Multiscale Problems in Science and Technology (Paperback)

Nenad Antonic

ISBN 10: 3540435840 / ISBN 13: 9783540435846

Published by Springer-Verlag Berlin and Heidelberg GmbH & Co. KG, Berlin, 2002

About this Item

Paperback. 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. The International conference on Multiscale problems in science and technol ogy; 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. Shipping may be from multiple locations in the US or from the UK, depending on stock availability.

Seller Inventory # 9783540435846

Bibliographic Details

• Title: Multiscale Problems in Science and Technology (Paperback)
• Publisher: Springer-Verlag Berlin and Heidelberg GmbH & Co. KG, Berlin
• Publication Date: 2002
• Language: English
• ISBN 10: 3540435840
• ISBN 13: 9783540435846
• Binding: Paperback
• Edition: 1st Edition
• 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.

Synopsis

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.