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Analytic Methods in Interdisciplinary Applications

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The book includes lectures given by the plenary and key speakers at the 9th International ISAAC Congress held 2013 in Krakow, Poland. The contributions treat recent developments in analysis and surrounding areas, concerning topics from the theory of partial differential equations, function spaces, scattering, probability theory, and others, as well as applications to biomathematics, queueing models, fractured porous media and geomechanics.

Author(s): Vladimir V. Mityushev, Michael Ruzhansky (eds.)
Series: Springer Proceedings in Mathematics & Statistics 116
Edition: 1
Publisher: Springer International Publishing
Year: 2015

Language: English
Pages: 181
Tags: Partial Differential Equations; Functional Analysis; Mathematical Applications in the Physical Sciences

Front Matter....Pages i-x
Search in Big Networks and Big Data....Pages 1-15
Probabilistic Approach to Fractional Integrals and the Hardy-Littlewood-Sobolev Inequality....Pages 17-40
Dynamic Homogenization....Pages 41-50
Queueing Models for Performance Evaluation of Computer Networks—Transient State Analysis....Pages 51-80
Global Well-Posedness of the Kirchhoff Equation and Kirchhoff Systems....Pages 81-96
Brain Atlasing: Design Principles, Methods, Tools and Applications....Pages 97-107
Method of Asymptotic Partial Domain Decomposition for Non-steady Problems: Wave Equation on a Thin Structure....Pages 109-124
The First Student of Andrei Nikolaevich Kolmogorov....Pages 125-152
Mechanical-Mathematical Modelling of Biological Tissue Behaviour....Pages 153-181