Operational approach for biharmonic equations in Lp -spaces

International audienceIn this work, we study the existence, uniqueness and maximal L p-regularity of the solution of different biharmonic problems. We rewrite these problems by a fourth order operational equation and different boundary conditions, set in a cylindrical n-dimensional spatial region Ω of R n. To this end, we give an explicit representation formula, using analytic semigroups and invert explicitly a determinant operator in Lp-spaces thanks to H ∞-calculus and operator sums theory.Dans ce travail, on étudie l'existence, l'unicité et la régularité maximale, dans les espaces Lp, de la solution de différents problèmes bi-harmoniques. On réécrit ces problèmes grâce à une équation opérationnelle d'ordre quatre et différentes conditions aux bords, posées dans un domaine cylindrique spatial de dimension n Ω de R^n. Pour cela, on donne une formule de représentation explicite utilisant des semi-groupes analytiques et on inverse explicitement un déterminant opérateur dans les espaces Lp grâce au H∞-calcul et à la théorie des sommes d'opérateurs

Tape Casting Ceramics for High Temperature Fuel Cell Applications

International audienceRésumé du livre : This is the first book of a series of forthcoming publications on this field by this publisher. The reader can enjoy both a classical printed version on demand for a small charge, as well as the online version free for download. Your citation decides about the acceptance, distribution, and impact of this piece of knowledge. Please enjoy reading and may this book help promote the progress in ceramic development for better life on earth

Chapter Tape Casting Ceramics for High Temperature Fuel Cell Applications

Electricity, electromagnetism & magnetis

Chaos and plasticity in superconductor vortices: a low-dimensional dynamics

We present new results of numerical simulations for driven vortex lattices in presence of random disorder at zero temperature. We show that the plastic dynamics of vortices display dissipative chaos. Intermittency "routes to chaos" have been clearly identified below the differential resistance peak. The peak region is characterized by positive Lyapunov exponents characteristic of chaos, and low frequency broad-band noise. Furthermore we find a low fractal dimension of the strange attractor, which suggests that only a few dynamical variables are sufficient to model the complex plastic dynamics of vortices.Comment: 8 pages, 6 figures, accepted for publication in The Physical Review

Le bouquet d’amour. Lucienne de Judith Gautier

Judith Gautier només va escriure una novel·la sentimental, Lucienne, dedicada com totes les altres al conflicte entre l’amor i la virtut. Malgrat la seva superficial banalitat, aquesta història constitueix també una autobiografia transposada i una “defensa i il·lustració” de l’escriptura femenina

Atomic structure of "vitreous" interfacial films in sialon

Atomic resolution imaging of siliceous interfacial films in a sialon has been achieved using transmission electron microscopy at 1000 KV. Although such films have always been reputed as vitreous, we show that they are at least partially crystallized. An atomic model is proposed and simulated. The stability of these films is discussed when special crystallographic relationships exist between the two adjacent grains