Naslov
Dirichlet vs Neumann

Autori
Marušić-Paloka, Eduard

Izvornik
Proceedings of the edinburgh mathematical society (0013-0915) 65 (2022), 4; 1063-1074

Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni

Ključne riječi
periodic boundary condition, homogenization, boundary layer, Laplace equation, Zaremba problem

Sažetak
We study the asymptotic behaviour of the periodically mixed Zaremba problem. We cover the part of the boundary by a chess board with a small period (square size) 𝜀 and impose the Dirichlet condition on black and the Neumann condition on white squares. As 𝜀→0 , we get the effective boundary condition which is always of the Dirichlet type. The Dirichlet data on the boundary, however, depend on the ratio between the magnitudes of the two boundary values.

Izvorni jezik
Engleski

Znanstvena područja
Matematika

POVEZANOST RADA