Download Nonlinear Systems of Partial Differential Equations: Applications to Life and Physical Sciences Ebook Pdf

Book Title : [size=20pt]Nonlinear Systems of Partial Differential Equations: Applications to Life and Physical Sciences[/size]

This book presents the theory of diffusionreaction equations starting from the VolterraLotka 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 upperlower 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 nonexpert readers. The first chapter covers a wide range of steadystate and stability results involving preypredator, 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, crossdiffusion, and boundary induced blowup, etc. The book also covers traveling or systems of waves, coupled NavierStokes and Maxwell systems, and fluid equations of plasma display. These should be of interest to life and physical scientists.
Author(s) :Anthony W. Leung (2009)

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