Tensor-Valued Random Fields for Continuum Physics

Presents a complete description of homogenous and isotropic tensor-valued random fields, including the problems of continuum physics, mathematical tools and applications.

List of contents

Introduction; 1. Introduction to continuum theories; 2. Mathematical preliminaries; 3. Mathematical results; 4. Tensor random fields in continuum theories; References; Index.

About the author

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.

Summary

A complete description of homogenous and isotropic tensor-valued random fields in terms of one- and two-point correlation functions of ranks 1 through 4. Including the problems of continuum physics, necessary mathematical tools and applications, this book is invaluable for researchers in continuum physics from mathematic or physics backgrounds.

Product details

• Authors: Anatoliy Malyarenko, Anatoliy (Malardalens Hoegskola Malyarenko, Malyarenko Anatoliy, Martin Ostoja-Starzewski, Martin (University of Illinois Ostoja-Starzewski, Ostoja-Starzewski Martin
• Publisher: Cambridge University Press ELT
• Languages: English
• Product format: Hardback
• Released: 31.01.2019
• EAN: 9781108429856
• ISBN: 978-1-108-42985-6
• No. of pages: 310
• Series: Cambridge Monographs on Mathematical Physics; Cambridge Monographs on Mathem; Cambridge Monographs on Mathematical Physics; Cambridge Monographs on Mathem
• Subjects: Natural sciences, medicine, IT, technology > Physics, astronomy > Miscellaneous; SCIENCE / Physics / General, SCIENCE / Physics / Mathematical & Computational, Physics, Mathematical physics