On the stationary Oseen equations in R

نویسنده

  • C. Amrouche
چکیده

The stationary Oseen equations are studied in R3 in its general form, that is, with a non-constant divergenceless function on the convective term. We prove existence, uniqueness and regularity results in weighted Sobolev spaces. From this new approach, we also state existence, uniqueness and regularity results for the generalized Oseen model which describes the rotating flows. The proofs are based on Laplace, Stokes and Oseen theories.

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

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

L p weighted theory for Navier - Stokes equations in exterior domains

This paper is devoted to some mathematical questions related to the stationary Navier-Stokes problem in three-dimensional exterior domains. Our approach is based on a combination of properties of Oseen problems in R and in exterior domains of R.

متن کامل

Academy of Sciences of the Czech Republic Mathematical Institute Anisotropic L-estimates of Weak Solutions to the Stationary Oseen-type Equations in R for a Rotating Body

We study the Oseen problem with rotational e ect in the whole threedimensional space. Using a variational approach we prove existence and uniqueness theorems in anisotropically weighted Sobolev spaces. As the main tool we derive and apply an inequality of the Friedrichs-Poincaré type.

متن کامل

L-approach of weak solutions to Stationary Rotating Oseen Equations in exterior domains

We establish the existence and uniqueness of weak solution of the three-dimensional nonhomogeneous stationary Oseen flow around a rotating body in an exterior domain. This article is extension of the previous results on the whole space. For the present extension to the case of exterior domains, we will use the localization procedure (see e.g. KoSo). In this way we combine the previous results (...

متن کامل

Error Estimates of a Pressure-Stabilized Characteristics Finite Element Scheme for the Oseen Equations

A pressure-stabilized characteristics finite element scheme for the Oseen equations is presented. Stability and convergence results with the optimal error estimates for the velocity and the pressure are proved. The scheme can deal with convection-dominated problems and leads to a symmetric coefficient matrix of the system of linear equations. A cheap P1/P1 finite element is employed and the deg...

متن کامل

Anisotropic L−estimates of weak solutions to the stationary Oseen-type equations in 3D-exterior domain for a rotating body S.Kra£mar, .Ne£asová and P.Penel

We study the Oseen problem with rotational e ect in exterior three-dimensional domains. Using a variational approach we prove existence and uniqueness theorems in anisotropically weighted Sobolev spaces in the whole three-dimensional space. As the main tool we derive and apply an inequality of the FriedrichsPoincaré type and the theory of Calderon-Zygmund kernels in weighted spaces. For the ext...

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

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 2013