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Seminar 8.2.2018: Toru Kan

PostPosted: Sun Feb 04, 2018 10:34 am
by quittner
Seminár z kvalitatívnej teórie diferenciálnych rovníc
Seminar on Qualitative Theory of Differential Equations

Thursday 8.2.2018 at 14:00 Lecture room M-223

Toru Kan (Tokyo Institute of Technology):
Stationary solutions of bistable reaction-diffusion equations on some thin tubular domain

On a thin tubular domain, we consider a scalar bistable reaction-diffusion equation
with the Neumann boundary condition. The domain is given as a tubular neighborhood
of a line segment such that the middle part is much thinner than the other part.
Since the domain is close to a line segment, the equation is expected to be approximated
by some one-dimensional limiting equation. After formally deriving the appropriate limiting equation,
we show that it indeed approximates the original equation.
Then we consider the solution structure of the limiting equation.