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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 ...
Exact solution of a 2D interacting fermion model
Exact solution a 2D interacting fermion model
2010/11/11
We study an exactly solvable quantum field theory (QFT) model describing interacting fermions in 2+1 dimensions. This model provides an effective description of spinless fermions on a square lattice w...
Dissipative models generalizing the 2D Navier-Stokes and the surface quasi-geostrophic equations
the 2D Navier-Stokes surface quasi-geostrophic equations
2010/11/8
This paper is devoted to the global (in time) regularity problem for a family of active scalar equations with fractional dissipation. Each component of the velocity field $u$ is determined by the act...