Results 11  20
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98,158
ON THE NAVIER–STOKES EQUATIONS FOR WATER
, 2005
"... In general, the existence of entropy imposes restrictions on the constitutive functions in the Navier–Stokes equations. In this paper, it is shown that if the energy per unit mass is a function of the temperature T only, then the pressure p is an arbitrary function of the density ρ multiplied by the ..."
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In general, the existence of entropy imposes restrictions on the constitutive functions in the Navier–Stokes equations. In this paper, it is shown that if the energy per unit mass is a function of the temperature T only, then the pressure p is an arbitrary function of the density ρ multiplied
of the NavierStokes Equations By
, 1956
"... Summary.A criterion is given for the convergence of numerical solutions of the NavierStokes equations in two dimensions under steady conditions. The criterion applies to all cases, of steady viscous flow in two dimensions and shows that if the local ' mesh Reynolds number ', based on th ..."
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Summary.A criterion is given for the convergence of numerical solutions of the NavierStokes equations in two dimensions under steady conditions. The criterion applies to all cases, of steady viscous flow in two dimensions and shows that if the local ' mesh Reynolds number ', based
On exact controllability for the NavierStokes equations
 ESAIM: COCV
, 1998
"... Abstract. We study the local exact controllability problem for the NavierStokes equations that describe an incompressible fluid flow in a bounded domain Ω with control distributed in a subdomain! Ω Rn; n 2 f2; 3g. The result that we obtained in this paper is as follows. Suppose that v̂(t; x) is ..."
Abstract

Cited by 66 (1 self)
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Abstract. We study the local exact controllability problem for the NavierStokes equations that describe an incompressible fluid flow in a bounded domain Ω with control distributed in a subdomain! Ω Rn; n 2 f2; 3g. The result that we obtained in this paper is as follows. Suppose that v̂(t; x
On Bloch waves for the Stokes equations
 in "DCDS series B
"... (Communicated by Bernard Dacorogna) Abstract. In this work, we study the Bloch wave decomposition for the Stokes equations in a periodic media in Rd. We prove that, because of the incompressibility constraint, the Bloch eigenvalues, as functions of the Bloch frequency ξ, are not continuous at the o ..."
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Cited by 1 (0 self)
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(Communicated by Bernard Dacorogna) Abstract. In this work, we study the Bloch wave decomposition for the Stokes equations in a periodic media in Rd. We prove that, because of the incompressibility constraint, the Bloch eigenvalues, as functions of the Bloch frequency ξ, are not continuous
stochastic NavierStokes equations
, 2008
"... In this paper, we establish a small time large deviation principle (small time asymptotics) for the twodimensional stochastic NavierStokes equations driven by multiplicative noise, which not only involves the study of the small noise, but also the investigation of the effect of the small, but high ..."
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In this paper, we establish a small time large deviation principle (small time asymptotics) for the twodimensional stochastic NavierStokes equations driven by multiplicative noise, which not only involves the study of the small noise, but also the investigation of the effect of the small
Lorentz Theorem on the Stokes Equation
"... Abstract. A simple derivation of the Lorentz theorem is presented which gives the perturbation pressure and velocity due to the presence of a plane wall introduced into an unlimited viscous fluid of given pressure and velocity obeying tlle Stokes equation. An extension to the case of spherical bound ..."
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Abstract. A simple derivation of the Lorentz theorem is presented which gives the perturbation pressure and velocity due to the presence of a plane wall introduced into an unlimited viscous fluid of given pressure and velocity obeying tlle Stokes equation. An extension to the case of spherical
Comparison results for the Stokes equations
, 2014
"... This paper enfolds a medius analysis for the Stokes equations and compares different finite element methods (FEMs). A first result is a best approximation result for a P1 nonconforming FEM. The main comparison result is that the error of the P2P0FEM is a lower bound to the error of the BernardiRa ..."
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This paper enfolds a medius analysis for the Stokes equations and compares different finite element methods (FEMs). A first result is a best approximation result for a P1 nonconforming FEM. The main comparison result is that the error of the P2P0FEM is a lower bound to the error of the Bernardi
for the stationary NavierStokes equations
, 2010
"... Abstract. The dispersive effect of the Coriolis force for the stationary NavierStokes equations is investigated. The effect is of a different nature than the one shown for the nonstationary case by J. Y. Chemin, B. Desjardins, I. Gallagher and E. Grenier. Existence of a unique solution is shown fo ..."
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Abstract. The dispersive effect of the Coriolis force for the stationary NavierStokes equations is investigated. The effect is of a different nature than the one shown for the nonstationary case by J. Y. Chemin, B. Desjardins, I. Gallagher and E. Grenier. Existence of a unique solution is shown
Feedback stabilization of NavierStokes equations
 ESAIM Control Optim. Calc. Var
, 2003
"... Abstract. The study of the local exponential stabilization problem for the NavierStokes equations using the algebraic Riccati equation is the main aim of this paper. ..."
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Cited by 15 (3 self)
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Abstract. The study of the local exponential stabilization problem for the NavierStokes equations using the algebraic Riccati equation is the main aim of this paper.
Results 11  20
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98,158