Seminár z kvalitatívnej teórie diferenciálnych rovníc - Toru Kan (8.2.2018)
vo stvrtok 8.2.2018 o 14:00 v miestnosti M/223
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
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.