| Full text | |
| Author(s): |
Total Authors: 3
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| Affiliation: | [1] Univ Lyon 1, Inst Camille Jordan, CNRS, UMR 5208, F-69622 Villeurbanne - France
[2] Univ Estadual Campinas, IMECC, Dept Matemat, BR-13083970 Campinas, SP - Brazil
Total Affiliations: 2
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| Document type: | Journal article |
| Source: | Communications in Mathematical Physics; v. 287, n. 1, p. 99-115, APR 2009. |
| Web of Science Citations: | 10 |
| Abstract | |
In this article we consider viscous flow in the exterior of an obstacle satisfying the standard no-slip boundary condition at the surface of the obstacle. We seek conditions under which solutions of the Navier-Stokes system in the exterior domain converge to solutions of the Euler system in the full space when both viscosity and the size of the obstacle vanish. We prove that this convergence is true assuming two hypotheses: first, that the initial exterior domain velocity converges strongly in L (2) to the full-space initial velocity and second, that the diameter of the obstacle is smaller than a suitable constant times viscosity, or, in other words, that the obstacle is sufficiently small. The convergence holds as long as the solution to the limit problem is known to exist and stays sufficiently smooth. This work complements the study of incompressible flow around small obstacles, which has been carried out in {[}4-6]. (AU) | |
| FAPESP's process: | 07/51490-7 - Mathematical aspects of incompressible fluid dynamics |
| Grantee: | Milton da Costa Lopes Filho |
| Support Opportunities: | Research Projects - Thematic Grants |
| FAPESP's process: | 06/04861-7 - An illustration of boundary layer behavior with circularly symmetric flows |
| Grantee: | Helena Judith Nussenzveig Lopes |
| Support Opportunities: | Research Grants - Meeting - Abroad |