TY - JOUR
T1 - Stability of solutions of nonlinear parabolic equations for harmonic mean curvature flows
AU - Anada, Koichi
AU - Tsutsumi, Masayoshi
PY - 2002/10/1
Y1 - 2002/10/1
N2 - 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.
AB - 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.
KW - Bifurcation
KW - Harmonic mean curvature
KW - Self similar solutions
KW - Stability
UR - http://www.scopus.com/inward/record.url?scp=0036778783&partnerID=8YFLogxK
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U2 - 10.1016/S0362-546X(01)00832-X
DO - 10.1016/S0362-546X(01)00832-X
M3 - Article
AN - SCOPUS:0036778783
SN - 0362-546X
VL - 51
SP - 305
EP - 319
JO - Nonlinear Analysis, Theory, Methods and Applications
JF - Nonlinear Analysis, Theory, Methods and Applications
IS - 2
ER -