Volume-Preserving Anisotropic Mean Curvature Flow

By Ben Andrews. 2001

129 citations recorded by the source corpus.

Subfields: Computational Mechanics, Computer Graphics and Computer-Aided Design

View Paper: https://www.semanticscholar.org/paper/e33de92c7ca76e002fc9952973aee2f6f1f3608b

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Computational Mechanics

1. V. Caselles
2. Matteo Novaga
3. Giovanni Bellettini
4. Nunzia Gavitone
5. Vicente F. Miquel Molina
6. Antonin Chambolle
7. Francesco Pietra
8. E. Rivas

In Computer Graphics and Computer-Aided Design

1. Nunzia Gavitone
2. Vicente F. Miquel Molina
3. Antonin Chambolle
4. Matteo Novaga
5. Giovanni Bellettini
6. Francesco Pietra
7. E. Rivas
8. James A. McCoy

Citations in the corpus

• Sharp bounds for the first eigenvalue and the torsional rigidity related to some anisotropic operators (2012, background): “Moreover, for δ > 0, the following Steiner formulas hold ([2], [32]): |K + δW| = |K | + PH (K )δ + ( n 2 ) W H 2 (K )δ 2 + · · · + ( n p ) W H p (K )δ p + · · · + κnδ, and PH (K + δW) = PH (K ) + n(n − 1)W H 2 (K )δ + · · · + n ( n − 1 p ) W H p+1(K )δ p + · · · + nκnδn−1.”
• Volume preserving mean curvature flow in the hyperbolic space (2007, methodology): “About the techniques applied for proving Theorem 1, as in [18], we use essentially maximum principles, employing also ideas used by B. Andrews ([ 2 ]) and J. McCoy ([19]) for similar theorems in the Minkowski (normed) and Euclidean spaces, respectively.”
• The volume preserving crystalline mean curvature flow of convex sets in R^N (2009, methodology): “More recently, Andrews [5] extended this result to the smooth anisotropic mean curvature flow.”
• Mixed volume preserving curvature flows (2005, background): “Theorem 3.1 ([Ge2, A3 ]) Let f be a C 2 symmetric function defined on a symmetric region Ω in R n . Let ˜”
• Volume preserving mean curvature flow in the Hyperbolic space (2006, unknown): “D G ]”
• Global solutions to the volume-preserving mean-curvature flow (2015, background): “Several solutions to volume-preserving mean-curvature flow have been proposed in the literature: existence and uniqueness of a global in time smooth solution and its convergence to a sphere is shown in [13, 18] for smooth convex initial data and in [11, 20] for initial data close to a sphere (for fu”