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$$L^q$$ -Solution of the Robin Problem for the Stokes System with Coriolis Force
Springer Science and Business Media LLC - Tập 20 - Trang 1589-1616 - 2018
Dagmar Medková
We define single layer potential and double layer potential for the stationary Stokes system with Coriolis term and study properties of these potentials. Then using the integral equation method we study the Dirichlet problem, the Neumann problem and the Robin problem for the Stokes system with Coriolis term. We look for solutions of the problems such that the maximal functions of the velocity ...... hiện toàn bộ
Spectral Element Discretization of the Circular Driven Cavity. Part III: The Stokes Equations in Primitive Variables
Springer Science and Business Media LLC - Tập 5 - Trang 24-69 - 2003
Z. Belhachmi, C. Bernardi, A. Karageorghis
This paper deals with the spectral element discretization of the Stokes equations in a disk with discontinuous boundary data. The numerical treatment does not involve any regularization of these data. Based on a variational formulation in the primitive variables of velocity and pressure, we describe a discretization of the Stokes problem and derive error estimates in Sobolev spaces with appropr...... hiện toàn bộ
Well-Posedness of a Gas—Solid Phase Transition Problem
Springer Science and Business Media LLC - Tập 1 - Trang 282-308 - 1999
I. A. Kaliev, A. V. Kazhikhov
A new model for liquid—solid phase transitions within the frame of complete Navier—Stokes equations in a liquid phase is proposed. It takes into account such properties of liquid as compressibility, viscosity, and heat conductivity. The local existence and uniqueness of a smooth solution to the related initial-boundary value problem is proved.
The 3-D Inviscid Limit Result Under Slip Boundary Conditions. A Negative Answer
Springer Science and Business Media LLC - Tập 14 - Trang 55-59 - 2011
H. Beirão da Veiga, F. Crispo
We show that, in general, the solutions to the initial-boundary value problem for the Navier-Stokes equations under a widely adopted Navier-type slip boundary condition do not converge, as the viscosity goes to zero, to the solution of the Euler equations under the classical zero-flux boundary condition, and same smooth initial data, in any arbitrarily small neighborhood of the initial time. Conve...... hiện toàn bộ
A Note on Liouville Theorem for Stationary Flows of Shear Thickening Fluids in the Plane
Springer Science and Business Media LLC - Tập 15 - Trang 771-782 - 2013
Guo Zhang
In this paper we consider the entire weak solutions of the equations for stationary flows of shear thickening fluids in the plane and prove Liouville theorem under the global boundedness condition of velocity fields.
Spectral Element Discretization of the Circular Driven Cavity. Part IV: The Navier-Stokes Equations
Springer Science and Business Media LLC - Tập 6 - Trang 121-156 - 2004
Zakaria Belhachmi, Christine Bernardi, Andreas Karageorghis
This paper deals with the spectral element discretization of the Navier-Stokes equations in a disk with discontinuous boundary data, which is known as the driven cavity problem. The numerical treatment does not involve any regularization of these data. Relying on a variational formulation in the primitive variables of velocity and pressure, we describe a discretization of these equations and de...... hiện toàn bộ
Unstable Eigenvalues Associated with Inviscid Fluid Flows
Springer Science and Business Media LLC - - 2000
S. Friedlander, M. Vishik, V. Yudovich
An example is presented of a class of periodic, two-dimensional, inviscid fluid flows where the stability spectrum contains both discrete unstable eigenvalues and an unstable essential spectrum. The method of averaging is used to demonstrate the existence of unstable eigenvalues. For such flows spectral instability implies nonlinear instability.
Nonhomogeneous Boundary Value Problems for Equations of Viscous Heat-Conducting Gas in Time-Decreasing Non-Rectangular Domains
Springer Science and Business Media LLC - Tập 10 - Trang 176-202 - 2007
I. A. Kaliev, M. S. Podkuiko
In this article the global solvability of the initial-boundary value problems for the system of equations describing non-stationary flow of the viscous heat-conducting one-dimensional gas in time-decreasing non-rectangular domains is proved.
Asymptotic Behavior of Solutions of the Compressible Navier–Stokes Equation Around the Plane Couette Flow
Springer Science and Business Media LLC - Tập 13 Số 1 - Trang 1-31 - 2011
Yoshiyuki Kagei
Decay Properties of Axially Symmetric D-Solutions to the Steady Navier–Stokes Equations
Springer Science and Business Media LLC - Tập 20 - Trang 7-25 - 2017
Shangkun Weng
We investigate the decay properties of smooth axially symmetric D-solutions to the steady Navier–Stokes equations. The achievements of this paper are two folds. One is improved decay rates of $$u_{\theta }$$ and ...... hiện toàn bộ
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