Non-Local Partial Differential Equations for Engineering and Biology - Mathematical Modeling and Analysis (Hardcover, 1st ed. 2018)

This book presents new developments in non-local mathematical modeling and mathematical analysis on the behavior of solutions with novel technical tools. Theoretical backgrounds in mechanics, thermo-dynamics, game theory, and theoretical biology are examined in details. It starts off with a review and summary of the basic ideas of mathematical modeling frequently used in the sciences and engineering. The authors then employ a number of models in bio-science and material science to demonstrate applications, and provide recent advanced studies, both on deterministic non-local partial differential equations and on some of their stochastic counterparts used in engineering. Mathematical models applied in engineering, chemistry, and biology are subject to conservation laws. For instance, decrease or increase in thermodynamic quantities and non-local partial differential equations, associated with the conserved physical quantities as parameters. These present novel mathematical objects are engaged with rich mathematical structures, in accordance with the interactions between species or individuals, self-organization, pattern formation, hysteresis. These models are based on various laws of physics, such as mechanics of continuum, electro-magnetic theory, and thermodynamics. This is why many areas of mathematics, calculus of variation, dynamical systems, integrable systems, blow-up analysis, and energy methods are indispensable in understanding and analyzing these phenomena. This book aims for researchers and upper grade students in mathematics, engineering, physics, economics, and biology.

General

Imprint:	Springer International Publishing AG
Country of origin:	Switzerland
Series:	Mathematics for Industry, 31
Release date:	December 2017
First published:	2018
Authors:	Nikos I. Kavallaris • Takashi Suzuki
Dimensions:	235 x 155mm (L x W)
Format:	Hardcover
Pages:	300
Edition:	1st ed. 2018
ISBN-13:	978-3-319-67942-6
Categories:	Books > Science & Mathematics > Biology, life sciences > General Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Differential equations Books > Science & Mathematics > Mathematics > Applied mathematics > Mathematical modelling Books > Professional & Technical > Industrial chemistry & manufacturing technologies > Industrial chemistry > General Books > Professional & Technical > Mechanical engineering & materials > Materials science > Mechanics of solids > General
LSN:	3-319-67942-2
Barcode:	9783319679426

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