Modeling of Extreme Waves in Technology and Nature, Two Volume Set

Volume 1: PART I. Basic equations and ideas. 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 Generalisation 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 the 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. References.

Volume 2: PART I. Basic models, equations and ideas. Chapter 1. Models of continuum. Chapter 2. The dynamic destruction of some materials in tension waves. Chapter 3. Models of dynamic failure of weakly-cohesived media (WCM). PARTI II. Extreme waves and structural elements. Chapter 4. Extreme effects and waves in impact loaded hydrodeformable systems. Chapter 5. Shells and cavitation (cool boiling) waves. Chapter 6. Interaction of extreme underwater waves with structures. Part III. Counterintuitive behaviour (CIB) of structural elements after impact loads. Chapter 7. Experimental data. Chapter 8. CIB of plates and shallow shells: theory and calculations. Part IV. Extreme waves excited by impact of heat, radiation or mass. Chapter 9. Formation and amplification of heat waves. Chapter 10. Extreme waves excited by radiation. Chapter 11. The melting waves in front of a massive perforator.