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.
The stokes problem in fractal domains: asymptotic behaviour of the solutions / Rosaria Lancia, Maria; Vernole, Paola. - In: DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS. SERIES S. - ISSN 1937-1179. - 0:0(2019), pp. 1-13. [10.3934/dcdss.2020088]
The stokes problem in fractal domains: asymptotic behaviour of the solutions
Rosaria Lancia, Maria
;Vernole, Paola
2019
Abstract
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.File allegati a questo prodotto
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