2 00 6 on Landau ’ S Solutions of the Navier - Stokes Equations
نویسنده
چکیده
1. Introduction. In this note we will study a special class of solutions of the three-dimensional steady-state Navier-Stokes equations
منابع مشابه
A comparative study between two numerical solutions of the Navier-Stokes equations
The present study aimed to investigate two numerical solutions of the Navier-Stokes equations. For this purpose, the mentioned flow equations were written in two different formulations, namely (i) velocity-pressure and (ii) vorticity-stream function formulations. Solution algorithms and boundary conditions were presented for both formulations and the efficiency of each formulation was investiga...
متن کاملN ov 2 00 6 Inviscid limit for damped and driven incompressible Navier - Stokes equations in R 2
We consider the zero viscosity limit of long time averages of solutions of damped and driven Navier-Stokes equations in R 2. We prove that the rate of dissipation of enstrophy vanishes. Stationary statistical solutions of the damped and driven Navier-Stokes equations converge to renormalized stationary statistical solutions of the damped and driven Euler equations. These solutions obey the enst...
متن کاملer si on 1 - 3 M ar 2 00 8 Fine properties of self - similar solutions of the Navier – Stokes equations ∗
We study the solutions of the nonstationary incompressible Navier–Stokes equations in R , d ≥ 2, of self-similar form u(x, t) = 1 √
متن کاملO ct 2 00 5 Navier - Stokes equations : almost L 3 , ∞ - case
A sufficient condition of regularity for solutions to the Navier-Stokes equations is proved. It generalizes the so-called L 3,∞-case.
متن کاملM ay 2 00 5 Regularity criteria for suitable weak solutions of the Navier - Stokes equations near the boundary
We present some new regularity criteria for “suitable weak solutions” of the Navier-Stokes equations near the boundary in dimension three. We prove that suitable weak solutions are Hölder continuous up to the boundary provided that the scaled mixed norm L x,t with 3/p + 2/q ≤ 2, 2 < q ≤ ∞, (p, q) 6= (3/2,∞), is small near the boundary. Our methods yield new results in the interior case as well....
متن کامل