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31.
32.
The purpose of this Note is to propose new diffusive capillary models of Korteweg type and discuss their mathematical properties. More precisely, we introduce viscous models which provide some additional information on the behavior of the density close to vacuum. We actually prove that if some compatibility conditions between diffusion and capillarity are satisfied, some extra regularity information on a quantity involving the density is available. We obtain a non-trivial equality deduced from the special structure of the momentum equation. This Note generalizes to some extent the authors' previous works on the Korteweg model (with constant capillary coefficient) and on the shallow water equation. To cite this article: D. Bresch, B. Desjardins, C. R. Mecanique 332 (2004). 相似文献
33.
34.
J. P. Brasselet G. Gonzalez-Sprinberg 《Bulletin of the Brazilian Mathematical Society》1986,17(2):23-50
Résumé SoitS une variété algébrique complexe singulière, de dimension réelle 2s. M.H. Schwartz et R. Mac-Pherson ont défini des classes
caractéristiques, généralisation des classes de Chern, dans l'homologie deS (de telles classes n'existent pas en cohomologie). D'autre part l'homomorphisme de PoincaréH
2s−⋆
(S)→H
⋆
(S) n'est en géneral, ni injectif, ni surjectif. Cet homomorphisme se factorise par l'homologie d'intersectionIH
⋆
(S). Il est naturel de se demander quel est le “comportement” des classes deS (classes de M.H. Schwartz-R. Mac-Pherson) vis-à-vis du morphisme canonique α:IH
⋆(S)→H⋆(S). J. L. Verdier a construit un exemple dans lequel, le morphisme canonique α n'étant pas injectif, les classes deS peuvent ètre réalisées de plusieurs manières comme images de classes de Chern de variétés lisses, désingularisations deS, et dont l'homologie est isomorphe àIH
⋆
(S). M. Goresky a construit une variation de cet exemple dans laquelle les classes de Chern ne sont pas dans l'image de α. Nous
montrons que ces deux exemples sont cas particuliers d'une même situation:S est un espace de Thom associé à un plongement d'une variétéB dans un espaceIP
k
.
L'essentiel de cet article a été écrit lors d'un séjour des auteurs à l'Université du Rio Grande do Sul (Porto-Alegre-Brésil),
sur invitation de M. Sebastiani. Nous le remercions ici, ainsi que l'Université de Porto-Alegre, de leur accueil et de leur
hospitalité
相似文献
35.
We consider the homogenization of a time-dependent heat transfer problem in a highly heteregeneous periodic medium made of two connected components having finite heat capacities cα(x) and heat conductivities aα(x), α=1,2, of order one, separated by a third material with thickness of order ε the size of the basic periodicity cell, but with conductivity λa3(x) where a3=O(1) and λ tends to zero with ε. Assuming only that ci(x)?0 a.e., such that the problem can degenerate (parabolic-elliptic), we identify the homogenized problem following the values of δ=limε→0ε2/λ. To cite this article: M. Mabrouk, A. Boughammoura, C. R. Mecanique 331 (2003). 相似文献
36.
We present low complexity models for the transport of passive scalars for environmental applications. The model uses partial observations assimilation. Similitude solutions are proposed in a non symmetric metric based on travel times. The approach does not require the solution of any PDE and is mesh free. Also, the solution can be computed in one point only without computing the whole solution. To cite this article: B. Mohammadi, J.-M. Brun, C. R. Mecanique 334 (2006). 相似文献
37.
Fabienne Jézéquel 《Comptes Rendus Mecanique》2006,334(6):362-367
The numerical result provided by an approximation method is affected by a global error, which consists of both a truncation error and a round-off error. Let us consider the converging sequence generated by successively dividing by two the step size used. If computations are performed until, in the convergence zone, the difference between two successive approximations is only due to round-off errors, then the global error on the result obtained is minimal. Furthermore its significant bits which are not affected by round-off errors are in common with the exact result, up to one. To cite this article: F. Jézéquel, C. R. Mecanique 334 (2006). 相似文献
38.
Hantanirina Ranarivelo 《Comptes Rendus Mecanique》2002,330(4):273-278
We propose a way for determining the generalized coefficients of rigidity – some of which are membrane/bending coupling coefficients – which appear in the deformation energy of the Koiter model of thin shells. This is concerned with a heterogeneous material in the thickness direction. A new program to compute these coefficients is implemented in the finite element code Modulef, in order to simulate problems of thin multilayered shells with linearly elastic anisotropic layers. We propose an example of an inhibited multilayered thin shell, with hyperbolic middle surface, involving a composite material with unidirectional fibres. To cite this article: H. Ranarivelo, C. R. Mecanique 330 (2002) 273–278. 相似文献
39.
Antoine Sellier 《Comptes Rendus Mecanique》2003,331(6):401-406
Particle–boundary and particle–particle interactions in Electrophoresis are examined by considering a 2-particle cluster near a plane boundary. The advocated treatment holds for two insulating particles of arbitrary shapes and zeta potential functions and resorts to 13 boundary-integral equations. Preliminary results reveal that, depending upon the addressed velocity nature (translational or angular), wall–particle may be stronger or weaker than particle–particle interactions. To cite this article: A. Sellier, C. R. Mecanique 331 (2003). 相似文献
40.
In order to preserve the physical properties of the flow (scaling laws, conservation laws, …) during the simulation, a class of subgrid models respecting the symmetry group of the Navier–Stokes equations is built. The class is then refined such that models satisfy the second law of thermodynamics and are suited to take into account the inverse energy cascade. A simple model belonging to the class is tested and a better result than those provided by Smagorinsky and dynamic models is obtained. To cite this article: D. Razafindralandy, A. Hamdouni, C. R. Mecanique 333 (2005). 相似文献