Nonlinear Systems of Partial Differential Equations: Applications to Life and Physical Sciences - Rilegato

Leung, Anthony W.

Rilegato

ISBN 10: 981427769X ISBN 13: 9789814277693

Casa editrice: World Scientific Pub Co Inc, 2009

Riassunto

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 W2p theory. 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.

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Recensione

"The book provides a comprehensive presentation of topics developed by numerous researchers. This is the first book to present such topics at research level. 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." --Zentralblatt MATH

Product Description

Book by Anthony W Leung

Dettagli dell?edizione

• Editore: World Scientific Pub Co Inc
• Data di pubblicazione: 2009
• Lingua: Inglese
• ISBN 10: 981427769X
• ISBN 13: 9789814277693
• Rilegatura: Copertina rigida
• Numero di pagine: 532
• Contatto del produttore: non disponibile
• Persona responsabile: non disponibile