Multiscale Problems in Science and Technology : Challenges to Mathematical Analysis and Perspektives

Conference on Multiscale Problems in Science and Technology (2000 : Dubrovnik, Croatia); Antonic, N. (EDT); Van Duijn, C. J. (EDT); Jager, W. (EDT); Mikelic, A. (EDT)

ISBN 10: 3540435840 / ISBN 13: 9783540435846

Published by Springer, 2002

About this Item

Seller Inventory # 980763-n

Bibliographic Details

• Title: Multiscale Problems in Science and Technology : Challenges to Mathematical Analysis and Perspektives
• Publisher: Springer
• Publication Date: 2002
• Language: English
• ISBN 10: 3540435840
• ISBN 13: 9783540435846
• Binding: Soft cover
• Condition: New

About this title

Synopsis

The International conference on Multiscale problems in science and technol­ ogy; Challenges to mathematical analysis and applications brought together mathematicians working on multiscale techniques (homogenisation, singular perturbation) and specialists from applied sciences who use these techniques. Our 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 multiscale problems. Numerous problems in natural sciences contain multiple scales: flows in complex heterogeneous media, many particles systems, composite media, etc. Mathematically, we are led to study of singular homogenisation limits and the procedure is called upscaling or homogenisation. The processes to be up­ scaled are usually described by differential equations. For simple cases, when the differential equation is linear and the heterogeneities are periodic some progress has been made. However, most natural phenomena are described by nonlinear differential equations in a random nonhomogeneous medium and, despite an intensive development in recent years, there are many open problems. The objective of the conference was to bring together leading special­ ists from Europe and the United States and to discuss new challenges in this quickly developing field. 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.