Stokes equations
Dynamically Correct Formulations of the Linearised Navier-Stokes Equations
... Motivated by the need to efficiently obtain low-order models of fluid flows around complex geometries for the purpose of feedback control system design, this paper considers the effect on system dynamics of basing plant ...
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Note on Prodi Serrin Ladyzhenskaya type regularity criteria for the Navier Stokes equations
... Remarks on regularity criterion for weak solutions to the Navier-Stokes equations in terms of the gradient of the pressure.. Solutions for semilinear parabolic equations in Lp and regula[r] ...
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Double Solutions of the Euler and Navier-Stokes Equations Process of Origination the Vorticity and Turbulence
... Navier-Stokes equations are properties that are typical for the solutions to the mathematical physics equations that describe such material systems (media) like the thermodynamical, gas-dynamical and ...
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On a model for the Navier–Stokes equations using magnetization variables
... Navier–Stokes equations, within families of related ...Navier– Stokes equations in the magnetization variables formulation (3–4) may be worth- while, particularly given the apparent similarity ...
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The limits of coefficients of the species diffusion and the rate of reactant to one dimensional compressible Navier–Stokes equations for a reacting mixture
... In this paper, we consider the initial-boundary value problem of the one-dimensional compressible viscous and heat-conductive Navier–Stokes equations with a reacting mixture. This model is used to describe ...
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The Peculiarity of Numerical Solving the Euler and Navier Stokes Equations
... Exact generalized solutions to the Euler and Navier-Stokes equations describe such observable quantities ari- sen. It is evident that the transition from inexact solutions to exact (generalized) solutions ...
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On suboptimal control strategies for the Navier-Stokes equations
... Let us also point out some of the recent developments that concentrate on analytical aspects of control for the Navier-Stokes equations. Significant ad- vances have been made in the area of controllability, ...
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Navier Stokes Equations—Millennium Prize Problems
... Navier-Stokes equations, which suggest the global solvability of the Cauchy problem for the Navier-Stokes ...nonlinear equations with inverse scattering methods to multi-dimensional ...
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Hovering of model insects: simulation by coupling equations of motion with Navier–Stokes equations
... the equations of motion with the Navier–Stokes ...The equations are solved numerically; periodical solutions representing the hover flight are obtained by the shooting ...
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A Five Mode System of the Navier Stokes Equations on a Torus
... A five-mode truncation of the Navier-Stokes equations for a two-dimensional incompressible fluid on a torus is studied. Its stationary solutions and stability are presented; the existence of attractor and ...
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On some alternative formulations of the Euler and Navier Stokes equations
... Navier–Stokes equations for in- compressible flow in 3D (from which the Euler equations can be ...analogous equations in d-dimensions for d ≥ 2 can be derived ...Navier–Stokes ...
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Optimization with the time-dependent Navier-Stokes equations as constraints
... The paper is organized as follows. In Section 2, we will briefly review some theory in optimal control of the Navier-Stokes equations. Section 3 gives details of the op- timization method applied for the ...
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Mixed formulation for navier stokes equations
... The Navier–Stokes equations are also of great interest in a purely mathematical sense. Surprisingly, given their wide range of practical uses, mathematicians have not yet proven that, in three dimensions, ...
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On the Reynolds-averaged Navier-Stokes Equations
... Navier-Stokes- Equations (RANS) has been formulated for more 100 years, unfortunately, all current literature have a wrong understanding on the numbers of ...
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ON COUPLED SYSTEM OF NAVIER-STOKES EQUATIONS AND TEMPERATURE IN INFINITE CHANNEL
... Navier-Stokes equations and temperature (Thermohydraulics) in a strip in the class of spatially non-decaying (infinite-energy) solutions belonging to the properly chosen uniformly local Sobolev ...
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An augmented approach for Stokes equations with discontinuous viscosity and singular forces
... fast Stokes solver on irregular domains based on an integral equation approach [1, 5] which may be applied to the two-phase Stokes flow discussed ...Navier-Stokes equations is a time dependent ...
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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
... Navier-Stokes equations; Section 3 assumes that the solutions of Navier-Stokes equa- tions in the boundary layer can be made Taylor expansion with respect to transverse variable, derive the ...
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The Compressible Navier Stokes Equations with Weak Viscosity and Heat Conductivity
... Navier-Stokes equations are a fundamental model aimed at describing the motion of an incompressible viscous ...Navier-Stokes equations with viscosity and heat conductivity coefficients of ...
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Analysis of the Navier Stokes Equations
... Navier-Stokes equations, the equation of continuity and equations of the relevant boundary conditions can be represented by the perturbation theory in dependence of a dimensionless parameter, which ...
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CONTINUITY AND MOTION (NAVIER-STOKES) EQUATIONS
... of equations of continuity and motion (Navier-Stokes), the latter by means of the Bernoulli and Euler equations (a particular case of the Navier-Stokes ...the equations of motion are ...
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