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A class of anisotropic expanding curvature flows
- Source :
- Discrete & Continuous Dynamical Systems - A. 40:2017-2035
- Publication Year :
- 2020
- Publisher :
- American Institute of Mathematical Sciences (AIMS), 2020.
-
Abstract
- We consider an expanding flow of smooth, closed, uniformly convex hypersurfaces in (n+1)-dimensional Euclidean space with speed fu^{alpha}{sigma}_k^{beta}, where u is the support function of the hypersurface, alpha, beta are two constants, and beta>0, sigma_k is the k-th symmetric polynomial of the principle curvature radii of the hypersurface, k is an integer and 1= k+1 where p=2-alpha, which is identify with Ivaki's recent result.<br />23 pages. arXiv admin note: text overlap with arXiv:1905.04679
- Subjects :
- Mathematics - Differential Geometry
Euclidean space
Applied Mathematics
53C44 (primary), 35K96 (secondary)
Regular polygon
Sigma
Support function
Curvature
Mathematics - Analysis of PDEs
Hypersurface
Differential Geometry (math.DG)
Symmetric polynomial
FOS: Mathematics
Discrete Mathematics and Combinatorics
Beta (velocity)
Mathematics::Differential Geometry
Analysis
Analysis of PDEs (math.AP)
Mathematics
Mathematical physics
Subjects
Details
- ISSN :
- 15535231
- Volume :
- 40
- Database :
- OpenAIRE
- Journal :
- Discrete & Continuous Dynamical Systems - A
- Accession number :
- edsair.doi.dedup.....44aab80af55d75f4d768c5d568fee065