期刊
JOURNAL OF DYNAMICS AND DIFFERENTIAL EQUATIONS
卷 31, 期 3, 页码 1671-1688出版社
SPRINGER
DOI: 10.1007/s10884-018-9718-3
关键词
Incompressible flow; Navier-Stokes equations; Fluid-structure interaction; Small obstacle; Singular limit
资金
- ANR Project Dyficolti [ANR-13-BS01-0003-01]
- LABEX MILYON of Universite de Lyon, within the program Investissements d'Avenir [ANR-10-LABX-0070, ANR-11-IDEX-0007]
In this article, we consider a small rigid body moving in a viscous fluid filling the whole R2. We assume that the diameter of the rigid body goes to 0, that the initial velocity has bounded energy and that the density of the rigid body goes to infinity. We prove that the rigid body has no influence on the limit equation by showing convergence of the solutions towards a solution of the Navier- Stokes equations in the full plane R-2.
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