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EXIT TIMES OF DIFFUSIONS WITH INCOMPRESSIBLE DRIFTS
EXIT TIMES DIFFUSIONS INCOMPRESSIBLE DRIFTS
2015/7/14
Let Ω ⊂ Rn be a bounded domain and for x ∈ Ω let τ(x) be the expected exit time from Ω of a diffusing particle starting at x and advected by an incompressible flow u. We are in...
Euler equations of incompressible fluids use and enrich many branches of mathematics, from integrable systems to geometric analysis. They present important open physical and mathematical problems. Exa...
A STOCHASTIC LAGRANGIAN REPRESENTATION OF THE 3-DIMENSIONAL INCOMPRESSIBLE NAVIER-STOKES EQUATIONS
stochastic Lagrangian incompressible Navier-Stokes
2014/4/4
In this paper we derive a representation of the deterministic 3-dimensional Navier-Stokes equations based on stochastic Lagrangian paths.The particle trajectories obey SDEs driven by a uniform Wiener ...
Finite dimensional reduction and convergence to equilibrium for incompressible Smectic-A liquid crystal flows
Finite dimensional reduction incompressible Smectic-A liquid crystal flows
2010/11/8
We consider a hydrodynamic system that models the Smectic-A liquid crystal flow. The model consists of the Navier-Stokes equation for the fluid velocity coupled with a fourth-order equation for the la...
The exact controllability of the movement of homogeneous incompressible viscous fluid in an infinite cylinder
Exact controllability Hilbert space
2010/9/13
In the present work we propose to study the movement of a steady density of an incompressible viscous fluid in a cylindrical domain to control the external boundary. This movement with axial symmetry,...