Stationary Stokes, Oseen and Navier–Stokes Equations with Singular Data
نویسندگان
چکیده
منابع مشابه
On the stationary Oseen equations in R
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 ba...
متن کاملInternal stabilization of the Oseen-Stokes equations by Stratonovich noise
(1) ∂X ∂t − ν∆X + (f · ∇)X + (X · ∇)g = ∇p in (0,∞)×O, ∇ ·X = 0 in (0,∞)×O, X(0, ξ) = x(t), ξ ∈ O, X = 0 on (0,∞)× ∂O. Here, O is an open and bounded subset of R, d = 2, 3, with smooth boundary ∂O and f, g ∈ C2(O;Rd) are given functions. In the special case g ≡ 0, system (1) describes the dynamic of a fluid Stokes flow with partial inclusion of convection acceleration (f ·∇)X (X is the velocity...
متن کاملThe Stationary Navier-Stokes Equations
Having considered the linear Stokes equations, we will now bring back the nonlinear term and consider the nonlinear version of the Stokes system. The solution of these equations can be viewed as the limit to which the solution of the full N-S equations tends as t tends to infinity. Of course no one knows at this point if the solutions of the N-S equations do tend to some limit as t tends to inf...
متن کاملOptimal control of Navier-Stokes equations by Oseen approximation
A non-standard sequential-quadratic-programming-type iterational process based on Oseen’s approximation is proposed and analyzed to solve an optimal control problem for the steady-state Navier-Stokes equations. Further numerical approximation by a finite-element method and sample computational experiments are presented, too.
متن کاملLagrange Multipliers and Stationary Stokes Equations
are called stationary Stokes equations, where u : Ω→ R denotes the velocity of the uid, p : Ω→ R denotes the pressure and f : Ω → R is the density of forces acting on the uid (e.g. gravitational force). The Stokes equations govern a ow of a steady, viscous, incompresible uid. We note that (1) is called the momentum equation and (2) is called the incompressibility equation. We supplement the sys...
متن کاملذخیره 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: Archive for Rational Mechanics and Analysis
سال: 2010
ISSN: 0003-9527,1432-0673
DOI: 10.1007/s00205-010-0340-8