Seminár z kvalitatívnej teórie diferenciálnych rovníc

Seminar on Qualitative Theory of Differential Equations

Thursday 5.12.2019 at 14:00 Lecture room M-223

Marek Fila (KAMŠ FMFI UK):

Rate of convergence in the large diffusion limit

for the heat equation with a dynamical boundary condition

Abstract:

We study the heat equation on a half-space or on an exterior domain

with a linear dynamical boundary condition.

Our main aim is to establish the rate of convergence to solutions

of the Laplace equation with the same dynamical boundary condition

as the diffusion coefficient tends to infinity.

This is a joint work with K. Ishige, T. Kawakami and J. Lankeit.