偏微分方程式セミナー: Asymptotically self-similar solutions to curvatureflow equations with prescribed contact angle

開催日時
2013年   6月 3日 16時 30分 ~ 2013年   6月 3日 17時 30分
場所
北海道大学理学部3号館309室
講演者
浜向 直氏 (東京大学数理科学研究科) 
 
We study the asymptotic behavior of solutions to fully
nonlinear second order parabolic equations including
a generalized curvature flow equation which was
introduced by W. W. Mullins in 1957 as a model of
evaporation-condensation. We prove that, in the
multi-dimensional half space,solutions of the problem
with prescribed contact angle asymptotically converge
to a self-similar solution of the associated
problem. We also give estimates for the depth of the
thermal groove, which is represented by the value of
the self-similar solution at the boundary.

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