The Dissipative Scale of the Stochastics Navier Stokes Equation: Regularization and Analyticity
نویسنده
چکیده
We prove spatial analyticity for solutions of the stochastically forced Navier Stokes equation, provided that the forcing is sufficiently smooth spatially. We also give estimates, which extend to the stationary regime, providing strong control of both of the expected rate of dissipation and fluctuations about this mean. Surprisingly, we could not obtain non-random estimates of the exponential decay rate of the spatial Fourier spectra.
منابع مشابه
Analyticity estimates for the Navier-Stokes equations
We study spatial analyticity properties of solutions of the Navier-Stokes equation and obtain new growth rate estimates for the analyticity radius. We also study stability properties of strong global solutions of the Navier-Stokes equation with data in H, r ≥ 1/2 and prove a stability result for the analyticity radius.
متن کاملAnalyticity for the Navier Stokes and Related Equations with Initial Data
We introduce a method of estimating the space analyticity radius of solutions for the Navier Stokes and related equations in terms of L p and L norms of the initial data. The method enables us to express the space analyticity radius for 3D Navier Stokes equations in terms of the Reynolds number of the flow. Also, for the Kuramoto Sivashinsky equation, we give a partial answer to a conjecture th...
متن کاملSpace Analyticity for the Nonlinear Heat Equation in a Bounded Domain
In [FoT], Foias and Temam introduced a method for estimating the space-analyticity radius of solutions of the Navier Stokes equation with periodic boundary conditions. For the numerous applications, see e.g. [CEES, CRT, DTH, FT, Gr, K, LO]. In our previous paper [GK], we did not use the Fourier series and were thus able to treat the Navier Stokes and other semilinear parabolic equations with si...
متن کاملInvestigation of instable fluid velocity in pipes with internal nanofluid flow based on Navier-Stokes equations
In this article, the instable fluid velocity in the pipes with internal nanofluid is studied. The fluid is mixed by SiO2, AL2O3, CuO and TiO2 nanoparticles in which the equivalent characteristic of nanofluid is calculated by rule of mixture. The force induced by the nanofluid is assumed in radial direction and is obtained by Navier-Stokes equation considering viscosity of nanofluid. The displac...
متن کاملTurbulent Flow over Cars
In this paper the flow behaviour over a number of car bodies is studied. For this purpose the unsteady 2-D incompressible Navier-Stokes equations have been applied. After averaging and nondimensionalizing the equations, the system of equations has been transformed from the Cartesian (x-y) coordinates to a body fitted generalized (-) coordinate. As the flow is incompressible, the density in the ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 2002