| Full text | |
| Author(s): |
Chipot, Michel
[1]
;
Droniou, Jerome
[2]
;
Planas, Gabriela
[3]
;
Robinson, James C.
[4]
;
Xue, Wei
[1]
Total Authors: 5
|
| Affiliation: | [1] Angew Math, Inst Math, Winterthurerstr 190, CH-8057 Zurich - Switzerland
[2] Monash Univ, Sch Math, Clayton, Vic 3800 - Australia
[3] Univ Estadual Campinas, Inst Matemat Estat & Comp Cient, Dept Matemat, Rua Sergio Buargue de Holanda 651, BR-13083859 Campinas, SP - Brazil
[4] Univ Warwick, Math Inst, Coventry CV4 7AL, W Midlands - England
Total Affiliations: 4
|
| Document type: | Journal article |
| Source: | ANALYSIS AND APPLICATIONS; v. 18, n. 2, p. 211-235, MAR 2020. |
| Web of Science Citations: | 0 |
| Abstract | |
We treat three problems on a two-dimensional ``punctured periodic domain{''}: we take Omega(r)= (-L, L)(2) \textbackslash{}rK, where r > 0 and K is the closure of an open connected set that is star-shaped with respect to 0 and has a C-1 boundary. We impose periodic boundary conditions on the boundary of Omega= (-L, L)(2), and Dirichlet boundary conditions on partial derivative(rK). In this setting we consider the Poisson equation, the Stokes equations, and the time-dependent Navier-Stokes equations, all with a fixed forcing function f, and examine the behavior of solutions as r -> 0. In all three cases we show convergence of the solutions to those of the limiting problem, i.e. the problem posed on all of Omega with periodic boundary conditions. (AU) | |
| FAPESP's process: | 13/00048-3 - Analysis of the dynamics of rigid bodies immersed in an incompressible fluid |
| Grantee: | Gabriela Del Valle Planas |
| Support type: | Scholarships abroad - Research |