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11 papers · 1 filter
Entropy boundary layers
Franck Sueur
We consider the Euler system of compressible and entropic gaz dynamics in a bounded open domain with wall boundary condition. We prove the existence and the stability of families o…
Navier-Stokes equations in arbitrary domains : the Fujita-Kato scheme
Sylvie Monniaux
Navier-Stokes equations are investigated in a functional setting in 3D open sets, bounded or not, without assuming any regularity of the boundary. The main idea is to find a correc…
Weak logarithmic Sobolev inequalities and entropic convergence
Patrick Cattiaux, Ivan Gentil, Arnaud Guillin
In this paper we introduce and study a weakened form of logarithmic Sobolev inequalities in connection with various others functional inequalities (weak Poincaré inequalities, gene…
Centre, commutativite et conjugaison dans un graphe de groupe
Jean-Philippe Preaux
We give characterizations of the center, of conjugated and of commuting elements in a fundamental group of a graph of group. We deduce various results : on the one hand we give a s…
Stationary processes whose filtrations are standard
X. Bressaud, A. Maass, S. Martinez +1
We study the standard property of the natural filtration associated to a 0--1 valued stationary process. In our main result we show that if the process has summable memory decay, t…
Pairs of SAT Assignment in Random Boolean Formulae
Hervé Daudé, Marc Mezard, Thierry Mora +1
We investigate geometrical properties of the random K-satisfiability problem using the notion of x-satisfiability: a formula is x-satisfiable if there exist two SAT assignments dif…