PDE seminar:Dynamics of Localized patterns for ReactionDiffusion Systems on a Curved Surface
 Date

201447 16:30 
201447 17:30
 Place
 Faculty of Science Building #3, Room 309

Speaker/Organizer
 ShinIchiro Ei (Hokkaido University)

 The movement of a localized pattern appearing after Turing instability
is a much attractive topic. In this talk,
we consider reactiondiffusion 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.