Navier-Stokes equations in thin 3D domains with Navier boundary conditions
نویسندگان
چکیده
منابع مشابه
Navier-stokes Equations with Navier Boundary Conditions in Nearly Flat Domains
We consider the Navier–Stokes equations in a thin domain of which the top and bottom are not flat. The velocity fields are subject to the Navier conditions on those boundaries and the periodicity condition on the other sides on the domain. The model arises from studies of climate and oceanic flows. We show that the strong solutions exist for all time provided the initial data belong to a “large...
متن کاملBoundary Layer Analysis of the Navier-stokes Equations with Generalized Navier Boundary Conditions
We study the weak boundary layer phenomenon of the Navier-Stokes equations with generalized Navier friction boundary conditions, u ·n = 0, [S(u)n] tan +Au = 0, in a bounded domain in R when the viscosity, ε > 0, is small. Here, S(u) is the symmetric gradient of the velocity, u, and A is a type (1, 1) tensor on the boundary. When A = αI we obtain Navier boundary conditions, and when A is the sha...
متن کاملNavier-Stokes equations with periodic boundary conditions and pressure loss
We present in this note the existence and uniqueness results for the Stokes and Navier-Stokes equations which model the laminar flow of an incompressible fluid inside a two-dimensional channel of periodic sections. The data of the pressure loss coefficient enables us to establish a relation on the pressure and to thus formulate an equivalent problem.
متن کاملNonsteady Navier-stokes Equations with Homogeneous Mixed Boundary Conditions
Let Ω be a bounded domain in IR with a Lipschitz boundary, ∂Ω ∈ | C and let Γ1, Γ2 be open disjoint subsets of ∂Ω such that ∂Ω = Γ1 ∪ Γ2, Γ1 6= ∅ and the 1-dimensional measure of ∂Ω − (Γ1 ∪ Γ2) is zero. The domain Ω represents a channel filled up with a fluid, Γ1 is a fixed wall and Γ2 is both the input and the output of the channel. Let T ∈ (0,∞], Q = Ω×(0, T ). The classical formulation of ou...
متن کاملOptimization 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 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: Indiana University Mathematics Journal
سال: 2007
ISSN: 0022-2518
DOI: 10.1512/iumj.2007.56.2834