The theory of waves is generalized on cases of strongly nonlinear waves, multivalued waves, and particle-waves. The appearance of these waves in various continuous media and physical fields is explained by resonances and nonlinearity effects. Extreme waves emerging in different artificial and natural systems from atom scale to the Universe are explored. Vast amounts of experimental data and comparisons of them with the results of the developed theory are presented.
The book was written for graduate students as well as for researchers and engineers in the fields of geophysics, nonlinear wave studies, cosmology, physical oceanography, and ocean and coastal engineering. It is designed as a professional reference for those working in the wave analysis and modeling fields.
Rezensionen / Stimmen
"Galiev presents a comprehensive theory of extreme waves-unexpectedly appearing and disappearing waves with large amplitudes-a topic gaining attention especially in the last 20 years. Fundamental ingredients in such waves are nonlinearities (geometric or material) and behavior near and past resonance (hence large amplitudes). The theory is applied to ocean waves and optical physics...Some important experiments are drawn from the literature (e.g., Euler's work on the elastica, Darwin's observations on tsunami)."
J. Lambropoulos, Choice Reviews October 2021, USA
Reihe
Sprache
Verlagsort
Verlagsgruppe
Zielgruppe
Für Beruf und Forschung
Professional Reference
Illustrationen
253 s/w Abbildungen, 20 farbige Abbildungen
20 Illustrations, color; 253 Illustrations, black and white
Maße
Höhe: 234 mm
Breite: 156 mm
Gewicht
ISBN-13
978-0-367-48064-6 (9780367480646)
Copyright in bibliographic data and cover images is held by Nielsen Book Services Limited or by the publishers or by their respective licensors: all rights reserved.
Schweitzer Klassifikation
Shamil U. Galiev obtained his Ph.D. degree in Mathematics and Physics from Leningrad University in 1971, and, later, a full doctorate (ScD) in Engineering Mechanics from the Academy of Science of Ukraine (1978). He worked in the Academy of Science of former Soviet Union as a researcher, senior researcher, and department chair from 1965 to 1995. From 1984 to 1989, he served as a Professor of Theoretical Mechanics in the Kiev Technical University, Ukraine. Since 1996, he has served as Professor, Honorary Academic of the University of Auckland, New Zealand. Dr. Galiev has published approximately 90 scientific publications, and he is the author of seven books devoted to different complex wave phenomena. From 1965-2014 he has studied different engineering problems connected with dynamics and strength of submarines, rocket systems, and target/projectile (laser beam) systems. Some of these results were published in books and papers. During 1998-2017, he conducted extensive research and publication in the area of strongly nonlinear effects connected with catastrophic earthquakes, giant ocean waves and waves in nonlinear scalar fields. Overall, Dr. Galiev's research has covered many areas of engineering, mechanics, physics, and mathematics.
PART I. An Example of a Unified Theory of Extreme Waves. Chapter 1 Lagrangian Description of Surface Water Waves. Chapter 2 Euler's Figures and Extreme Waves: Examples, Equations and Unified Solutions. PART II. Waves in Finite Resonators. Chapter 3 Generalization of the d'Alembert's Solution for Nonlinear Long Waves. Chapter 4 Extreme Resonant Waves: A Quadratic Nonlinear Theory. Chapter 5. Extreme Resonant Waves: A Cubic Nonlinear Theory. Chapter 6 Spherical Resonant Waves. Chapter 7 Extreme Faraday Waves. PART III. Extreme Ocean Waves and Resonant Phenomena. Chapter 8 Long Waves, Green's Law and Topographical Resonance. Chapter 9 Modelling of a Tsunami Described by Charles Darwin and Coastal Waves. Chapter 10. Theory of Extreme (Rogue, Catastrophic) Ocean Waves. Chapter 11. Wind-Induced Waves and Wind-Wave Resonance. Chapter 12. Transresonant Evolution of Euler's Figures into Vortices. PART IV. Modelling of Particle-Waves, Slit Experiments and the Extreme Waves in Scalar Fields. Chapter 13. Resonances, Euler Figures, and Particle-Waves. Chapter 14. Nonlinear Quantum Waves in the Light of Recent Slit Experiments. Chapter 15. Resonant Models of Origin of Particles and the Universe Due to Quantum Perturbations of Scalar Fields. Conclusion to Volume I.
