Stability of self-similar solutions to geometric flows
From MaRDI portal
Publication:6166033
DOI10.4171/ifb/488zbMath1525.53091arXiv2108.13538OpenAlexW4381568925MaRDI QIDQ6166033
Publication date: 2 August 2023
Published in: Interfaces and Free Boundaries (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2108.13538
Initial value problems for higher-order parabolic equations (35K30) Quasilinear parabolic equations with mean curvature operator (35K93) Flows related to mean curvature (53E10)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Generic mean curvature flow. I: Generic singularities
- Geometric flows with rough initial data
- Mean curvature flow of contractions between Euclidean spaces
- Asymptotics for a class of non-linear evolution equations, with applications to geometric problems
- Asymptotic behavior for singularities of the mean curvature flow
- Mean curvature evolution of entire graphs
- Interior estimates for hypersurfaces moving by mean curvature
- Willmore blowups are never compact
- Long-time existence and convergence of graphic mean curvature flow in arbitrary codimension.
- Evolution of area-decreasing maps between two-dimensional Euclidean spaces
- The Willmore flow near spheres.
- Graphical mean curvature flow
- On self-similar solutions to the surface diffusion flow equations with contact angle boundary conditions
- Evolution of contractions by mean curvature flow
- Stability of mean convex cones under mean curvature flow
- Homotopy of area decreasing maps by mean curvature flow
- Curvature decay estimates of graphical mean curvature flow in higher codimensions
- Mean Curvature Flow in Higher Codimension: Introduction and Survey
- Well-posedness for the heat flow of polyharmonic maps with rough initial data
- Evolution D'une Interface par diffusion de surface
- Lectures on mean curvature flows in higher codimensions
- A Remark on the Blowing-Up of Solutions to the Cauchy Problem for Nonlinear Schrodinger Equations
- The Surface Diffusion Flow for Immersed Hypersurfaces
- The volume preserving mean curvature flow near spheres
- Renormalization group and asymptotics of solutions of nonlinear parabolic equations
- Selfsimilar solutions to the mean curvature flow
- The Dirichlet problem for the minimal surface system in arbitrary dimensions and codimensions
- Mean curvature flows and isotopy of maps between spheres
- Anisotropic mean curvature flow of Lipschitz graphs and convergence to self-similar solutions
- Harmonic Mappings of Riemannian Manifolds
- Well-posedness for the Navier-Stokes equations
- Losing a graph with surface diffusion
