Nikos I. Kavallaris, Takashi Suzuki

Non-Local Partial Differential Equations for Engineering and Biology (eBook, PDF)

Mathematical Modeling and Analysis

• Format: PDF

Produktbeschreibung

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

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Produktdetails

• Verlag: Springer International Publishing
• Seitenzahl: 300
• Erscheinungstermin: 28. November 2017
• Englisch
• ISBN-13: 9783319679440
• Artikelnr.: 52936374

Inhaltsangabe

Dedication.- Preface.- Acknowledgements.- Part I Applications in Engineering.- Micro-electro-mechanical-systems(MEMS).- Ohmic Heating Phenomena.- Linear Friction Welding.- Resistance Spot Welding.- Part II Applications in Biology.- Gierer-Meinhardt System.- A Non-local Model Illustrating Replicator Dynamics.- A Non-local Model Arising in Chemotaxis.- A Non-local Reaction-Diffusion System Illustrating Cell Dynamics.- Appendices.- Index.

Rezensionen

"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- tefania Drapaca, Mathematical Reviews, October, 2018)