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Integrable Vortex Dynamics and Complex Burgers' Equation

Name: Integrable Vortex Dynamics and Complex Burgers' Equation
Brand: VDM Verlag
SKU: 06823833
Price: 53.8 EUR
Availability: InStock
Author: Zeynep Nilhan Gürkan
ISBN: 9783639153200

Zeynep Nilhan Gürkan

Língua

Inglês

Livro Capa mole

Código Libristo: 06823833

Editoras VDM Verlag, maio 2009

Vortex motion as an essential ingredient of the§universe structure has attracted attention of§resear... Descrição completa

Código Libristo: 06823833

130 b

53.80 €

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Vortex motion as an essential ingredient of the§universe structure has attracted attention of§researchers and philosophers from ancient to modern§times. But the mathematical description of it has§begun in XIX century with works of Hermann Helmholtz§and Gustav Kirchoff.§This book is devoted to mathematical problem of§integrable vortex dynamics as a pole dynamics in§complex plane. Starting from basic notions of a fluid§motion the authors cover the Kirchhoff equations,§C-integrable models and time dependent holomorphic§Schrödinger equation. Intriguing relations with§motion of magnetic vortices, the Chern-Simons field§theory, Calogero-Moser systems, Burgers hierarchy§and the space-time noncommutativity are presented in§a systematic way. §The book is self consistent and pedagogically written§as an introduction to the subject for students at§undergraduate and graduate level from science and§engineering specialties. Also it could be a valuable§source for researchers in the field.