Overview
- Highlights practical use of non-local models considering any possible spatial dependence on the neighboring points as well as neglecting any feasible memory effects
- Supplies new mathematical methods for systems of PDE´s with examples of applications
- Examines non-local models in MEMS technologies
- Includes supplementary material: sn.pub/extras
Part of the book series: Mathematics for Industry (MFI, volume 31)
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Table of contents (8 chapters)
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Applications in Engineering
Keywords
About this book
This book aims for researchers and upper grade students in mathematics, engineering, physics, economics, and biology.
Reviews
“Overall the book is concerned with highly specific applications of non-local PDEs. This is a very advanced book which will be of interest to people who have specific interests in one or more topics covered by the book." (John Bartlett, Mathematics Today, Vol. 56 (5), October, 2020)
“The book ends with an appendix that contains some non-local models of elastic string, point vortices, and geometric deformation. The models, mathematical concepts and proofs are clearly and rigorously presented, recommending the book to readers interested in non-locality and its mathematical analysis.” (Corina-Ștefania Drapaca, Mathematical Reviews, October, 2018)
Authors and Affiliations
Bibliographic Information
Book Title: Non-Local Partial Differential Equations for Engineering and Biology
Book Subtitle: Mathematical Modeling and Analysis
Authors: Nikos I. Kavallaris, Takashi Suzuki
Series Title: Mathematics for Industry
DOI: https://doi.org/10.1007/978-3-319-67944-0
Publisher: Springer Cham
eBook Packages: Engineering, Engineering (R0)
Copyright Information: Springer International Publishing AG 2018
Hardcover ISBN: 978-3-319-67942-6Published: 14 December 2017
Softcover ISBN: 978-3-319-88515-5Published: 01 September 2018
eBook ISBN: 978-3-319-67944-0Published: 28 November 2017
Series ISSN: 2198-350X
Series E-ISSN: 2198-3518
Edition Number: 1
Number of Pages: XIX, 300
Number of Illustrations: 16 b/w illustrations, 7 illustrations in colour
Topics: Theoretical and Applied Mechanics, Mathematical Applications in the Physical Sciences, Computer Appl. in Life Sciences, Partial Differential Equations, Industrial Chemistry/Chemical Engineering