Advances in Applied Analysis

This book contains survey papers based on the lectures presented at the 3rd International Winter School Modern Problems of Mathematics and Mechanics held in January 2010 at the Belarusian State University, Minsk. These lectures are devoted to different problems of modern analysis and its applications. An extended presentation of modern problems of applied analysis will enable the reader to get familiar with new approaches of mostly interdisciplinary character. Furthermore, the results discussed are application oriented. They cover applications to composite materials, anomalous diffusion and fluid dynamics and present new insights into these applied problems which have become increasingly important.