Convergence rate of fully compressible Navier-Stokes equations in three-dimensional bounded domains

Stochastic vortex method for forced three dimensional Navier-Stokes equations and pathwise convergence rate

We develop a McKean-Vlasov interpretation of Navier-Stokes equations with external force field in the whole space, by associating with local mild Lp−solutions of the 3d-vortex equation a generalized nonlinear diffusion with random space-time birth that probabilistically describes creation of rotation in the fluid due to non-conservativeness of the force. We establish local a well-posedness resu...

On the barotropic compressible Navier-Stokes equations

We consider barotropic compressible Navier-Stokes equations with density dependent viscosity coefficients that vanish on vacuum. We prove the stability of weak solutions in periodic domain Ω = T and in the whole space Ω = R , when N = 2 and N = 3. The pressure is given by p(ρ) = ρ and our result holds for any γ > 1. Note that our notion of weak solutions is not the usual one. In particular we r...

3d Steady Compressible Navier–stokes Equations

2000 Mathematics Subject Classification. Primary: 76N10; Secondary: 35Q30.

Solution of Steady Three-Dimensional Compressible Euler and Navier-Stokes Equations by an Implicit LU Scheme

Global Existence of Martingale Solutions to the Three-dimensional Stochastic Compressible Navier-stokes Equations

The stochastic three-dimensional compressible Navier-Stokes equations are considered in a bounded domain with multiplicative noise. The global existence of martingale solution is established through the Galerkin approximation method, stopping time, compactness method and the Jakubowski-Skorokhod theorem. A martingale solution is a weak solution for the fluid variables and the Brownian motion on...