Crystalline mean curvature flow of convex sets
From MaRDI portal
Publication:811838
DOI10.1007/s00205-005-0387-0zbMath1148.53049OpenAlexW2052087470MaRDI QIDQ811838
Matteo Novaga, Antonin Chambolle, Giovanni Bellettini, Vincent Caselles
Publication date: 23 January 2006
Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00205-005-0387-0
Lua error in Module:PublicationMSCList at line 37: attempt to index local 'msc_result' (a nil value).
Related Items (34)
\(K\)-mean convex and \(K\)-outward minimizing sets ⋮ Generalized crystalline evolutions as limits of flows with smooth anisotropies ⋮ APPROXIMATION OF THE ANISOTROPIC MEAN CURVATURE FLOW ⋮ Minimizing Movements for Mean Curvature Flow of Partitions ⋮ On total variation minimization and surface evolution using parametric maximum flows ⋮ Graphical translators for anisotropic and crystalline mean curvature flow ⋮ Minimizing movements for mean curvature flow of droplets with prescribed contact angle ⋮ Anisotropic and crystalline mean curvature flow of mean-convex sets ⋮ Motion by crystalline-like mean curvature: A survey ⋮ A Nested Variational Time Discretization for Parametric Anisotropic Willmore Flow ⋮ An area minimizing scheme for anisotropic mean curvature flow ⋮ A note on a model system with sudden directional diffusion ⋮ A comparison principle for singular diffusion equations with spatially inhomogeneous driving force for graphs ⋮ An approximation scheme for the anisotropic and nonlocal mean curvature flow ⋮ Periodic total variation flow of non-divergence type in \(\mathbb R^n\) ⋮ A characterization of convex calibrable sets in \(\mathbb R^N\) with respect to anisotropic norms ⋮ Bent rectangles as viscosity solutions over a circle ⋮ Motion of discrete interfaces in low-contrast random environments ⋮ Minimizers of anisotropic perimeters with cylindrical norms ⋮ Very singular diffusion equations: second and fourth order problems ⋮ Uniqueness of the Cheeger set of a convex body ⋮ Mean curvature flow with obstacles ⋮ On the shape of liquid drops and crystals in the small mass regime ⋮ Anisotropic curvature-driven flow of convex sets ⋮ Motion of elastic thin films by anisotropic surface diffusion with curvature regularization ⋮ Total variation and Cheeger sets in Gauss space ⋮ Approximation of maximal Cheeger sets by projection ⋮ Existence and uniqueness for anisotropic and crystalline mean curvature flows ⋮ Fattening and nonfattening phenomena for planar nonlocal curvature flows ⋮ The volume preserving crystalline mean curvature flow of convex sets in \(\mathbb R^N\) ⋮ Minimizing movements for forced anisotropic mean curvature flow of partitions with mobilities ⋮ Anisotropic mean curvature flow of Lipschitz graphs and convergence to self-similar solutions ⋮ Well posedness of sudden directional diffusion equations ⋮ Existence and Uniqueness for a Crystalline Mean Curvature Flow
Cites Work
- The total variation flow in \(\mathbb R^N\)
- Flow by mean curvature of convex surfaces into spheres
- Motion of level sets by mean curvature. I
- Asymptotic behavior for singularities of the mean curvature flow
- Mean curvature evolution of entire graphs
- Pairings between measures and bounded functions and compensated compactness
- The heat equation shrinking convex plane curves
- Motion of level sets by mean curvature. III
- Facet-breaking for three-dimensional crystals evolving by mean curvature
- Shape analysis via oriented distance functions
- Implicit time discretization for the mean curvature flow equation
- Convex viscosity solutions and state constraints
- Convexity estimates for mean curvature flow and singularities of mean convex surfaces
- An algorithm for mean curvature motion
- A notion of total variation depending on a metric with discontinuous coefficients
- Mean curvature flow through singularities for surfaces of rotation
- Flat flow is motion by crystalline curvature for curves with crystalline energies
- Anisotropic curvature-driven flow of convex sets
- Motion of Level Sets by Mean Curvature. II
- Crystalline variational problems
- Curvature-Driven Flows: A Variational Approach
- The nature of singularities in mean curvature flow of mean-convex sets
- A comparison theorem for crystalline evolution in the plane
- On a crystalline variational problem. I: First variation and global \(L^\infty\) regularity
- Characterization of facet breaking for nonsmooth mean curvature flow in the convex case
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
This page was built for publication: Crystalline mean curvature flow of convex sets