On an exterior initial-boundary value problem for Navier-Stokes equations
نویسندگان
چکیده
منابع مشابه
Global Wellposedness of a Free Boundary Problem for the Navier-Stokes Equations in an Exterior Domain
This paper deals with global well-posedness of the following free boundary problem for the Navier-Stokes equations. Let Ω be an exterior domain in the N dimensional Eucledian space RN occupied by an incompressible viscous fluid. Let Γ be the boundary of Ω that is a C2 compact hyper surface with the unit outer normal n. Let t Ω be the evolution of Ω at time t. Let t Γ be the boundary of t Ω with...
متن کاملOn the free boundary value problem for one-dimensional compressible Navier-Stokes equations with constant exterior pressure
*Correspondence: [email protected] 1College of Mathematics and Information Science, North China University of Water Resources and Electric Power, Zhengzhou, 450011, P.R. China 2Institute of Atmospheric Physics, Chinese Academy of Sciences, Beijing, 100029, P.R. China Full list of author information is available at the end of the article Abstract In this paper, we consider the free bounda...
متن کاملSolvability of the Initial-boundary Value Problem of the Navier-stokes Equations with Rough Data
In this paper, we study the initial and boundary value problem of the Navier-Stokes equations in the half space. We prove the unique existence of weak solution u ∈ L(R+ × (0, T )) with ∇u ∈ L q 2 loc (R+ × (0, T )) for a short time interval when the initial data h ∈ B − 2 q q (R+) and the boundary data g ∈ L(0, T ;B − 1 q q (R)) + L(R;B − 1 2q q (0, T )) with normal component gn ∈ L (0, T ; Ḃ −...
متن کاملInverse Boundary Value Problem for the Stokes and the Navier-stokes Equations in the Plane
In this paper, we prove in two dimensions global identifiability of the viscosity in an incompressible fluid by making boundary measurements. The main contribution of this work is to use more natural boundary measurements, the Cauchy forces, than the Dirichlet-to-Neumann map previously considered in [7] to prove the uniqueness of the viscosity for the Stokes equations and for the Navier-Stokes ...
متن کاملInitial-Boundary Value Problem for Hyperbolic Equations
where Ji = 0 for x0 < 0. The problem is to find necessary and sufficient conditions on B(x, B) such that the initial-boundary value problem (1), (2), (3) is well-posed. Note that all theorems that a;re formulated below will also apply to the case when (1) is a general hyperbolic equation or a hyperbolic system of equations of arbitrary order provided that all components of the characteristic co...
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: Quarterly of Applied Mathematics
سال: 1999
ISSN: 0033-569X,1552-4485
DOI: 10.1090/qam/1672187