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[PDF] Top 20 On the homogenization of the Stokes problem in a perforated domain

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On the homogenization of the Stokes problem in a perforated domain

On the homogenization of the Stokes problem in a perforated domain

... given. The closely related problem of periodic homogenization of the Stokes equations in a bounded domain perforated by tiny holes is ... Voir le document complet

49

Homogenization of the Stokes system in a non-periodically perforated domain

Homogenization of the Stokes system in a non-periodically perforated domain

... of the homogenization theory such as correctors (Theorem ...rates of convergence of u ε to its limit when f is smooth, compactly supported and div(Af ) = 0 where A is the ... Voir le document complet

33

Lp estimates for the homogenization of stokes problem in a perforated domain

Lp estimates for the homogenization of stokes problem in a perforated domain

... u in L p -spaces (for p < 6) up to the extraction of a ...herein in providing a quantitative estimate of the convergence of u N to ¯ ...This ... Voir le document complet

29

Mortar spectral element discretization of the Stokes problem in axisymmetric domains

Mortar spectral element discretization of the Stokes problem in axisymmetric domains

... models the laminar flow of a viscous incompressible fluid in a domain ˘ Ω, when subjected to a density of forces ˘ f and with boundary data ˘ g, the unknowns ... Voir le document complet

30

The periodic unfolding for a Fredholm alternative in perforated domains

The periodic unfolding for a Fredholm alternative in perforated domains

... to the case of the Fredholm alternative (they do not appear, for example, in [2] and [4]) and the main contribution of this paper is to give a way to overcome ...1.12, ... Voir le document complet

20

Second order corrector in the homogenization of a conductive-radiative heat transfer problem

Second order corrector in the homogenization of a conductive-radiative heat transfer problem

... to a large variety of physical prob- lems, our work is motivated by the study of gas-cooled nuclear reactors which are one of the possible concepts for the 4th generation ... Voir le document complet

41

On the derivation of a Stokes-Brinkman problem from Stokes equations around a random array of moving spheres

On the derivation of a Stokes-Brinkman problem from Stokes equations around a random array of moving spheres

... to the forcing term in the Vlasov equation and the corresponding term ...(1.1) in the Navier-Stokes system is obtained by assuming that the forces induced by ... Voir le document complet

44

A domain decomposition preconditioner of Neumann-Neumann type for the Stokes equations

A domain decomposition preconditioner of Neumann-Neumann type for the Stokes equations

... to the Stokes problem with ...by the fact that in some sense the domain decom- position methods for Stokes are less optimal than the domain ... Voir le document complet

9

Homogenization of a Dirichlet semilinear elliptic problem with a strong singularity at u = 0 in a domain with many small holes

Homogenization of a Dirichlet semilinear elliptic problem with a strong singularity at u = 0 in a domain with many small holes

... generalization of) the one studied by D. Cioranescu and F. Murat in [3] (see also [15] and [5]); it will be described in details in Subsection 2 ...that in (1.0 ε ) the ... Voir le document complet

36

Vorticity and stream function formulations for the 2d Navier-Stokes equations in a bounded domain

Vorticity and stream function formulations for the 2d Navier-Stokes equations in a bounded domain

... parts. The other sticking point is that the boundary value problem ...ting the reconstruction of the stream function from the vorticity is overdetermined since the ... Voir le document complet

67

On the inviscid limit for the compressible Navier-Stokes system in an impermeable bounded domain.

On the inviscid limit for the compressible Navier-Stokes system in an impermeable bounded domain.

... In the sequel we adapt this strategy to the compressible case. In this setting the existence of global weak solutions of the Navier-Stokes equations is known ... Voir le document complet

14

Homogenization of a neutronic critical diffusion problem with drift

Homogenization of a neutronic critical diffusion problem with drift

... that the nuclear reactor core is periodic, i.e. all coe¯ cients A(y), § (y) and ¼ (y) are Y -periodic ...for the homogenization procedure. In particular, our results do not hold true ... Voir le document complet

29

The periodic unfolding method in perforated domains

The periodic unfolding method in perforated domains

... for the case of fixed domains). The aim of this paper is to adapt the method to the homogenization in domains with ...define in the upcoming section ... Voir le document complet

28

Deriving a new domain decomposition method for the Stokes equations using the Smith factorization

Deriving a new domain decomposition method for the Stokes equations using the Smith factorization

... give a short outline of the paper. In Section 2 we introduce the Stokes equa- ...on the two-dimensional case, these equations are transformed into a bi-harmonic ... Voir le document complet

28

Asymptotic analysis of a Neumann problem in a domain with cusp. Application to the collision problem of rigid bodies in a perfect fluid

Asymptotic analysis of a Neumann problem in a domain with cusp. Application to the collision problem of rigid bodies in a perfect fluid

... where the authors consider a three dimensional axisymmetric solid falling on a ...plane. The fluid is assumed to obey the stationary Stokes ...equations. The purpose ... Voir le document complet

45

Global existence of solutions to the incompressible Navier-Stokes-Vlasov equations in a time-dependent domain

Global existence of solutions to the incompressible Navier-Stokes-Vlasov equations in a time-dependent domain

... problems in the incompressible case have also been ...establish the global existence of strong solutions near the equi- librium for the incompressible ... Voir le document complet

19

Deriving a new domain decomposition method for the Stokes equations using the Smith factorization

Deriving a new domain decomposition method for the Stokes equations using the Smith factorization

... give a short outline of the paper. In Section 2 we introduce the Stokes equa- ...on the two-dimensional case, these equations are transformed to a bi-harmonic ... Voir le document complet

27

A Hybrid High-Order method for the steady incompressible Navier--Stokes problem

A Hybrid High-Order method for the steady incompressible Navier--Stokes problem

... studied in this work hinges on DOFs located at mesh elements and faces that are discontinuous polynomials of degree k ě ...reconstructions of the velocity and of its gradient that are ... Voir le document complet

25

Nash strategies for the inverse inclusion Cauchy-Stokes problem

Nash strategies for the inverse inclusion Cauchy-Stokes problem

... Figure 4: Test case A. Reconstruction of the inclusion shape and missing boundary data with noise free Dirichlet data over Γ c .(a) initial contour is φ (0) 2 (b) exact inclusion shape -green ... Voir le document complet

28

Spectral element discretization of the vorticity, velocity and pressure formulation of the Navier-Stokes problem

Spectral element discretization of the vorticity, velocity and pressure formulation of the Navier-Stokes problem

... (1.1), the unknowns are the vorticity of the fluid ω, its velocity u and its pressure ...proposed in [11] and [17] (see also [12] and [1]) and seems the best appropriate for ... Voir le document complet

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