The stokes problem in fractal domains: asymptotic behaviour of the solutions

01 Pubblicazione su rivista
Rosaria Lancia Maria, Vernole Paola
ISSN: 1937-1179

We study a Stokes problem in a three dimensional fractal domain
of Koch type and in the corresponding prefractal approximating domains. We
prove that the prefractal solutions do converge to the limit fractal one in a
suitable sense. Namely the approximating velocity vector elds as well as the
approximating associated pressures converge to the limit fractal ones respec-
tively.

© Università degli Studi di Roma "La Sapienza" - Piazzale Aldo Moro 5, 00185 Roma