Tous nos rayons

Déjà client ? Identifiez-vous

Mot de passe oublié ?

Nouveau client ?

CRÉER VOTRE COMPTE
The Unity of Mathematics
Ajouter à une liste

Librairie Eyrolles - Paris 5e
Indisponible

The Unity of Mathematics

The Unity of Mathematics

In Honor of the Ninetieth Birthday of I.M. Gelfand

Pavel Etingof, Vladimir Retakh, I.M. Singer - Collection Progress in Mathematics

654 pages, parution le 31/01/2006

Résumé

Homogenization is a method for modeling processes in microinhomogeneous media, which are encountered in radiophysics, filtration theory, rheology, elasticity theory, and other domains of mechanics, physics, and technology. These processes are described by PDEs with rapidly oscillating coefficients or boundary value problems in domains with complex microstructure. From the technical point of view, given the complexity of these processes, the best techniques to solve a wide variety of problems involve constructing appropriate macroscopic (homogenized) models.

The present monograph is a comprehensive study of homogenized problems, based on the asymptotic analysis of boundary value problems as the characteristic scales of the microstructure decrease to zero. The work focuses on the construction of nonstandard models: non-local models, multicomponent models, and models with memory.

Along with complete proofs of all main results, numerous examples of typical structures of microinhomogeneous media with their corresponding homogenized models are provided. Graduate students, applied mathematicians, physicists, and engineers will benefit from this monograph, which may be used in the classroom or as a comprehensive reference text.

Written for: Graduate students, researchers, applied mathematicians, math physicists, physicists, engineers, specialists in mechanics

Sommaire

  • Introduction
  • The Dirichlet Boundary Value Problem in Strongly Perforated Domains with Fine-Grained Boundary
  • The Dirichlet Boundary Value Problem in Strongly Perforated Domains with Complex Boundary
  • Strongly Connected Domains
  • The Neumann Boundary Value Problems in Strongly Perforated Domains
  • Nonstationary Problems and Spectral Problems
  • Differential Equations with Rapidly Oscillating Coefficients
  • Homogenized Conjugation Conditions
  • References
Voir tout
Replier

Caractéristiques techniques

  PAPIER
Éditeur(s) Birkhäuser
Auteur(s) Pavel Etingof, Vladimir Retakh, I.M. Singer
Collection Progress in Mathematics
Parution 31/01/2006
Nb. de pages 654
Format 16 x 24
Couverture Relié
Poids 1020g
Intérieur Noir et Blanc
EAN13 9780817640767
ISBN13 978-0-8176-4076-7

Avantages Eyrolles.com

Livraison à partir de 0,01 en France métropolitaine
Paiement en ligne SÉCURISÉ
Livraison dans le monde
Retour sous 15 jours
+ d'un million et demi de livres disponibles
satisfait ou remboursé
Satisfait ou remboursé
Paiement sécurisé
modes de paiement
Paiement à l'expédition
partout dans le monde
Livraison partout dans le monde
Service clients 0 321 79 56 75 sav@commande.eyrolles.com
librairie française
Librairie française depuis 1925