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Introduction to Vortex Filaments in Equilibrium electronic resource by Timothy D. Andersen, Chjan C. Lim.

By: Andersen, Timothy D [author.]Contributor(s): Lim, Chjan C [author.] | SpringerLink (Online service)Material type: TextTextSeries: Springer Monographs in MathematicsPublication details: New York, NY : Springer New York : Imprint: Springer, 2014Description: XI, 139 p. 81 illus., 80 illus. in color. online resourceContent type: text Media type: computer Carrier type: online resourceISBN: 9781493919383Subject(s): mathematics | Computer Science | Mathematics | Computational Science and Engineering | Theoretical, Mathematical and Computational Physics | Fluid- and Aerodynamics | Mathematical physicsDDC classification: 004 LOC classification: QA71-90Online resources: Click here to access online
Contents:
Introduction -- Vortex Filaments and Where to Find Them -- Statistical Mechanics -- Parallel Filaments -- Curved Filaments -- Quantum Fluids -- Plasmas -- Computational Methods -- Quasi 2-D  Monte Carlo in Deep Ocean Convection -- Conclusion.
In: Springer eBooksSummary: This book presents fundamental concepts and seminal results to the study of vortex filaments in equilibrium. It also presents new discoveries in quasi-2D vortex structures with applications to geophysical fluid dynamics and magnetohydrodynamics in plasmas.  It fills a gap in the vortex statistics literature by simplifying the mathematical introduction to this complex topic, covering numerical methods, and exploring a wide range of applications with numerous examples. The authors have produced an introduction that is clear and easy to read, leading the reader step-by-step into this topical area. Alongside the theoretical concepts and mathematical formulations, interesting applications are discussed. This combination makes the text useful for students and researchers in mathematics and physics.
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Introduction -- Vortex Filaments and Where to Find Them -- Statistical Mechanics -- Parallel Filaments -- Curved Filaments -- Quantum Fluids -- Plasmas -- Computational Methods -- Quasi 2-D  Monte Carlo in Deep Ocean Convection -- Conclusion.

This book presents fundamental concepts and seminal results to the study of vortex filaments in equilibrium. It also presents new discoveries in quasi-2D vortex structures with applications to geophysical fluid dynamics and magnetohydrodynamics in plasmas.  It fills a gap in the vortex statistics literature by simplifying the mathematical introduction to this complex topic, covering numerical methods, and exploring a wide range of applications with numerous examples. The authors have produced an introduction that is clear and easy to read, leading the reader step-by-step into this topical area. Alongside the theoretical concepts and mathematical formulations, interesting applications are discussed. This combination makes the text useful for students and researchers in mathematics and physics.

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