2D Navier-Stokes equations
Pullback attractors of 2D Navier-Stokes equations with weak damping and continuous delay
... 20. Hopf, E: Über die Anfangswertaufgable für die hydrodynamischen Grundgleichungen. Math. Nachr. 4, 213-231 (1951) 21. Sell, GR: Global attractors for the three-dimensional Navier-Stokes equations. ...
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Pullback attractors of 2D Navier-Stokes-Voigt equations with delay on a non-smooth domain
... Under suitable hypotheses on the continuous delay, distributed delay, and the initial data in this paper, the large-time behavior for the 2D Navier-Stokes-Voigt equations with continuous delay ...
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Large deviations principle for the invariant measures of the 2D stochastic Navier-Stokes equations on a torus
... The result from Lemma 5.3 is also true for the stochastic Navier-Stokes equations with multiplicative noise (5.3) provided w is a cylindrical Wiener process on some separable Hilbert space K and a ...
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Dynamically Correct Formulations of the Linearised Navier-Stokes Equations
... An approach which avoids constructing large-scale system matrices and lends itself to exposing the potentially low-order nature of a fluid flow was proposed in [17, 15] and was applied to 2D channel flow. Finite ...
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Load Balancing for the Numerical Solution of the Navier-Stokes Equations
... chain, 2D-mesh, nD-mesh, ring, 2D-torus, nD-torus and nD-hypercube, optimal values for the parameter τ that maximize the convergence rate have been derived by Xu and Lau [23, ...
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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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The Boundary Layer Equations and a Dimensional Split Method for Navier Stokes Equations in Exterior Domain of a Spheroid and Ellipsoid
... layer equations for u p 1 , 0 = p ℑ on the surface will be established using local semi-geodesic coordinate system based on the surface, provide the computational formula for the drag func- ...dimensional ...
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The Global Attractors of the Solution for 2D Maxwell Navier Stokes with Extra Force Equations
... Maxwell-Navier-Stokes equations have been studied extensively, and the studies have obtained many achievements [1] ...Maxwell-Navier-Stokes equations are a coupled system of ...
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Invariant measure for the stochastic Navier-Stokes equations in unbounded 2D domains
... dimensional Navier-Stokes equations with additive ...Differential Equations, this approach has been successfully implemented by Da Prato and Debussche for 2 dimensional ...
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Global Existence and Large Time Asymptotic Behavior of Strong Solution to the Cauchy Problem of 2D Density Dependent Boussinesq Equations with Vacuum
... the 2D Boussinesq equations act as a lower-dimensional model of the 3D hydrodynamics equations and can be ori- ginated from the conservation laws of mass, energy and momentum (see ...The 2D ...
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Random Attractors for the Stochastic Navier–Stokes Equations on the 2D Unit Sphere
... Complex three dimensional flows in the atmosphere and oceans are modelled assuming that the Earth’s surface is an approximate sphere. Then it is natural to model the global atmospheric circulation on Earth (and large ...
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Invariant measure for the stochastic Navier-Stokes equations in unbounded 2D domains
... The aim of the current work is to show that the approach worked out in [19] combined with the method of proving the existence of Stochastic Navier-Stokes Equations in general domains dev[r] ...
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Navier Stokes Equations—Millennium Prize Problems
... the Navier-Stokes ...the Navier-Stokes equations, which suggest the global solvability of the Cauchy problem for the Navier-Stokes ...nonlinear equations with ...
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On suboptimal control strategies for the Navier-Stokes equations
... Here we present numerical computations related to the approaches presented in the previous paragraphs. As the flow configuration we choose the two dimen- sional backward facing step. The optimization objective is the ...
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Entropy consistent methods for the Navier Stokes Equations
... By choosing the averaged quantities as given in'Appendix 1", the discrete inviscid fluxes conserve the inviscid part of entropy U; as shown in Ismail and Roe [8].. The remaining averaged[r] ...
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On a model for the Navier–Stokes equations using magnetization variables
... the Navier–Stokes equations, within families of related ...the Navier– Stokes equations in the magnetization variables formulation (3–4) may be worth- while, particularly given ...
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Numerical study on comparison of Navier-Stokes and Burgers equations
... quasi-4D Navier-Stokes equations as ...quasi-4D Navier-Stokes equations share the same exponent ...3D Navier-Stokes ...quasi-4D Navier-Stokes ...
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On some alternative formulations of the Euler and Navier Stokes equations
... In the first of these articles, Scheffer constructed a non-zero weak so- lution of the Euler equations with compact support on R × R 2 (space and time). Shnirelman proved a similar result on the torus T 2 , but ...
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Optimization with the time-dependent Navier-Stokes equations as constraints
... Here z is a given velocity of a target flow and α is a penalty parameter. It is assumed that J is bounded from below, weakly lower semi-continuous, twice Fr´ echet differen- tiable with locally Lipschitzean second ...
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The Peculiarity of Numerical Solving the Euler and Navier Stokes Equations
... One more problem of obtaining the generalized solution relates to the fact that the integrable structures with generalized solution are not initially given, and they are realized spontaneously in the process of ...
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