Characteristics of viscous pumps with shrouded pockets using incompressible fluid. Theoretical analysis.

Mathematical models of turbulent motion of an incompressible viscous fluid

Motion of an Elastic Solid inside an Incompressible Viscous Fluid

The motion of an elastic solid inside an incompressible viscous fluid is ubiquitous in nature. Mathematically, such motion is described by a PDE system that couples the parabolic and hyperbolic phases, the latter inducing a loss of regularity which has left the basic question of existence open until now. In this paper, we prove the existence and uniqueness of such motions (locally in time), whe...

Small moving rigid body into a viscous incompressible fluid

We consider a single disk moving under the influence of a 2D viscous fluid and we study the asymptotic as the size of the solid tends to zero. If the density of the solid is independent of ε, the energy equality is not sufficient to obtain a uniform estimate for the solid velocity. This will be achieved thanks to the optimal Lp − Lq decay estimates of the semigroup associated to the fluid-rigid...

Pattern Selection for Faraday Waves in an Incompressible Viscous Fluid

Abstract. When a layer of fluid is oscillated up and down with a sufficiently large amplitude patterns form on the surface: a phenomenon first observed by Faraday. A wide variety of such patterns have been observed from regular squares and hexagons to superlattice and quasipatterns and more exotic patterns such as oscillons. Previous work has investigated the mechanisms of pattern selection usi...

Nested Cartesian grid method in incompressible viscous fluid flow

Article history: Received 15 January 2009 Received in revised form 16 April 2010 Accepted 28 May 2010 Available online 8 June 2010