Advertisement

Basic Properties of the Brakke Flow

  • Yoshihiro Tonegawa
Chapter
Part of the SpringerBriefs in Mathematics book series (BRIEFSMATH)

Abstract

In this chapter, we present some basic properties satisfied by the Brakke flow.

References

  1. 7.
    Brakke, K.: The Motion of a Surface by Its Mean Curvature. Mathematical Notes, vol. 20. Princeton University Press, Princeton (1978)Google Scholar
  2. 8.
    Cheeger, J., Haslhofer, R., Naber, A.: Quantitative stratification and the regularity of mean curvature flow. Geom. Funct. Anal.23(3), 828–847 (2013)MathSciNetCrossRefGoogle Scholar
  3. 17.
    Huisken, G.: Asymptotic behavior for singularities of the mean curvature flow. J. Differ. Geom.31(1), 285–299 (1990)MathSciNetCrossRefGoogle Scholar
  4. 19.
    Ilmanen, T.: Elliptic regularization and partial regularity for motion by mean curvature. Mem. Amer. Math. Soc.120, 520 (1994)MathSciNetzbMATHGoogle Scholar
  5. 20.
    Ilmanen, T.: Singularities of mean curvature flow of surfaces (1995).http://www.math.ethz.ch/~ilmanen/papers/sing.ps
  6. 39.
    White, B.: Stratification of minimal surfaces, mean curvature flows, and harmonic maps. J. Reine Angew. Math.488, 1–35 (1997)MathSciNetzbMATHGoogle Scholar

Copyright information

© The Author(s), under exclusive license to Springer Nature Singapore Pte Ltd. 2019

Authors and Affiliations

  • Yoshihiro Tonegawa
    • 1
  1. 1.Tokyo Institute of TechnologyTokyoJapan

Personalised recommendations