Evolution of hypersurfaces by powers of mean curvature minus an external force field

DOI10.1007/s11464-012-0218-1zbMath1254.35125OpenAlexW2087876729MaRDI QIDQ1758134

Yan Nan Liu

Publication date: 7 November 2012

Published in: Frontiers of Mathematics in China (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11464-012-0218-1

zbMATH Keywords

maximum principle for tensorpinch inequality

Mathematics Subject Classification ID

Surfaces in Euclidean and related spaces (53A05) Initial value problems for second-order parabolic systems (35K45) Quasilinear parabolic equations (35K59)

Cites Work

• The vortex dynamics of a Ginzburg-Landau system under pinning effect
• Ginzburg-Landau vortex and mean curvature flow with external force field
• Long-time existence of mean curvature flow with external force fields
• Evolution of noncompact hypersurfaces by mean curvature minus a kind of external force field
• Three-manifolds with positive Ricci curvature
• Evolution of hypersurfaces by the mean curvature minus an external force field
• Evolution of convex hypersurfaces by powers of the mean curvature
• Evolution of Spacelike Hypersurfaces by Mean Curvature Minus External Force Field in Minkowski Space