Introduction to Vortex Filaments in Equilibrium

Buch | Hardcover
139 Seiten
2014
Springer-Verlag New York Inc.
978-1-4939-1937-6 (ISBN)

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Introduction to Vortex Filaments in Equilibrium - Timothy D. Andersen, Chjan C. Lim
53,49 inkl. MwSt
This book presents fundamental concepts and seminal results to the study of vortex filaments in equilibrium. 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.
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.

Timothy D. Andersen received his Ph.D. in Mathematics in 2007. His research interests include Feynman-Kac path integral approaches to vortex filaments, plasmas, and biochemical electrostatics, quantum interpretation problem and the arrow of time, and dark matter and the Dirac equation. Chjan Lim, Ph.D., is a professor of Mathematical Sciences at Rensselaer Polytechnic Institute. His research areas include statistical physics and turbulence, computational science and vortex dynamics, symmetric dynamical systems, and combinational matrix theory.

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.

Reihe/Serie Springer Monographs in Mathematics
Zusatzinfo 80 Illustrations, color; 1 Illustrations, black and white; XI, 139 p. 81 illus., 80 illus. in color.
Verlagsort New York
Sprache englisch
Maße 155 x 235 mm
Themenwelt Mathematik / Informatik Informatik
Mathematik / Informatik Mathematik Analysis
Mathematik / Informatik Mathematik Angewandte Mathematik
Naturwissenschaften Physik / Astronomie Mechanik
Naturwissenschaften Physik / Astronomie Strömungsmechanik
ISBN-10 1-4939-1937-7 / 1493919377
ISBN-13 978-1-4939-1937-6 / 9781493919376
Zustand Neuware
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