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《Comptes Rendus de l'Academie des Sciences Series IIA Earth and Planetary Science》1998,326(4):525-530
We study the well-posedness of a steady stale problem: we consider a two-dimensional viscous incompressible flow, which is modeled bv the Navier-Stokes equations. The structure is a rigid moving disc. The fluid domain depends on time and is defined by the position of the structure, itself resulting from a stress distribution coming from the fluid. The problem is then nonlinear and the equations we deal with are coupled. We prove its local solvability in time though two fixed point procedures. 相似文献
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《Journal de Mathématiques Pures et Appliquées》2002,81(7):603-640
In this paper, we study the monodromy of the ramified Cauchy problem for operators with multiple characteristics of constant multiplicity. More precisely, we give an estimation of the eigenvalues of the solution's monodromy, first with the assumptions of the theorem of Hamada–Leray–Wagschal, then with the assumptions of the theorem of Leichtnam. 相似文献
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《Comptes Rendus de l'Academie des Sciences Series IIA Earth and Planetary Science》1997,324(2):159-164
The purpose of this Note is to study the dynamic of a problem of mass and heat transfer in the presence of a chemical reaction. 相似文献
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For given systems of differential operators of constant coefficients we give algebraic conditions to compare their spaces of Gevrey vectors. 相似文献
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《Comptes Rendus de l'Academie des Sciences Series IIA Earth and Planetary Science》1999,328(10):847-852
The Bérenger perfectly matched layer is used in computational electromagnetism as an absorbing layer in scattering problems. It raises delicate mathematical issues. In this Note we show, for regular data, the existence and uniqueness of strong solutions to the Cauchy problem derived from the PML method. The result is presented in the 2-D case. The key to the proof is an appropriate control of a mixed H1- L2 norm of the solution by the same norm of the initial data. Beside a paper is in preparation about extensions of this results (L2 estimates, 3-D case) (see also [5]). 相似文献
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《Comptes Rendus de l'Academie des Sciences Series IIA Earth and Planetary Science》1998,326(5):651-656
We study the well-posedness of a steady-state problem: we consider a two-dimensional viscous incompressible flow, which is modeled by the Stokes equations. The structure is monodimensional and the equations describing the behaviour of elastic medium are beam equations. The fluid domain is defined by the shape of the structure function, itself resulting from a stress distribution coming from the fluid. The problem is thus nonlinear and the equations we deal with are coupled. We prove its solvability through Schauder's fixed point theorem. 相似文献
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J. Wu 《Monatshefte für Mathematik》1994,117(3-4):303-322
Let (n) be the number of all prime divisors ofn and (n) the number of distinct prime divisors ofn. We definev
q
(x)=|{nx(n)–(n)=q}|. In this paper, we give an asymptotic development ofv
q
(x); this improves on previous results. 相似文献
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Dominique Barbolosi 《Monatshefte für Mathematik》1999,28(4):189-200
For any irrational , let denote the regular continued fraction expansion of x and define f, for all z > 0 by and by J. GALAMBOS proved that (μ the Gauss measure)
In this paper, we first point out that for all , ( has no limit for for almost all , proving more precisely that: For all , one has for almost all
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Dominique Barbolosi 《Monatshefte für Mathematik》1999,128(3):189-200
For any irrational , let denote the regular continued fraction expansion of x and define f, for all z > 0 by and by J. GALAMBOS proved that (μ the Gauss measure)
In this paper, we first point out that for all , ( has no limit for for almost all , proving more precisely that: For all , one has for almost all
Then we prove mainly the more precise result: For all , the sequence has no subsequence which converges almost everywhere.
(Re?u le 4 mai 1998; en forme révisée le 25 février 1999) 相似文献