Cargando…
Nonlinear Systems Of Partial Differential Equations : Applications To Life And Physical Sciences.
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, bifu...
| Clasificación: | Libro Electrónico |
|---|---|
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
World Scientific
2009.
|
| Temas: | |
| Acceso en línea: | Texto completo |
MARC
| LEADER | 00000cam a2200000M 4500 | ||
|---|---|---|---|
| 001 | EBOOKCENTRAL_ocn729020139 | ||
| 003 | OCoLC | ||
| 005 | 20240329122006.0 | ||
| 006 | m o d | ||
| 007 | cr un|---uuuuu | ||
| 008 | 101115s2009 xx o 000 0 eng d | ||
| 040 | |a IDEBK |b eng |e pn |c IDEBK |d OCLCQ |d EBLCP |d MHW |d DEBSZ |d OCLCQ |d COCUF |d OCLCO |d AGLDB |d OCLCF |d ZCU |d OCLCQ |d MERUC |d U3W |d OCLCQ |d ICG |d INT |d OCLCQ |d REC |d OCLCQ |d DKC |d OCLCO |d AU@ |d OCLCO |d OCLCQ |d M8D |d UKAHL |d OCLCO |d OCLCQ |d OCLCO |d OCLCL | ||
| 019 | |a 816582031 | ||
| 020 | |a 1282758357 | ||
| 020 | |a 9781282758353 | ||
| 020 | |a 9789814277709 | ||
| 020 | |a 9814277703 | ||
| 029 | 1 | |a DEBBG |b BV044179257 | |
| 029 | 1 | |a DEBSZ |b 407526358 | |
| 029 | 1 | |a DEBSZ |b 445581662 | |
| 035 | |a (OCoLC)729020139 |z (OCoLC)816582031 | ||
| 050 | 4 | |a QA377 | |
| 072 | 7 | |a PBKJ |2 bicssc | |
| 082 | 0 | 4 | |a 515.35 |
| 084 | |a SK 540 |2 rvk | ||
| 049 | |a UAMI | ||
| 245 | 0 | 0 | |a Nonlinear Systems Of Partial Differential Equations : |b Applications To Life And Physical Sciences. |
| 260 | |b World Scientific |c 2009. | ||
| 300 | |a 1 online resource (544) | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 505 | 0 | |a Cover13; -- Contents -- Preface -- 1 Positive Solutions for Systems of Two Equations -- 1.1 Introduction -- 1.2 Strictly Positive Coexistence for Diffusive Prey-Predator Systems -- 1.3 Strictly Positive Coexistence for Diffusive Competing Systems -- 1.4 Strictly Positive Coexistence for Diffusive Cooperating Systems -- 1.5 Stability of Steady-States as Time Changes -- Part A: Prey-Predator Case. -- Part B: Competing Species Case. -- 2 Positive Solutions for Large Systems of Equations -- 2.1 Introduction -- 2.2 Synthesizing Large (Biological) Diffusive Systems from Smaller Subsystems -- 2.3 Application to Epidemics of Many Interacting Infected Species -- 2.4 Conditions for Coexistence in Terms of Signs of Principal Eigenvalues of Related Single Equations, Mixed Boundary Data -- 2.5 Positive Steady-States for Large Systems by Index Method -- 2.6 Application to Reactor Dynamics with Temperature Feedback -- 3 Optimal Control for Nonlinear Systems of Partial Differential Equations -- 3.1 Introduction and Preliminary Results for Scalar Equations -- 3.2 Optimal Harvesting-Coefficient Control of Steady-State Prey- Predator Diffusive Volterra-Lotka Systems -- 3.3 Time-Periodic Optimal Control for Competing Parabolic Systems -- 3.4 Optimal Control of an Initial-Boundary Value Problem for Fission Reactor Systems -- 3.5 Optimal Boundary Control of a Parabolic Problem -- 4 Persistence, Upper and Lower Estimates, Blowup, Cross-Diffusion and Degeneracy -- 4.1 Persistence -- 4.2 Upper-Lower Estimates, Attractor Set, Blowup -- 4.3 Diffusion, Self and Cross-Diffusion with No-Flux Boundary Condition -- 4.4 Degenerate and Density-Dependent Diffusions, Non-Extinction in Highly Spatially Heterogenous Environments -- Part A: Weak Upper and Lower Solutions for Degenerate or Non- Degenerate Elliptic Systems. -- Part B: Lower Bounds for Density-Dependent Di.usive Systems with Regionally Large Growth Rates. -- 5 TravelingWaves, Systems ofWaves, Invariant Manifolds, Fluids and Plasma -- 5.1 Traveling Wave Solutions for Competitive and Monotone Systems -- Part A: Existence of TravelingWave Connecting a Semi-Trivial Steady- State to a Coexistence Steady-State. -- Part B: Iterative Method for obtaining Traveling Wave for General Monotone Systems. -- 5.2 Positive Solutions for Systems of Wave Equations and Their Stabilities -- 5.3 Invariant Manifolds for Coupled Navier-Stokes and Second Order Wave Equations -- Part A: Main Theorem for the Existence of Invariant Manifold. -- Part B: Dependence on Initial Conditions, Asymptotic Stability of the Manifold, and Applications. -- 5.4 Existence and Global Bounds for Fluid Equations of Plasma Display Technology -- 6 Appendices -- 6.1 Existence of Solution between Upper and Lower Solutions for Elliptic and Parabolic Systems, Bifurcation Theorems -- 6.2 The Fixed Point Index, Degree Theory and Spectral Radius of Positive Operators -- 6.3 Theorems Involving Maximum Principle, Comparison and Principal Eigenvalues for Positive Operators -- 6.4 Theorems Involving Derivative Maps, Semigroups and Stability -- 6.5 W2,1 p Estimates, Weak Solutions for Parabolic Equations with Mixed Boundary Data, Theorems Related to Optimal Control, Cross-Diffusion and TravelingWave -- Bibliography -- 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 W 2p 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 pre. | ||
| 590 | |a ProQuest Ebook Central |b Ebook Central Academic Complete | ||
| 650 | 0 | |a Differential equations, Partial. | |
| 650 | 0 | |a Differential equations, Nonlinear. | |
| 650 | 6 | |a Équations aux dérivées partielles. | |
| 650 | 6 | |a Équations différentielles non linéaires. | |
| 650 | 7 | |a MATHEMATICS |x Differential Equations |x General. |2 bisacsh | |
| 650 | 7 | |a Differential equations, Nonlinear |2 fast | |
| 650 | 7 | |a Differential equations, Partial |2 fast | |
| 650 | 7 | |a Nichtlineare partielle Differentialgleichung |2 gnd | |
| 655 | 4 | |a Electronic resource. | |
| 720 | |a Leung Anthony W. | ||
| 758 | |i has work: |a Nonlinear systems of partial differential equations (Text) |1 https://id.oclc.org/worldcat/entity/E39PCH94t3m366TYPHhWm76mgq |4 https://id.oclc.org/worldcat/ontology/hasWork | ||
| 856 | 4 | 0 | |u https://ebookcentral.uam.elogim.com/lib/uam-ebooks/detail.action?docID=1681229 |z Texto completo |
| 938 | |a Askews and Holts Library Services |b ASKH |n AH24686379 | ||
| 938 | |a EBL - Ebook Library |b EBLB |n EBL1681229 | ||
| 938 | |a ebrary |b EBRY |n ebr10422166 | ||
| 938 | |a EBSCOhost |b EBSC |n 340553 | ||
| 938 | |a ProQuest MyiLibrary Digital eBook Collection |b IDEB |n 275835 | ||
| 938 | |a YBP Library Services |b YANK |n 3511447 | ||
| 994 | |a 92 |b IZTAP | ||