Equation de Navier-Stokes avec densité et viscosité variables dans l’espace critique.
H. Abidi (2007)
Revista Matemática Iberoamericana
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H. Abidi (2007)
Revista Matemática Iberoamericana
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Taoufik Hmidi (2006)
Revista Matemática Iberoamericana
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In this paper, we study the singular vortex patches in the two-dimensional incompressible Navier-Stokes equations. We show, in particular, that if the initial vortex patch is C outside a singular set Σ, so the velocity is, for all time, lipschitzian outside the image of Σ through the viscous flow. In addition, the correponding lipschitzian norm is independent of the viscosity. This allows us to prove some results related to the inviscid limit for the geometric structures of the vortex...
Pierre Gilles Lemarié-Rieusset (2006)
Revista Matemática Iberoamericana
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We study a multilinear fixed-point equation in a closed ball of a Banach space where the application is 1-Lipschitzian: existence, uniqueness, approximations, regularity.
Gérard Bourdaud, Yves Meyer (2006)
Revista Matemática Iberoamericana
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Emmanuel Royer, Jie Wu (2005)
Revista Matemática Iberoamericana
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Frédéric Touzet (2003)
Publicacions Matemàtiques
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Using the description of non solvable dynamics by Nakai, we give in this paper a new proof of the rigidity properties of some sub-groups of Diff(C, O). The Cinfinity case is also considered here.
Guy Casale (2006)
Publicacions Matemàtiques
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In 2001, B. Malgrange defines the D-envelope or galoisian envelope of an analytical dynamical system. Roughly speaking, this is the algebraic hull of the dynamical system. In this short article, the D-envelope of a rational map R: P1 --> P1 is computed. The rational maps characterised by a finitness property of their D-envelope appear to be the integrable ones.
Alano Ancona (2007)
Publicacions Matemàtiques
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Using rather elementary and direct methods, we first recover and add on some results of Aikawa-Hirata-Lundh about the Martin boundary of a John domain. In particular we answer a question raised by these authors. Some applications are given and the case of more general second order elliptic operators is also investigated. In the last parts of the paper two potential theoretic results are shown in the framework of uniform domains or the framework of hyperbolic manifolds.
Zoghman Mebkhout (2003)
Revista Matemática Iberoamericana
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In this lecture we introduce the reader to the proof of the p-adic monodromy theorem linking the p-adic differential equations theory and the local Galois p-adic representations theory.
Rafik Meziani, Paulo Sad (2007)
Publicacions Matemàtiques
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This paper presents a classification of plane dicritical nilpotent singularities, i.e. singularities which have nilpotent linear part and infinitely many separatrices. In particular the existence of meromorphic first integrals is discussed. The same ideas are applied to other kind of dicritical singularities.