Nonlinear Waves and Solitons on Contours and Closed Surfaces

• Κύριος συγγραφέας: Ludu, Andrei (Συγγραφέας)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2012.
• Έκδοση: 2nd ed. 2012.
• Σειρά: Springer Series in Synergetics,
• Θέματα: Physics.; Differential geometry.; Fluids.; Amorphous substances.; Complex fluids.; Surfaces (Physics).; Interfaces (Physical sciences).; Thin films.; Statistical physics.; Nonlinear Dynamics.; Differential Geometry.; Mathematical Methods in Physics.; Fluid- and Aerodynamics.; Soft and Granular Matter, Complex Fluids and Microfluidics.; Surface and Interface Science, Thin Films.

This volume is an introduction to nonlinear waves and soliton theory in the special environment of compact spaces such a closed curves and surfaces and other domain contours. It assumes familiarity with basic soliton theory and nonlinear dynamical systems. The first part of the book introduces the m...

Πίνακας περιεχομένων:

• Introduction
• Mathematical Prerequisites
• The Importance of the Boundary
• Vector Fields, Differential Forms, and Derivatives
• Geometry of Curves
• Motion of Curves and Solitons
• Geometry of Surfaces
• Theory of Motion of Surfaces
• Kinematics of Hydrodynamics
• Dynamics of Hydrodynamics
• Nonlinear Surface Waves in One-Dimension
• Nonlinear Surface Waves in Two-Dimensions
• Nonlinear Surface Waves in Three-Dimensions
• Other Special Nonlinear Compact Systems
• Filaments, Chains and Solitons
• Solitons on the Boundaries of Microscopic Systems
• Nonlinear Contour Dynamics in Macroscopic Systems
• Mathematical Annex
• References
• Index.