EXISTENCE OF WEAK SOLUTION FOR VOLUME PRESERVING MEAN CURVATURE FLOW VIA PHASE FIELD METHOD

• Takasao Keisuke

Abstract

We study the phase eld method for the volume preserving mean curvature flow. Given an initial C1 hypersurface we proved the existence of the weak solution for the volume preserving mean curvature ow via the reaction diffusion equation with a nonlocal term. We also show the monotonicity formula and the density upper bound for the reaction diffusion equation.

Journal

• Hokkaido University Preprint Series in Mathematics

  Hokkaido University Preprint Series in Mathematics 1080 1-16, 2015-11-12

  Department of Mathematics, Hokkaido University

Keywords

• 410

Details

• CRID: 1390009224795478528
• NII Article ID: 120006459769
• DOI: 10.14943/84224
• HANDLE: 2115/69884
• Text Lang: en
• Data Source:
  • JaLC
  • IRDB
  • CiNii Articles
• Abstract License Flag: Allowed