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Inviscid Large deviation principle and the 2D Navier Stokes equations with a free boundary condition
Inviscid Large deviation principle the 2D Navier Stokes equations
2010/11/23
Using a weak convergence approach, we prove a LPD for the solution of 2D stochastic Navier Stokes equations when the viscosity converges to 0 and the noise intensity is multiplied by the square root ...
Obstacle problem for SPDE with nonlinear Neumann boundary condition via reflected generalized backward doubly SDEs
SPDE nonlinear Neumann boundary condition
2010/11/19
This paper is intended to give a representation for stochastic viscosity solution of semi-linear reflected stochastic partial differential equations with nonlinear Neumann boundary condition. We use i...
Vanishing viscosity limit for viscous magnetohydrodynamic equations with a slip boundary condition
Magnetohydrodynamic system lip boundary condition vanishing viscosity limit
2010/12/1
We consider the evolutionary MHD systems, and study the the regularity and vanishing viscosity limit of the 3-D viscous system in a class of bounded domains with a slip boundary condition. We derive t...
THE APPROXIMATIONS OF THE EXACT BOUNDARY CONDITION AT AN ARTIFICIALBOUNDARY FOR LINEARIZED INCOMPRESSIBLE VISCOUS FLOWS
Oseen equations Artificial boundary Artificial boundary condition Finite element approximation Error estimate
2007/12/12
We consider the linearized incompressible Navier-Stokes (Oseen)
equations in a flat channel. A sequence of approximations to the exact
boundary condition at an artificial boundary is derived. Then t...