Displaying similar documents to “Non-autonomous 2D Navier–Stokes system with a simple global attractor and some averaging problems”

Space-time variational saddle point formulations of Stokes and Navier–Stokes equations

Rafaela Guberovic, Christoph Schwab, Rob Stevenson (2014)

ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique

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The instationary Stokes and Navier−Stokes equations are considered in a simultaneously space-time variational saddle point formulation, so involving both velocities u and pressure . For the instationary Stokes problem, it is shown that the corresponding operator is a linear mapping between and H', both Hilbert spaces and being Cartesian products of (intersections of) Bochner spaces, or duals of those. Based on these results, the operator...

Stabilization of a non standard FETI-DP mortar method for the Stokes problem

E. Chacón Vera, T. Chacón Rebollo (2014)

ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique

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In a recent paper [E. Chacón Vera and D. Franco Coronil, 20 (2012) 161–182.] a non standard mortar method for incompressible Stokes problem was introduced where the use of the trace spaces and H and a direct computation of the pairing of the trace spaces with their duals are the main ingredients. The importance of the reduction of the number of degrees of freedom leads naturally to consider the stabilized version and this is the results we present in this...

Low Mach number limit for viscous compressible flows

Raphaël Danchin (2010)

ESAIM: Mathematical Modelling and Numerical Analysis

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In this survey paper, we are concerned with the zero Mach number limit for compressible viscous flows. For the sake of (mathematical) simplicity, we restrict ourselves to the case of fluids and we assume that the flow evolves in the whole space or satisfies periodic boundary conditions. We focus on the case of . Hence highly oscillating acoustic waves are likely to propagate through the fluid. We nevertheless state the convergence to the incompressible Navier-Stokes equations...

Uniform local null control of the Leray-α model

Fágner D. Araruna, Enrique Fernández-Cara, Diego A. Souza (2014)

ESAIM: Control, Optimisation and Calculus of Variations

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This paper deals with the distributed and boundary controllability of the so called Leray- model. This is a regularized variant of the Navier−Stokes system ( is a small positive parameter) that can also be viewed as a model for turbulent flows. We prove that the Leray- equations are locally null controllable, with controls bounded independently of . We also prove that, if the initial data are sufficiently small, the controls converge as → 0 to a null control of the Navier−Stokes equations....