偏微分方程式セミナー(2014/4/7):Dynamics of Localized patterns for Reaction-Diffusion Systems on a Curved Surface, 栄 伸一郎氏 (北海道大学)

開催日時
2014年   4月 7日 16時 30分 ~ 2014年   4月 7日 17時 30分
場所
北海道大学理学部3号館3-309室
講演者
栄 伸一郎 (北海道大学理学研究院数学部門)
 
The movement of a localized pattern appearing after Turing instability
is a much attractive topic. In this talk,
we consider reaction-diffusion systems which possess localized solutions
in two dimensional spaces and investigate the dynamics of the solutions
on a two dimensional curved surface. In order to analyze them, we
first assume the existence of a linearly stable localized solution in
the whole space and consider the movement of the solution when
the domain is deformed to a curved surface. By using the center
manifold reduction, we can reduce the dynamics to ODE systems expressed
by the gradient of Gaussian curvature.

関連項目

研究集会・セミナー・集中講義の一覧へ