東華大學圖書館 |

語系: 繁體中文

說明(常見問題)

回圖書館首頁

手機版館藏查詢

登入

回首頁

切換: 標籤 | MARC模式 | ISBD

Non-local partial differential equat...

Kavallaris, Nikos I.

FindBook

Google Book

Amazon

博客來

Non-local partial differential equations for engineering and biology = mathematical modeling and analysis /

紀錄類型:	書目-電子資源 : 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.
出版者:	Cham :Springer International Publishing : : 2018.,
面頁冊數:	xix, 300 p. :ill., digital ;24 cm.
內容註:	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.
Contained By:	Springer eBooks
標題:	Differential equations, Partial. -
電子資源:	http://dx.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. - Cham :Springer International Publishing :2018. - xix, 300 p. :ill., digital ;24 cm. - Mathematics for industry,v.312198-350X ;. - Mathematics for industry ;v.31..

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:

518115
Differential equations, Partial.

LC Class. No.: QA374

Dewey Class. No.: 515.353

Non-local partial differential equations for engineering and biology = mathematical modeling and analysis /
LDR:03155nmm a2200337 a 4500 001 2132244
003 DE-He213
005 20180719144839.0
006 m d
007 cr nn 008maaau
008 181005s2018 gw s 0 eng d
020 $a 9783319679440 $q (electronic bk.)
020 $a 9783319679426 $q (paper)
024 7 $a 10.1007/978-3-319-67944-0 $2 doi
035 $a 978-3-319-67944-0
040 $a GP $c GP
041 0 $a eng
050 4 $a QA374
072 7 $a TGMD $2 bicssc
072 7 $a TEC009070 $2 bisacsh
072 7 $a SCI041000 $2 bisacsh
082 0 4 $a 515.353 $2 23
090 $a QA374 $b .K21 2018
100 1 $a Kavallaris, Nikos I. $3 3298581
245 1 0 $a Non-local partial differential equations for engineering and biology $h [electronic resource] : $b mathematical modeling and analysis / $c by Nikos I. Kavallaris, Takashi Suzuki.
260 $a Cham : $b Springer International Publishing : $b Imprint: Springer, $c 2018.
300 $a xix, 300 p. : $b ill., digital ; $c 24 cm.
490 1 $a Mathematics for industry, $x 2198-350X ; $v v.31
505 0 $a 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.
520 $a 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.
650 0 $a Differential equations, Partial. $3 518115
650 1 4 $a Engineering. $3 586835
650 2 4 $a Theoretical and Applied Mechanics. $3 896500
650 2 4 $a Mathematical Applications in the Physical Sciences. $3 1566152
650 2 4 $a Computer Appl. in Life Sciences. $3 892390
650 2 4 $a Partial Differential Equations. $3 890899
650 2 4 $a Industrial Chemistry/Chemical Engineering. $3 890826
700 1 $a Suzuki, Takashi. $3 842195
710 2 $a SpringerLink (Online service) $3 836513
773 0 $t Springer eBooks
830 0 $a Mathematics for industry ; $v v.31. $3 3298582
856 4 0 $u http://dx.doi.org/10.1007/978-3-319-67944-0
950 $a Engineering (Springer-11647)