- Tytuł:
- Energy integral of the Stokes flow in a singularly perturbed exterior domain
- Autorzy:
- Riva, M. D.
- Powiązania:
- https://bibliotekanauki.pl/articles/255971.pdf
- Data publikacji:
- 2012
- Wydawca:
- Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
- Tematy:
-
boundary value problem for Stokes system
singularly perturbed exterior domain
real analytic continuation in Banach space - Opis:
- We consider a pair of domains Ωb and Ωs in Rn and we assume that the closure of Ωb does not intersect the closure of ε Ωs for ε ∈ (0, ε 0). Then for a fixed ε ∈ (0, ε0)we consider a boundary value problem in Rn\ (Ωb ∪ εΩs) which describes the steady state Stokes flow of an incompressible viscous fluid past a body occupying the domain Ωb and past a small impurity occupying the ε Ωs. The unknown of the problem are the velocity field u and the pressure field p, and we impose the value of the velocity field u on the boundary both of the body and of the impurity. We assume that the boundary velocity on the impurity displays an arbitrarily strong singularity when ε tends to 0. The goal is to understand the behaviour of the strain energy of (u, p) for ε small and positive. The methods developed aim at representing the limiting behaviour in terms of analytic maps and possibly singular but completely known functions of ε, such as ε-1, log &epsilon.
- Źródło:
-
Opuscula Mathematica; 2012, 32, 4; 647-659
1232-9274
2300-6919 - Pojawia się w:
- Opuscula Mathematica
- Dostawca treści:
- Biblioteka Nauki
Artykuł