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.