A curve shortening equation with time-dependent mobility related to grain boundary motions

• Mizuno, Masashi

• Takasao, Keisuke

Abstract

A curve shortening equation related to the evolution of grain boundaries is presented. This equation is derived from the grain boundary energy by applying the maximum dissipation principle. Gradient estimates and large time asymptotic behavior of solutions are considered. In the proof of these results, one key ingredient is a new weighted monotonicity formula that incorporates a time-dependent mobility.

Journal

• Interfaces and Free Boundaries

  Interfaces and Free Boundaries 23 (2), 169-190, 2021

  European Mathematical Society (EMS)

Keywords

• 53C44
• 35R37
• 70G75
• 74N15
• Grain boundary motion
• curve shortening equation
• weighted monotonicity formula

Details

• CRID: 1050010293063992320
• NII Article ID: 120007193023
• DOI: 10.4171/ifb/453
• ISSN: 14639971
• ISSN: 14639963
• HANDLE: 2433/268000
• Web Site: https://www.ems-ph.org/fulltext/10.4171/IFB/453
• Text Lang: en
• Article Type: journal article
• Data Source:
  • IRDB
  • Crossref
  • CiNii Articles
  • KAKEN