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two-dimensional Navier-Stokes equations

Well-posedness and long-time behavior of solutions for two-dimensional Navier-Stokes equations with infinite delay and general hereditary memory

Well-posedness and long-time behavior of solutions for two-dimensional Navier-Stokes equations with infinite delay and general hereditary memory

... about Navier-Stokes models ...the two-dimensional Navier-Stokes equations with memory and infinite delay in a bounded ...

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Self propelled anguilliform swimming: simultaneous solution of the two dimensional navier stokes equations and Newton's laws of motion

Self propelled anguilliform swimming: simultaneous solution of the two dimensional navier stokes equations and Newton's laws of motion

... in a flow tank or it might approximate swimming at constant speed in an open domain. However, this assumption does not allow the velocity to change in response to the cyclic variation in forward force that emerges from ...

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A comparative study between two numerical solutions of the Navier-Stokes equations

A comparative study between two numerical solutions of the Navier-Stokes equations

... investigate two numerical solutions of the Navier- Stokes ...flow equations were written in two different formulations, namely (i) velocity-pressure and (ii) vorticity-stream function ...

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The Boundary Layer Equations and a Dimensional Split Method for Navier Stokes Equations in Exterior Domain of a Spheroid and Ellipsoid

The Boundary Layer Equations and a Dimensional Split Method for Navier Stokes Equations in Exterior Domain of a Spheroid and Ellipsoid

... layer equations (abbreviation BLE) for exterior flow around an ob- stacle are established using semi-geodesic coordinate system (S-coordinate) based on the curved two dimensional surface of the ...

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Numerical Investigation of Laminar Flow over a Rotating Circular Cylinder

Numerical Investigation of Laminar Flow over a Rotating Circular Cylinder

... incompressible NavierStokes ...into two fractional steps, namely, pure diffusion and ...into two regions: the region close to the cylinder where viscous effects are important and the outer ...

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Stabilized finite volume element method for the 2D nonlinear incompressible viscoelastic flow equation

Stabilized finite volume element method for the 2D nonlinear incompressible viscoelastic flow equation

... steady Stokes equations, time-dependent Navier- Stokes equations, time-dependent parabolized Navier-Stokes equations, and time- dependent incompressible Boussinesq ...

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A Fast Immersed Boundary Fourier Pseudo-spectral Method for Simulation of the Incompressible Flows

A Fast Immersed Boundary Fourier Pseudo-spectral Method for Simulation of the Incompressible Flows

... The present paper is devoted to implementation of the immersed boundary technique into the Fourier pseudo-spectral solution of the vorticity-velocity formulation of the two-dimensional incompressible ...

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Nonhomogeneous boundary value problem for (I,J) similar solutions of incompressible two dimensional Euler equations

Nonhomogeneous boundary value problem for (I,J) similar solutions of incompressible two dimensional Euler equations

... Euler equations, and obtain a series of explicit (I, J) similar solutions to the incompressible two-dimensional Euler ...the two-dimensional incompressible Euler equations are, ...

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Vol 7, No 11 (2016)

Vol 7, No 11 (2016)

... differential equations appearing in fluid dynamics is given by three dimensional incompressible NavierStokes equations and can be simplified to the two-dimensional ...

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Hierarchical Expansion Method in the Solution of the Navier Stokes Equations for Incompressible Fluids in Laminar Two Dimensional Flow

Hierarchical Expansion Method in the Solution of the Navier Stokes Equations for Incompressible Fluids in Laminar Two Dimensional Flow

... Chen et al. [4] demonstrates that a unit operator (first level) and an orthogon- al project operator (second level) are constructed to act as the stability terms for Meshless Local Petrov-Galerkin (MLPG) method, which is ...

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CONTINUITY AND MOTION (NAVIER-STOKES) EQUATIONS

CONTINUITY AND MOTION (NAVIER-STOKES) EQUATIONS

... a two-dimensional unidirectional flow of an incompressible fluid under the effect of a pressure drop (see Figure ...of two known equations: the Navier-Stokes equation and the ...

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Pullback \(\mathcal{D}\)-attractors for three-dimensional Navier-Stokes equations with nonlinear damping

Pullback \(\mathcal{D}\)-attractors for three-dimensional Navier-Stokes equations with nonlinear damping

... Theorem . (see [, , ]) Let X, Y be two Banach spaces. X ∗ , Y ∗ be, respectively, their dual spaces. Assume that X is dense in Y , the injection i : X → Y is continuous, its adjoint i ∗ : Y ∗ → X ∗ is ...

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A Seven Dimensional System of the Navier Stokes Equations for a Two Dimensional Incompressible Fluid on a Torus

A Seven Dimensional System of the Navier Stokes Equations for a Two Dimensional Incompressible Fluid on a Torus

... the Navier-Stokes equa- tions for a 2-dimensional incompressible fluid on a torus ...the equations have been firmly verified and these theo- ries can be used in other similar ...

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Mixed formulation for navier stokes equations

Mixed formulation for navier stokes equations

... The finite element method constitutes a general tool for the numerical solution of partial differential equations in engineering and applied science. Historically, the method has taken place since early 1950s in ...

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Dissipation Limit for the Compressible Navier Stokes to Euler Equations in One Dimensional Domains

Dissipation Limit for the Compressible Navier Stokes to Euler Equations in One Dimensional Domains

... the Navier-Stokes equations for one-dimensional compressible heat-conducting fluids with centered rarefaction data of small strength converges to the centered rarefaction wave solution of the ...

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On the global existence of 3-D magneto-hydrodynamic system in the critical spaces

On the global existence of 3-D magneto-hydrodynamic system in the critical spaces

... neous Navier-Stokes ...for Navier- Stokes ...inhomogeneous Navier-Stokes ...isentropic Navier-Stokes equations in critical spaces but without the small ...

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On One Possibility of Closuring the Chain of Equations for Statistical Moments in Turbulence Theory

On One Possibility of Closuring the Chain of Equations for Statistical Moments in Turbulence Theory

... the Navier-Stokes equations using the perturbation theory when the nonlinear term in Na- vier-Stokes equation is considered as perturbation, and, while culculating statistical moments, a ...

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Double Solutions of the Euler and Navier-Stokes Equations Process of Origination the Vorticity and Turbulence

Double Solutions of the Euler and Navier-Stokes Equations Process of Origination the Vorticity and Turbulence

... depend on the commutator of the form ω that enters into the evolutionary relation. (If the commutator be equal to zero, the evolutionary relation would be identical and the equations would be integrated directly). ...

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A Novel Differential System Construction Method for Complex Surface Based on Aerodynamic Design

A Novel Differential System Construction Method for Complex Surface Based on Aerodynamic Design

... Abstract. In this paper, a novel complex surface construction method for aerodynamic design is proposed based on differential system. In order to simplify the process of calculating and analyzing the flow field above the ...

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Navier Stokes Equations—Millennium  Prize Problems

Navier Stokes Equations—Millennium Prize Problems

... the Navier-Stokes equations have been devoted to the problem of the smoothness of its so- ...the Navier-Stokes ...the Navier-Stokes equations means that the ...

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