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Nonlinear systems of partial differe...

Leung, Anthony W., (1946-)

Nonlinear systems of partial differential equationsapplications to life and physical sciences /

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Nonlinear systems of partial differential equationsAnthony W. Leung.
其他題名:	applications to life and physical sciences /
作者:	Leung, Anthony W.,
出版者:	Singapore ;World Scientific Pub. Co.,c2009.
面頁冊數:	xii, 532 p. :ill. (some col.)
標題:	Differential equations, Partial.
電子資源:	http://www.worldscientific.com/worldscibooks/10.1142/7353#t=toc
ISBN:	9789814277709 (electronic bk.)

Nonlinear systems of partial differential equationsapplications to life and physical sciences /
Leung, Anthony W.,1946-

Nonlinear systems of partial differential equationsapplications to life and physical sciences /[electronic resource] :Anthony W. Leung. - Singapore ;World Scientific Pub. Co.,c2009. - xii, 532 p. :ill. (some col.)

Includes bibliographical references (p. 507-524) and index.

The book presents the theory of diffusion-reaction equations starting from the Volterra-Lotka systems developed in the eighties for Dirichlet boundary conditions. It uses the analysis of applicable systems of partial differential equations as a starting point for studying upper-lower solutions, bifurcation, degree theory and other nonlinear methods. It also illustrates the use of semigroup, stability theorems and W2ptheory. Introductory explanations are included in the appendices for non-expert readers. The first chapter covers a wide range of steady-state and stability results involving prey-predator, competing and cooperating species under strong or weak interactions. Many diagrams are included to easily understand the description of the range of parameters for coexistence. The book provides a comprehensive presentation of topics developed by numerous researchers. Large complex systems are introduced for modern research in ecology, medicine and engineering. Chapter 3 combines the theories of earlier chapters with the optimal control of systems involving resource management and fission reactors. This is the first book to present such topics at research level. Chapter 4 considers persistence, cross-diffusion, and boundary induced blow-up, etc. The book also covers traveling or systems of waves, coupled Navier-Stokes and Maxwell systems, and fluid equations of plasma display. These should be of interest to life and physical scientists.

Electronic reproduction.
Singapore :
World Scientific Publishing Co.,
2009.

System requirements: Adobe Acrobat Reader.

ISBN: 9789814277709 (electronic bk.)Subjects--Topical Terms:

189753
Differential equations, Partial.

LC Class. No.: QA377

Dewey Class. No.: 515.35

Nonlinear systems of partial differential equationsapplications to life and physical sciences /
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300 $a xii, 532 p. : $b ill. (some col.)
504 $a Includes bibliographical references (p. 507-524) and index.
520 $a The book presents the theory of diffusion-reaction equations starting from the Volterra-Lotka systems developed in the eighties for Dirichlet boundary conditions. It uses the analysis of applicable systems of partial differential equations as a starting point for studying upper-lower solutions, bifurcation, degree theory and other nonlinear methods. It also illustrates the use of semigroup, stability theorems and W2ptheory. Introductory explanations are included in the appendices for non-expert readers. The first chapter covers a wide range of steady-state and stability results involving prey-predator, competing and cooperating species under strong or weak interactions. Many diagrams are included to easily understand the description of the range of parameters for coexistence. The book provides a comprehensive presentation of topics developed by numerous researchers. Large complex systems are introduced for modern research in ecology, medicine and engineering. Chapter 3 combines the theories of earlier chapters with the optimal control of systems involving resource management and fission reactors. This is the first book to present such topics at research level. Chapter 4 considers persistence, cross-diffusion, and boundary induced blow-up, etc. The book also covers traveling or systems of waves, coupled Navier-Stokes and Maxwell systems, and fluid equations of plasma display. These should be of interest to life and physical scientists.
533 $a Electronic reproduction. $b Singapore : $c World Scientific Publishing Co., $d 2009. $n System requirements: Adobe Acrobat Reader. $n Mode of access: World Wide Web. $n Available to subscribing institutions.
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