Snapshots of non-local constrained mean curvature-type flows
From MaRDI portal
Publication:6120641
DOI10.1007/978-3-031-39916-9_1OpenAlexW4387758208MaRDI QIDQ6120641
Publication date: 25 March 2024
Published in: New Trends in Geometric Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/978-3-031-39916-9_1
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- The area preserving curve shortening flow with Neumann free boundary conditions
- Non-preserved curvature conditions under constrained mean curvature flows
- Interior a priori estimates for solutions of fully nonlinear equations
- Volume preserving mean curvature flow of revolution hypersurfaces between two equidistants
- On a length preserving curve flow
- A non-local area preserving curve flow
- Convex hypersurfaces evolving by volume preserving curvature flows
- Flow by mean curvature of convex surfaces into spheres
- An isoperimetric inequality with applications to curve shortening
- Curve shortening makes convex curves circular
- Asymptotic behavior for singularities of the mean curvature flow
- On a non-local curve evolution problem in the plane
- Volume-preserving flow by powers of the \(m\)th mean curvature
- On a non-local perimeter-preserving curve evolution problem for convex plane curves
- Volume-preserving mean curvature flow of revolution hypersurfaces in a rotationally symmetric space
- The volume-preserving mean curvature flow in Euclidean space
- Deforming convex hypersurfaces by the \(n\)th root of the Gaussian curvature
- Contracting convex hypersurfaces in Riemannian manifolds by their mean curvature
- The heat equation shrinking convex plane curves
- The heat equation shrinks embedded plane curves to round points
- A distance comparison principle for evolving curves
- Total curvatures of convex hypersurfaces in hyperbolic space
- Mean curvature flow singularities for mean convex surfaces
- Volume-preserving mean curvature flow of rotationally symmetric surfaces
- Variational properties of functions of the mean curvatures for hypersurfaces in space forms
- Behaviour of singularities of the rotationally symmetric, volume-preserving mean curvature flow
- Convexity estimates for mean curvature flow and singularities of mean convex surfaces
- Singularities of the area preserving curve shortening flow with a free boundary condition
- Volume preserving flow by powers of symmetric polynomials in the principal curvatures
- Volume-preserving flow by powers of the \(m\text{-th}\) mean curvature in the hyperbolic space
- Convergence of axially symmetric volume-preserving mean curvature flow
- The foliation of asymptotically hyperbolic manifolds by surfaces of constant mean curvature (including the evolution equations and estimates)
- Definition of center of mass for isolated physical systems and unique foliations by stable spheres with constant mean curvature
- Expansion of embedded curves with turning angle greater than \(-\pi\)
- Volume preserving flow and Alexandrov-Fenchel type inequalities in hyperbolic space
- Curve flows with a global forcing term
- Volume preserving mean curvature flow for star-shaped sets
- Evolution of locally convex closed curves in the area-preserving and length-preserving curvature flows
- Volume preserving flow by powers of the \(k\)-th mean curvature
- Area-preserving evolution of nonsimple symmetric plane curves
- Motion by volume preserving mean curvature flow near cylinders
- Isoperimetric type problems and Alexandrov-Fenchel type inequalities in the hyperbolic space
- Surfaces contracting with speed \(| A|^2\)
- Mixed volume preserving curvature flows
- Some dynamic properties of volume preserving curvature driven flows
- Parabolic methods for the construction of spacelike slices of prescribed mean curvature in cosmological spacetimes
- ON A CURVE EXPANDING FLOW WITH A NON-LOCAL TERM
- Hölder estimates for nonlinear degenerate parabolic sytems.
- The volume preserving mean curvature flow.
- The Motion of a Surface by Its Mean Curvature. (MN-20)
- Bonnesen-Style Isoperimetric Inequalities
- The volume preserving mean curvature flow near spheres
- $C^\{2,\alpha \}$ estimate of a parabolic Monge-Ampère equation on $S^\{n\}$
- A numerical scheme for moving boundary problems that are gradient flows for the area functional
- Volume preserving anisotropic mean curvature flow
- Evolution of non-simple closed curves in the area-preserving curvature flow
- Volume preserving mean curvature flow in the hyperbolic space
- Integral geometry and the Gauss-Bonnet theorem in constant curvature spaces
- Self-intersections for the surface diffusion and the volume-preserving mean curvature flow
