MARC Record from marc_columbia

LEADER: 03098cam a2200325 a 4500
001 7461403
005 20221201001321.0
008 090227t20092009njua b 001 0 eng d
020 $a9789814277693
020 $a981427769X
029 1 $aAU@$b000044884518
035 $a(OCoLC)ocn311763330
035 $a(OCoLC)311763330
035 $a(NNC)7461403
035 $a7461403
040 $aBTCTA$cBTCTA$dBWX$dOCLCQ$dMUU$dOrLoB-B
050 4 $aQA377$b.L478 2009
082 0 $a515.35
100 1 $aLeung, Anthony W.,$d1946-$0http://id.loc.gov/authorities/names/n88010345
245 10 $aNonlinear systems of partial differential equations :$bapplications to life and physical sciences /$cAnthony W. Leung.
260 $aHackensack, NJ :$bWorld Scientific,$c[2009], ©2009.
300 $axii, 532 pages :$billustrations ;$c26 cm
336 $atext$btxt$2rdacontent
337 $aunmediated$bn$2rdamedia
504 $aIncludes bibliographical references and index.
505 00 $g1.$tPositive Solutions for Systems of Two Equations -- $g2.$tPositive Solutions for Large Systems of Equations -- $g3.$tOptimal Control for Nonlinear Systems of Partial Differential Equations -- $g4.$tPersistence, Upper and Lower Estimates, Blowup, Cross-Diffusion and Degeneracy -- $g5.$tTraveling Waves, Systems of Waves, Invariant Manifolds, Fluids and Plasma -- $g6.$tAppendices.
520 1 $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 W[superscript 2.p] 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."--BOOK JACKET.
650 0 $aDifferential equations, Partial.$0http://id.loc.gov/authorities/subjects/sh85037912
650 0 $aDifferential equations, Nonlinear.$0http://id.loc.gov/authorities/subjects/sh85037906
852 00 $bmat$hQA377$i.L4152 2009g