Seminár z kvalitatívnej teórie diferenciálnych rovníc - Toru Kan (8.2.2018)

vo stvrtok 8.2.2018 o 14:00 v miestnosti M/223


05. 02. 2018 12.18 hod.
Od: Pavol Quittner

Prednášajúci: Toru Kan  (Tokyo Institute of Technology) 

Názov prednášky: Stationary solutions of bistable reaction-diffusion equations on some thin tubular domain

Termín: 8.2.2018, 14:00 hod., M/223


Abstrakt:
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.

Stránka seminára