curvature Flow of Partitions ⋮ Gap and rigidity theorems of 𝜆-hypersurfaces ⋮ Bifurcation of perturbations of non-generic closed self-shrinkers ⋮ Bi-Halfspace and Convex Hull Theorems for Translating Solitons ⋮ The Teichmüller space of the Hirsch foliation ⋮ An example of a mean-convex mean curvature flow developing infinitely many singular epochs ⋮ Global existence and stability for the modified Mullins-Sekerka and surface diffusion flow ⋮ Parabolicity, Brownian exit time and properness of solitons of the direct and inverse mean curvature flow ⋮ Existence of martingale solutions and large-time behavior for a stochastic mean curvature flow of graphs ⋮ A general pinching principle for mean curvature flow and applications ⋮ A note on Grayson's theorem ⋮ Existence of mean curvature flow singularities with bounded mean curvature ⋮ Unnamed Item ⋮ On an elastic flow for parametrized curves in \(\mathbb{R}^n\) suitable for numerical purposes ⋮ Short time existence of the classical solution to the fractional mean curvature flow ⋮ On the mean curvature flow of grain boundaries ⋮ A de Sitter no-hair theorem for 3+1d cosmologies with isometry group forming 2-dimensional orbits ⋮ CURVE SHORTENING FLOWS ON ROTATIONAL SURFACES GENERATED BY MONOTONE CONVEX FUNCTIONS ⋮ Local Hölder regularity of minimizers for nonlocal variational problems ⋮ Generation and Motion of Interfaces in a Mass-Conserving Reaction-Diffusion System ⋮ Short time existence for coupling of scaled mean curvature flow and diffusion ⋮ The surface diffusion flow with elasticity in three dimensions ⋮ Mean curvature flow by the Allen–Cahn equation ⋮ On Brakke’s mean curvature flow ⋮ Evolving convex surfaces to constant width ones ⋮ Erratum: Convergence of Dziuk’s Semidiscrete Finite Element Method for Mean Curvature Flow of Closed Surfaces with High-Order Finite Elements ⋮ Qualitative properties for a system coupling scaled mean curvature flow and diffusion ⋮ Local entropy and generic multiplicity one singularities of mean curvature flow of surfaces ⋮ Nonlocal estimates for the volume preserving mean curvature flow and applications ⋮ Mean curvature flow in an extended Ricci flow background ⋮ Weingarten flows in Riemannian manifolds ⋮ A remark on Oka's Lemma and a geometric property of pseudoconvex domains ⋮ Evolution of graphs in hyperbolic space by their Gauss curvature ⋮ The structure of translating surfaces with finite total curvature ⋮ Semilinear Li and Yau inequalities ⋮ Mean Curvature Flow of Mean Convex Hypersurfaces ⋮ Mean curvature flow for generating discrete surfaces with piecewise constant mean curvatures ⋮ Inverse mean curvature flow of rotationally symmetric hypersurfaces ⋮ Isoperimetric properties of the mean curvature flow ⋮ Mean curvature flow with triple junctions in higher space dimensions ⋮ Rigidity results and topology at infinity of translating solitons of the mean curvature flow ⋮ Neckpinch singularities in fractional mean curvature flows ⋮ Entropy and generic mean curvature flow in curved ambient spaces ⋮ Sharp geometric inequalities for closed hypersurfaces in manifolds with nonnegative Ricci curvature ⋮ Type I singularities in the curve shortening flow associated to a density ⋮ A finiteness theorem via the mean curvature flow with surgery ⋮ Asymptotic behavior and stability of mean curvature flow with a conical end ⋮ Variational discretization of axisymmetric curvature flows ⋮ Reconstruction of Surfaces from Point Clouds Using a Lagrangian Surface Evolution Model ⋮ Weighted Alexandrov–Fenchel inequalities in hyperbolic space and a conjecture of Ge, Wang, and Wu ⋮ Non-linear stability of double bubbles under surface diffusion ⋮ Graphical mean curvature flow ⋮ Ancient solutions of superlinear heat equations on Riemannian manifolds ⋮ A volume-preserving anisotropic mean curvature type flow ⋮ On curvature flow with driving force starting as singular initial curve in the plane ⋮ Existence of a solution in the form of a moving front of a reaction-diffusion-advection problem in the case of balanced advection ⋮ On the Morse-Bott property of analytic functions on Banach spaces with Łojasiewicz exponent one half ⋮ Elastic flow of networks: long-time existence result ⋮ The mean curvature flow in Minkowski spaces ⋮ A probabilistic representation for heat flow of harmonic map on manifolds with time-dependent Riemannian metric ⋮ A general regularity theory for weak mean curvature flow ⋮ The Ricci-Bourguignon flow ⋮ Curve shortening flow coupled to lateral diffusion ⋮ Error Analysis for a Finite Difference Scheme for Axisymmetric Mean Curvature Flow of Genus-0 Surfaces ⋮ Stability results for nonlocal geometric evolutions and limit cases for fractional mean curvature flows ⋮ A note on singularities in finite time for the \(L^{2}\) gradient flow of the Helfrich functional ⋮ On a degenerate parabolic system describing the mean curvature flow of rotationally symmetric closed surfaces ⋮ Stochastic block models are a discrete surface tension ⋮ A note on the evolution of the Whitney sphere Along mean curvature flow ⋮ Ancient and eternal solutions to mean curvature flow from minimal surfaces ⋮ Motion by curvature of networks with two triple junctions ⋮ A study of backward stochastic differential equation on a Riemannian manifold ⋮ Anisotropic curvature flow of immersed networks ⋮ Discrete duality finite volume method with tangential redistribution of points for surfaces evolving by mean curvature ⋮ On mean curvature flow with driving force for symmetric motion with singular initial hypersurface ⋮ Curve flows with a global forcing term ⋮ Evolution of the first eigenvalue of the Laplace operator and the \(p\)-Laplace operator under a forced mean curvature flow ⋮ Null hypersurfaces evolved by their mean curvature in a Lorentzian manifold ⋮ Notes on translating solitons for mean curvature flow ⋮ Long time behavior of a quasilinear hyperbolic system modelling elastic membranes ⋮ Soliton solutions to the curve shortening flow on the sphere ⋮ Collapsing ancient solutions of mean curvature flow ⋮ Grain growth and the effect of different time scales ⋮ Minimizing movements for forced anisotropic mean curvature flow of partitions with mobilities ⋮ The extension problem of the mean curvature flow (I) ⋮ A local estimate for the mean curvature flow ⋮ A probabilistic method for gradient estimates of some geometric flows ⋮ Contour parametrization via anisotropic mean curvature flow ⋮ Stability analysis on two thermal insulation problems ⋮ A geometric flow on null hypersurfaces of Lorentzian manifolds ⋮ Existence and regularity of mean curvature flow with transport term in higher dimensions ⋮ Discrete Hyperbolic Curvature Flow in the Plane
This page was built for publication: Lecture notes on mean curvature flow