Uniform Local Solvability for the Navier-Stokes Equations with the Coriolis Force

نویسندگان
چکیده

برای دانلود رایگان متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Error analysis of a projection method for the Navier–Stokes equations with Coriolis force

In this paper a projection method for the Navier–Stokes equations with Coriolis force is considered. This time-stepping algorithm takes into account the Coriolis terms both on prediction and correction steps. We study the accuracy of its semi-discretized form and show that the velocity is weakly first-order approximation and the pressure is weakly order 1 2 approximation. Mathematics Subject Cl...

متن کامل

Optimization with the time-dependent Navier-Stokes equations as constraints

In this paper, optimal distributed control of the time-dependent Navier-Stokes equations is considered. The control problem involves the minimization of a measure of the distance between the velocity field and a given target velocity field. A mixed numerical method involving a quasi-Newton algorithm, a novel calculation of the gradients and an inhomogeneous Navier-Stokes solver, to find the opt...

متن کامل

On Dispersive Effect of the Coriolis Force for the Stationary Navier-stokes Equations

The dispersive effect of the Coriolis force for the stationary Navier-Stokes equations is investigated. The effect is of a different nature than the one shown for the non-stationary case Existence of a unique solution is shown for arbitrary large external force provided the Coriolis force is large enough. The analysis is carried out in a new framework of the Fourier-Besov spaces. In addition to...

متن کامل

A Solvability Criterion for Navier-stokes Equations in High Dimensions

Abstract. We define the Ladyzhenskaya-Lions exponent αl(n) = (2 + n)/4 for Navier-Stokes equations with dissipation −(−∆) in R, for all n ≥ 2. We then prove strong global solvability when α ≥ αl(n), given smooth initial data. If the corresponding Euler equations for n > 2 were to allow uncontrolled growth of the enstrophy 1 2 ‖∇u‖ L2 , then no globally controlled coercive quantity is currently ...

متن کامل

Error Analysis of a Projection Method for the Navier-stokes Equations with Coriolis

FIG. 1.1. STR geometry. being quite popular these methods require often a large amount of CPU time to simulate even 2D benchmark models if high accuracy is desired. Moreover, their handling of geometry and meshes serves as a source of additional errors in velocity and pressure fields. For example, the fictitious boundary approach often uses a fixed mesh and therefore may capture boundaries of a...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

ژورنال

عنوان ژورنال: Methods and Applications of Analysis

سال: 2005

ISSN: 1073-2772,1945-0001

DOI: 10.4310/maa.2005.v12.n4.a2