书目名称 | Multiscale Problems in Science and Technology | 副标题 | Challenges to Mathem | 编辑 | Nenad Antonić,C. J. Duijn,Andro Mikelić | 视频video | | 概述 | A group of top specialists presents results on multiscale.Includes supplementary material: | 图书封面 |  | 描述 | 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 | 出版日期 | Conference proceedings 2002 | 关键词 | Analysis; composite materials; homogenisation; layers; mechanics; modeling; multiscale analysis; oscillatin | 版次 | 1 | doi | https://doi.org/10.1007/978-3-642-56200-6 | isbn_softcover | 978-3-540-43584-6 | isbn_ebook | 978-3-642-56200-6 | copyright | Springer-Verlag Berlin Heidelberg 2002 |
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