C Lacave, T Takahashi - Archive for Rational Mechanics and Analysis, 2017 - Springer
We consider a single disk moving under the influence of a two dimensional viscous fluid and we study the asymptotic as the size of the solid tends to zero. If the density of the solid is …
We consider the motion of a small rigid object immersed in a viscous compressible fluid in the 3-dimensional Eucleidean space. Assuming the object is a ball of a small radius ε we …
J He, D Iftimie - Journal of Dynamics and Differential Equations, 2019 - Springer
In this article, we consider a small rigid body moving in a viscous fluid filling the whole\mathbb R^ 2 R 2. We assume that the diameter of the rigid body goes to 0, that the …
We consider the motion of N rigid bodies–compact sets (S ε 1,⋯, S ε N) ε> 0–immersed in a viscous incompressible fluid contained in a domain in the Euclidean space R d, d= 2, 3. We …
M Bravin, Š Nečasová - Journal of Differential Equations, 2023 - Elsevier
In this paper we study the interaction of a small rigid body in a viscous compressible fluid. The system occupies a bounded three dimensional domain. The object it allowed to freely …
HJN Lopes, JP Kelliher, MC Lopes Filho - … de l'Institut Henri Poincaré C, 2009 - ems.press
We study the limiting behavior of viscous incompressible flows when the fluid domain is allowed to expand as the viscosity vanishes. We describe precise conditions under which …
We consider the motion of N rigid bodies–compact sets (S1 ε,···, SN ε) ε> 0–immersed in a viscous incompressible fluid contained in a domain in the Euclidean space Rd, d= 2, 3. We …
We treat three problems on a two-dimensional “punctured periodic domain”: we take Ω r=(− L, L) 2\r K, where r> 0 and K is the closure of an open connected set that is star-shaped with …
C Lacave - Proceedings of the American Mathematical Society, 2015 - ams.org
In this article, we consider Leray solutions of the Navier-Stokes equations in the exterior of one obstacle in 3D and we study the asymptotic behavior of these solutions when the …