UID:
almahu_9947367749902882
Format:
1 online resource (709 p.)
ISBN:
1-281-79796-0
,
9786611797966
,
0-08-087539-4
Series Statement:
Studies in mathematics and its applications ; v. 18
Content:
Part I of this volume surveys the developments in the analysis of nonlinear phenomena in Japan during the past decade, while Part II consists of up-to-date original papers concerning qualitative theories and their applications.Dealt with here are nonlinear problems related to general analysis, fluid dynamics, mathematical biology and computer sciences, and their underlying mathematical structures, e.g. nonlinear waves and propagations, bifurcation phenomena, chaotic phenomena, and fractals.The volume is dedicated to Professor Masaya Yamaguti in celebration of his 60th birthday.
Note:
Description based upon print version of record.
,
Front Cover; Patterns and Waves: Qualitative Analysis of Nonlinear Differential Equations; Copyright Page; Contents; Preface; The Soul of Mathematics; Part I; Section 1: Hyperbolic Partial Differential Equations; Chapter 1. On Weakly Hyperbolic Equations with Constant Multiplicities; Chapter 2. Strongly Hyperbolic Equations and their Applications; Section 2: Flow Problems; Chapter 3. Solutions of the Boltzmann Equation; Chapter 4. Equations of Motion of Compressible Viscous Fluids; Section 3: Reaction-Diffusion Equations; Chapter 5. Predation-Mediated Coexistence and Segregation Structures
,
Chapter 6. On the Structure of Multiple Existence of Stable Stationary Solutions in Systems of Reaction-Diffusion EquationsSection 4: Chaos and Fractals; Chapter 7. Chaotic Phenomena and Fractal Objects in Numerical Analysis; Chapter 8. Fractals in Mathematics; Section 5: Numerical Analysis & Computations; Chapter 9. Parallel Computation; Chapter 10. A Theoretical and Computational Study of Upwind-Type Finite Element Methods; Part II; Chapter 11. Positive Solutions to Some Semilinear Elliptic Equations in L1(RN); Chapter 12. On the Vlasov-Poisson Limit of the Vlasov-Maxwell Equation
,
Chapter 13. A Discrete Model for Spatially Aggregating PhenomenaChapter 14. A Note on the Blowing-up Problem of a Certain System of Nonlinear Parabolic Equations; Chapter 15. L Equation de Kadomtsev-Petviashvili approchant les ondes longues de surface de I'eau en 'ecoulement trois-dimensionnel; Chapter 16. Application of an Iteration Scheme to the Analysis of Incompressible or Nearly Incompressible Media; Chapter 17. On a Local Existence Theorem for the Evolution Equation of Gaseous Stars
,
Chapter 18. Fundamental Solution of the Linearized System for the Exterior Stationary Problem of Compressible Viscous FlowChapter 19. Nonlocal Advection Effect on Bistable Reaction-Diffusion Equations; Chapter 20. On Small Data Scattering for Some Nonlinear Wave Equations; Chapter 21. The Near-field Finite Difference Approximation for Wave Propagation Problems in Infinite Media; Chapter 22. Energy Decay for Nonlinear Wave Equations with Degenerate Dissipative Terms; Chapter 23. On the Stochastic Integral Equation of Fredholm Type
,
Chapter 24. An Approach to Constrained Equations and Strange AttractorsChapter 25. On the Existence of Progressive Waves in the Flow of Perfect Fluid around a Circle; Chapter 26. On Laminar Boundary Layers with Suction; Chapter 27. Initial Value Problem for Kac's Model of the Boltzmann Equation; Chapter 28. The Initial Value Problem for the Equations of the Motion of Compressible Viscous Fluid with Some Slip Boundary Condition; Index
,
English
Additional Edition:
ISBN 0-444-70144-3
Language:
English
Bookmarklink
