Multiscale Problems in Science and Technology

Challenges to Mathematical Analysis and Perspectives

N. Antonic, C.J. Van Duijn, Willi Jager

306 pages, parution le 08/07/2002

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Résumé

These are the proceedings of the conference "Multiscale Problems in Science and Technology" held in Dubrovnik, Croatia, 3-9 September 2000. The objective of the conference was to bring together mathematicians working on multiscale techniques (homogenisation, singular pertubation) and specialists from the applied sciences who need these techniques and to discuss new challenges in this quickly developing field. The idea was that mathematicians could contribute to solving problems in the emerging applied disciplines usually overlooked by them and that specialists from applied sciences could pose new challenges for the multiscale problems. Topics of the conference were nonlinear partial differential equations and applied analysis, with direct applications to the modeling in material sciences, petroleum engineering and hydrodynamics

Contents

Mathematical Tools for Studying Oscillations and Concentrations
Statistical Mechanics of Violent Relaxation in Stellar Systems
On the Role of Interface Energies in the Description of Material Behavior
Projection Generated Homogenization
Derivation of the Diphasic Biot's Law
Mesoscopic Models of Reaction-Di.usion Processes with Exclusion Mechanism
Two-Scale Models for Liquid-Solid Phase Transitions in Binary Material with Equiaxed Microstructure
Asymptotic Behaviour of the Incompressible Newtonian Flow Through Thin Constricted Fracture
Finite Dimensional Approximations for Elliptic Problems with Rapidly Oscillating Coefficients
The Failure of Uniform Exponential Decay for Boundary Layers
Homogenization of Random Nonstationary Convection-Diffusion Problem
Remarks on Г- Convergence of Penalized Functionals of Ginzburg-Landau Type in one Dimension
Homogenization of a Free Boundary Problem: the no-Slip Condition
Radiative Transfer with Many Spectral Lines
Selected abstracts

Caractéristiques techniques

	PAPIER
Éditeur(s)	Springer
Auteur(s)	N. Antonic, C.J. Van Duijn, Willi Jager
Parution	08/07/2002
Nb. de pages	306
Format	15,5 x 23,5
Couverture	Broché
Poids	502g
Intérieur	Noir et Blanc
EAN13	9783540435846