The stability of solutions of nonlinear parabolic equations for harmonic mean curvature flows was presented. The study of contractions of strictly convex surfaces evolving along the inner normal rate at a rate equal to their harmonic mean curvature to the power of 1/β was also presented. The asymptotic behavior of evolving surfaces was also studied. Results implied that the problem had various evolving patterns which were not spherical.
|Number of pages||15|
|Journal||Nonlinear Analysis, Theory, Methods and Applications|
|Publication status||Published - 2002 Oct|
- Harmonic mean curvature
- Self similar solutions
ASJC Scopus subject areas
- Applied Mathematics