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[PDF] Top 20 Local exact controllability for the 2 and 3-d compressible Navier-Stokes equations

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Local exact controllability for the 2 and 3-d compressible Navier-Stokes equations

Local exact controllability for the 2 and 3-d compressible Navier-Stokes equations

... phenomenon and its consequences on the controllability of compressible Navier-Stokes equations have been also developed and explained in the articles [25, 5, ... Voir le document complet

26

Local exact controllability for the 2 and 3-d compressible Navier-Stokes equations

Local exact controllability for the 2 and 3-d compressible Navier-Stokes equations

... phenomenon and its consequences on the controllability of compressible Navier-Stokes equations have been also developed and explained in the articles [25, 5, ... Voir le document complet

27

Local Exact Controllability for the One-Dimensional Compressible Navier–Stokes Equation

Local Exact Controllability for the One-Dimensional Compressible Navier–Stokes Equation

... in the context inviscid compressible ...since the compressible Euler equation is a hyperbolic system of conservation laws, the general result of Li and Rao [16] applies to it ... Voir le document complet

37

Local exact controllability for the 1-d compressible Navier-Stokes equations

Local exact controllability for the 1-d compressible Navier-Stokes equations

... a local exact controllability result around smooth target trajectory should be possible under a suitable geometric ...include the target flow in the Carleman weight ...on the ... Voir le document complet

15

A Geometric Method and Dimension Split Algorithm for The 3-D Compressible Navier-Stokes Equations in Turbomachine

A Geometric Method and Dimension Split Algorithm for The 3-D Compressible Navier-Stokes Equations in Turbomachine

... Unité de recherche INRIA Rocquencourt Domaine de Voluceau - Rocquencourt - BP 105 - 78153 Le Chesnay Cedex France Unité de recherche INRIA Lorraine : LORIA, Technopôle de Nancy-Brabois -[r] ... Voir le document complet

22

On the global wellposedness of the 3-D Navier-Stokes equations with large initial data

On the global wellposedness of the 3-D Navier-Stokes equations with large initial data

... functions and are small enough, then (N S) is globally wellposed in the sense that a global (and of course unique) solution exists in C(R + ; H 1 2 ...allows for very large data in ∂BM ... Voir le document complet

20

On strong $L^2$ convergence of time numerical schemes for the stochastic 2D Navier-Stokes equations

On strong $L^2$ convergence of time numerical schemes for the stochastic 2D Navier-Stokes equations

... On the other hand, we will also improve the rate of convergence from logarithmic to almost ...explain the method, the paper will deal with two different algorithms: the splitting scheme ... Voir le document complet

29

en
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en fr Small-time global exact controllability of the Navier-Stokes equation with Navier slip-with-friction boundary conditions Contrôlabilité globale exacte en temps petit de l'équation de Navier-Stokes avec des conditions au bord de Navier de glissement avec frottement

... controllable). The profile u 1,ε now depends on ε. However, since the reference trajectory belongs to C ∞ , all required estimates can be made independent on ...solves the usual first-order system ( 26 ... Voir le document complet

36

Remarks on the Cauchy problem for the axisymmetric Navier-Stokes equations

Remarks on the Cauchy problem for the axisymmetric Navier-Stokes equations

... study and yet contains interesting examples, such as circular vortex filaments or toroidal vortex ...rings. For the evolutions defined by both the Euler and the ... Voir le document complet

29

FVCA8 benchmark for the Stokes and Navier-Stokes equations with the TrioCFD code – benchmark session

FVCA8 benchmark for the Stokes and Navier-Stokes equations with the TrioCFD code – benchmark session

... sary. The meshes are taken from the GitHub repository [1] and converted to one for- mat suited for TrioCFD (med ...of the benchmarks will be presented as mentioned in Ref. ... Voir le document complet

21

Towards optimized Schwarz methods for the Navier-Stokes equations

Towards optimized Schwarz methods for the Navier-Stokes equations

... in the 2-D (x, z) case. Extending it to the 3-D case would be a direct extension of the present work, which would make the derivation of the approximations more complex, ... Voir le document complet

23

Numerical methods for the Stokes and Navier-Stokes equations driven by threshold slip boundary conditions

Numerical methods for the Stokes and Navier-Stokes equations driven by threshold slip boundary conditions

... 2 PRELIMINARIES AND WEAK FORMULATIONS 5 where ∂| · | is the sub-differential of the real valued function | · | with |w| 2 = w · ...as the blood flow in a vein of an arterial ... Voir le document complet

35

On the controllability of the hydrostatic Stokes equations

On the controllability of the hydrostatic Stokes equations

... • The local exact controllability of the hydrostatic Navier-Stokes ...on the study of the exact null controllability of a linearized problem, ... Voir le document complet

23

Global bmo −1 (R N ) radially symmetric solution for compressible Navier-Stokes equations with initial density in L ∞ (R N )

Global bmo −1 (R N ) radially symmetric solution for compressible Navier-Stokes equations with initial density in L ∞ (R N )

... that the previous result have been extended to general parabolic equations with quadratic nonlinearities including the particular case of the Navier Stokes equations when ... Voir le document complet

60

The incompressible Navier-Stokes equations on non-compact manifolds

The incompressible Navier-Stokes equations on non-compact manifolds

... k 2 L 2 . Indeed, multiplying u in (15) and then integrating on M by part combining with the Bochner identity ...verify the energy inequality. Nevertheless we expect at least the ... Voir le document complet

36

A variational approach to the Navier-Stokes equations

A variational approach to the Navier-Stokes equations

... 2 Notation and preliminaries With T d we denote the d−dimensional flat torus R d /Z d ...∞) 3 (t, x) 7→ u t (x) ∈ R d will be typically denoted by (u t ), while we write u t for ... Voir le document complet

24

Global existence of solutions for the coupled Vlasov and Navier-Stokes equations

Global existence of solutions for the coupled Vlasov and Navier-Stokes equations

... )×T 3 ×R 3 ) ≤ e 3T kf in k L ∞ (T 3 ×R 3 ) ...1. The proof of Thm. 1 is split into three main steps. In the first one, we build a sequence of approximated solutions where ... Voir le document complet

18

Optimal shape control of airfoil in compressible gas flow governed by Navier-Stokes equations

Optimal shape control of airfoil in compressible gas flow governed by Navier-Stokes equations

... technique for shape sensitivity analysis of work functional Beside the existence of an optimal obstacle for the work, lift and drag shape optimization problems [6], it is important ... Voir le document complet

21

Splitting up method for the 2D stochastic Navier-Stokes equations

Splitting up method for the 2D stochastic Navier-Stokes equations

... Section 2 describes the properties on the hydrodynamical models, the noise, the assumptions on the diffusion coefficients ensuring well-posedeness of the solution in ... Voir le document complet

29

Wellposedness and stability results for the Navier-Stokes equations in ${\mathbf R}^{3}$

Wellposedness and stability results for the Navier-Stokes equations in ${\mathbf R}^{3}$

... [1] for the case of BM O −1 ...where the perturbation is as large as the initial data but has a special form: it consists in the superposition of dilated and translated ... Voir le document complet

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