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Non-Local Partial Differential Equations for Engineering and Biology = Mathematical Modeling and Analysis /

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Non-Local Partial Differential Equations for Engineering and Biology/ by Nikos I. Kavallaris, Takashi Suzuki.
其他題名:	Mathematical Modeling and Analysis /
作者:	Kavallaris, Nikos I.
其他作者:	Suzuki, Takashi.
面頁冊數:	XIX, 300 p. 23 illus., 7 illus. in color.online resource. :
Contained By:	Springer Nature eBook
標題:	Mechanics. -
電子資源:	https://doi.org/10.1007/978-3-319-67944-0
ISBN:	9783319679440

Non-Local Partial Differential Equations for Engineering and Biology = Mathematical Modeling and Analysis /
Kavallaris, Nikos I.

Non-Local Partial Differential Equations for Engineering and BiologyMathematical Modeling and Analysis /[electronic resource] :by Nikos I. Kavallaris, Takashi Suzuki. - 1st ed. 2018. - XIX, 300 p. 23 illus., 7 illus. in color.online resource. - Mathematics for Industry,312198-350X ;. - Mathematics for Industry,18.

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.

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.

ISBN: 9783319679440

Standard No.: 10.1007/978-3-319-67944-0doiSubjects--Topical Terms:

527684
Mechanics.

LC Class. No.: TA349-359

Dewey Class. No.: 620.1

Non-Local Partial Differential Equations for Engineering and Biology = Mathematical Modeling and Analysis /
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