000			03531nam a22005535i 4500
001			978-3-642-00837-5
003			DE-He213
005			20160624101835.0
007			cr nn 008mamaa
008			100301s2009 gw | s |||| 0|eng d
020			_a9783642008375 _9978-3-642-00837-5
024	7		_a10.1007/978-3-642-00837-5 _2doi
100	1		_aBerger, Mitchell A. _eauthor.
245	1	0	_aLectures on Topological Fluid Mechanics _h[electronic resource] / _cby Mitchell A. Berger, Louis H. Kauffman, Boris Khesin, H. Keith Moffatt, Renzo L. Ricca, De Witt Sumners ; edited by Renzo L. Ricca.
260		1	_aBerlin, Heidelberg : _bSpringer Berlin Heidelberg : _bImprint: Springer, _c2009.
264		1	_aBerlin, Heidelberg : _bSpringer Berlin Heidelberg : _bImprint: Springer, _c2009.
300			_aXII, 223 p. _bonline resource.
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
347			_atext file _bPDF _2rda
490	1		_aLecture Notes in Mathematics, _x0075-8434 ; _v1973
505	0		_aBraids and Knots -- Topological Quantities: Calculating Winding, Writhing, Linking, and Higher Order Invariants -- Tangles, Rational Knots and DNA -- The Group and Hamiltonian Descriptions of Hydrodynamical Systems -- Singularities in Fluid Dynamics and their Resolution -- Structural Complexity and Dynamical Systems -- Random Knotting: Theorems, Simulations and Applications.
520			_aHelmholtz's seminal paper on vortex motion (1858) marks the beginning of what is now called topological fluid mechanics.After 150 years of work, the field has grown considerably. In the last several decades unexpected developments have given topological fluid mechanics new impetus, benefiting from the impressive progress in knot theory and geometric topology on the one hand, and in mathematical and computational fluid dynamics on the other. This volume contains a wide-ranging collection of up-to-date, valuable research papers written by some of the most eminent experts in the field. Topics range from fundamental aspects of mathematical fluid mechanics, including topological vortex dynamics and magnetohydrodynamics, integrability issues, Hamiltonian structures and singularity formation, to DNA tangles and knotted DNAs in sedimentation. A substantial introductory chapter on knots and links, covering elements of modern braid theory and knot polynomials, as well as more advanced topics in knot classification, provides an invaluable addition to this material.
650		0	_aPhysics.
650		0	_aDifferentiable dynamical systems.
650		0	_aDifferential equations, partial.
650		0	_aTopology.
650		0	_aThermodynamics.
650	1	4	_aPhysics.
650	2	4	_aMechanics, Fluids, Thermodynamics.
650	2	4	_aDynamical Systems and Ergodic Theory.
650	2	4	_aSeveral Complex Variables and Analytic Spaces.
650	2	4	_aTopology.
700	1		_aKauffman, Louis H. _eauthor.
700	1		_aKhesin, Boris. _eauthor.
700	1		_aMoffatt, H. Keith. _eauthor.
700	1		_aRicca, Renzo L. _eauthor.
700	1		_aSumners, De Witt. _eauthor.
700	1		_aRicca, Renzo L. _eeditor.
710	2		_aSpringerLink (Online service)
773	0		_tSpringer eBooks
776	0	8	_iPrinted edition: _z9783642008368
786			_dSpringer
830		0	_aLecture Notes in Mathematics, _x0075-8434 ; _v1973
856	4	0	_uhttp://dx.doi.org/10.1007/978-3-642-00837-5
942			_2EBK1916 _cEBK
999			_c31210 _d31210