Tensor-Valued Random Fields for Continuum Physics
Language: English
Published by Cambridge University Press, 2019
Series: Book 95 of 106 - Cambridge Monographs on Mathematical Physics
- Hardcover
- New
Seller: AHA-BUCH GmbH, Einbeck, GermanyAHA-BUCH GmbH
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Druck auf Anfrage Neuware - Printed after ordering - 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. …
Seller Inventory # 9781108429856
- Title
- Tensor-Valued Random Fields for Continuum Physics
- Author
- Martin Ostoja-Starzewski
- Publisher
- Cambridge University Press
- Publication year
- 2019
- Condition
- Neu
- Binding
- Buch
- Language
- English
- ISBN 10
- 1108429858
- ISBN 13
- 9781108429856
- Item weight
- 724 grams
- Dimensions
- 250x175x21 mm
- Series
- Book 95 of 106: Cambridge Monographs on Mathematical Physics
"Synopsis" may belong to another edition of this title.
About the Author
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.
"About the title" may belong to another edition of this title.
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