Tensor-Valued Random Fields for Continuum Physics (Cambridge Monographs on Mathematical Physics) - Tapa dura

Libro 95 de 106: Cambridge Monographs on Mathematical Physics

Malyarenko, Anatoliy; Ostoja-Starzewski, Martin

 
9781108429856: Tensor-Valued Random Fields for Continuum Physics (Cambridge Monographs on Mathematical Physics)
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ISBN 10: 1108429858 ISBN 13: 9781108429856
Editorial: Cambridge University Press, 2022

Sinopsis

Many areas of continuum physics pose a challenge to physicists. What are the most general, admissible statistically homogeneous and isotropic tensor-valued random fields (TRFs)? Previously, only the TRFs of rank 0 were completely described. This book assembles a complete description of such fields in terms of one- and two-point correlation functions for tensors of ranks 1 through 4. Working from the standpoint of invariance of physical laws with respect to the choice of a coordinate system, spatial domain representations, as well as their wavenumber domain counterparts are rigorously given in full detail. The book also discusses, an introduction to a range of continuum theories requiring TRFs, an introduction to mathematical theories necessary for the description of homogeneous and isotropic TRFs, and a range of applications including a strategy for simulation of TRFs, ergodic TRFs, scaling laws of stochastic constitutive responses, and applications to stochastic partial differential equations. It is invaluable for mathematicians looking to solve problems of continuum physics, and for physicists aiming to enrich their knowledge of the relevant mathematical tools.

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Acerca de los autores

Anatoliy Malyarenko is Professor of Mathematics at Mälardalens Högskola, Sweden. Previously he was a researcher at the Statistical Research Centre at Taras Shevchenko National University, and at the International Mathematical Centre of the National Academy of Science. His research interests include random functions of several variables, actuarial and financial mathematics, and computer simulation of real-world systems.

Martin Ostoja-Starzewski is a Professor at the Department of Mechanical Science and Engineering at the University of Illinois, Urbana-Champaign and also at the Institute for Condensed Matter Theory and Beckman Institute. He serves as Editor of Acta Mechanica, Editor of the Journal of Thermal Stresses, and Chair Managing Editor of Mathematics and Mechanics of Complex Systems. His research interests include random and fractal media, continuum theories, as well as aerospace, bio- and geo-physical applications.

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Editorial
Cambridge University Press
Año de publicación
2022
Idioma
Inglés
ISBN 10 
1108429858
ISBN 13 
9781108429856
Encuadernación
Tapa dura
Número de páginas
314
Contacto del fabricante
no disponible
Persona responsable
Avery
https://www.avery.fr/

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