Nonlinear Waves and Solitons on Contours and Closed Surfaces:
Gespeichert in:
| Format: | Elektronisch E-Book |
|---|---|
| Sprache: | English |
| Veröffentlicht: |
Berlin, Heidelberg
Springer Berlin Heidelberg
2012
|
| Ausgabe: | 2nd ed. 2012 |
| Schriftenreihe: | Springer Series in Synergetics
|
| Schlagworte: | |
| Online-Zugang: | TUM01 UBT01 Volltext |
| Beschreibung: | 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. 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 mathematical concept required for treating the manifolds considered, providing relevant notions from topology and differential geometry. An introduction to the theory of motion of curves and surfaces - as part of the emerging field of contour dynamics - is given.The second and third parts discuss the modeling of various physical solitons on compact systems, such as filaments, loops and drops made of almost incompressible materials thereby intersecting with a large number of physical disciplines from hydrodynamics to compact object astrophysics.This book is intended for graduate students and researchers in mathematics, physics and engineering.This new edition has been thoroughly revised, expanded and updated. |
| Beschreibung: | 1 Online-Ressource |
| ISBN: | 9783642228957 |
| DOI: | 10.1007/978-3-642-22895-7 |
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| isbn | 9783642228957 |
| language | English |
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| spelling | Nonlinear Waves and Solitons on Contours and Closed Surfaces by Andrei Ludu 2nd ed. 2012 Berlin, Heidelberg Springer Berlin Heidelberg 2012 1 Online-Ressource txt rdacontent c rdamedia cr rdacarrier Springer Series in Synergetics 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. 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 mathematical concept required for treating the manifolds considered, providing relevant notions from topology and differential geometry. An introduction to the theory of motion of curves and surfaces - as part of the emerging field of contour dynamics - is given.The second and third parts discuss the modeling of various physical solitons on compact systems, such as filaments, loops and drops made of almost incompressible materials thereby intersecting with a large number of physical disciplines from hydrodynamics to compact object astrophysics.This book is intended for graduate students and researchers in mathematics, physics and engineering.This new edition has been thoroughly revised, expanded and updated. Mathematische Physik Physics Global differential geometry Mathematical 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 Kompakter Raum (DE-588)4164857-2 gnd rswk-swf Soliton (DE-588)4135213-0 gnd rswk-swf Nichtlineare Welle (DE-588)4042102-8 gnd rswk-swf Nichtlineare Welle (DE-588)4042102-8 s Soliton (DE-588)4135213-0 s Kompakter Raum (DE-588)4164857-2 s 1\p DE-604 Ludu, Andrei Sonstige oth https://doi.org/10.1007/978-3-642-22895-7 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Nonlinear Waves and Solitons on Contours and Closed Surfaces Mathematische Physik Physics Global differential geometry Mathematical 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 Kompakter Raum (DE-588)4164857-2 gnd Soliton (DE-588)4135213-0 gnd Nichtlineare Welle (DE-588)4042102-8 gnd |
| subject_GND | (DE-588)4164857-2 (DE-588)4135213-0 (DE-588)4042102-8 |
| title | Nonlinear Waves and Solitons on Contours and Closed Surfaces |
| title_auth | Nonlinear Waves and Solitons on Contours and Closed Surfaces |
| title_exact_search | Nonlinear Waves and Solitons on Contours and Closed Surfaces |
| title_full | Nonlinear Waves and Solitons on Contours and Closed Surfaces by Andrei Ludu |
| title_fullStr | Nonlinear Waves and Solitons on Contours and Closed Surfaces by Andrei Ludu |
| title_full_unstemmed | Nonlinear Waves and Solitons on Contours and Closed Surfaces by Andrei Ludu |
| title_short | Nonlinear Waves and Solitons on Contours and Closed Surfaces |
| title_sort | nonlinear waves and solitons on contours and closed surfaces |
| topic | Mathematische Physik Physics Global differential geometry Mathematical 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 Kompakter Raum (DE-588)4164857-2 gnd Soliton (DE-588)4135213-0 gnd Nichtlineare Welle (DE-588)4042102-8 gnd |
| topic_facet | Mathematische Physik Physics Global differential geometry Mathematical 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 Kompakter Raum Soliton Nichtlineare Welle |
| url | https://doi.org/10.1007/978-3-642-22895-7 |
| work_keys_str_mv | AT luduandrei nonlinearwavesandsolitonsoncontoursandclosedsurfaces |