EuDML | Browse

Displaying 21 – 31 of 31

Profile decomposition for solutions of the Navier-Stokes equations

Isabelle Gallagher (2001)

Bulletin de la Société Mathématique de France

We consider sequences of solutions of the Navier-Stokes equations in $ℝ^{3}$ , associated with sequences of initial data bounded in ${\dot{H}}^{1 / 2}$ . We prove, in the spirit of the work of H.Bahouri and P.Gérard (in the case of the wave equation), that they can be decomposed into a sum of orthogonal profiles, bounded in ${\dot{H}}^{1 / 2}$ , up to a remainder term small in $L^{3}$ ; the method is based on the proof of a similar result for the heat equation, followed by a perturbation–type argument. If $𝒜$ is an “admissible” space (in particular ...

Prolongement à la frontière des solutions du problème des dérivées obliques

Jean-Michel Bony (1977)

Journées équations aux dérivées partielles

Propagation de singularités pour des équations hyperboliques non linéaires

Jean-Michel Bony (1978)

Journées équations aux dérivées partielles

Propagation of space moments in the Vlasov-Poisson equation and further results

F. Castella (1999)

Annales de l'I.H.P. Analyse non linéaire

Properties of normal boundary problems for elliptic even-order systems

Gerd Grubb (1974)

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

Propriété des itérés et ellipticité

Guy Métivier (1978)

Journées équations aux dérivées partielles

Propriétés de certaines solutions d'inégalité aux dérivées partielles de type parabolique

J. Chabrowski, G. Reynaud (1975)

Annales Polonici Mathematici

Propriétés de moyenne pour les solutions de systèmes elliptiques

Jacqueline Détraz (1993)

Publicacions Matemàtiques

In this article, we consider the set F of functions annihilated by a uniformly elliptic system S in an open set Ω of Rn.We show that, as in the case of harmonic functions, F satisfies a submean-property, first for p=2 by elliptic estimates, then for all p > 0:|∇k u(x)|p ≤ C / (rn+kp) ∫B(x,r) |u(y)|p dyfor each u in F, each k > 0 and every ball B(x,r) included in Ω.As a consequence, we can compare ||u||Lp(Ω) and ||∇ku||Lp(Ω,δkp) where δ is the distance to the boundary of Ω, under the...

Propriétés des courbes intégrales de champs de vecteurs et estimations ponctuelles d'équation elliptiques dégénérés

B. Franchi (1983/1984)

Séminaire Équations aux dérivées partielles (Polytechnique)

Pseudo-differential operators with positive symbols

C. Fefferman, D. H. Phong (1980/1981)

Séminaire Équations aux dérivées partielles (Polytechnique)

Pseudo-spectrum for a class of semi-classical operators

Karel Pravda-Starov (2008)

Bulletin de la Société Mathématique de France

We study in this paper a notion of pseudo-spectrum in the semi-classical setting called injectivity pseudo-spectrum. The injectivity pseudo-spectrum is a subset of points in the complex plane where there exist some quasi-modes with a precise rate of decay. For that reason, these values can be considered as some ‘almost eigenvalues’ in the semi-classical limit. We are interested here in studying the absence of injectivity pseudo-spectrum, which is characterized by a global a priori estimate. We prove...

Displaying 21 – 31 of 31

Currently displaying 21 – 31 of 31