000 03499nam a22005295i 4500
001 978-3-642-22895-7
003 DE-He213
005 20140220083300.0
007 cr nn 008mamaa
008 120113s2012 gw | s |||| 0|eng d
020 _a9783642228957
_9978-3-642-22895-7
024 7 _a10.1007/978-3-642-22895-7
_2doi
050 4 _aQC174.7-175.36
072 7 _aPBWR
_2bicssc
072 7 _aPHDT
_2bicssc
072 7 _aSCI012000
_2bisacsh
082 0 4 _a621
_223
100 1 _aLudu, Andrei.
_eauthor.
245 1 0 _aNonlinear Waves and Solitons on Contours and Closed Surfaces
_h[electronic resource] /
_cby Andrei Ludu.
250 _a2nd ed. 2012.
264 1 _aBerlin, Heidelberg :
_bSpringer Berlin Heidelberg :
_bImprint: Springer,
_c2012.
300 _aXVIII, 489p. 141 illus.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aSpringer Series in Synergetics,
_x0172-7389
505 0 _aIntroduction -- 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.
520 _aThis 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.
650 0 _aPhysics.
650 0 _aGlobal differential geometry.
650 0 _aMathematical physics.
650 1 4 _aPhysics.
650 2 4 _aNonlinear Dynamics.
650 2 4 _aDifferential Geometry.
650 2 4 _aMathematical Methods in Physics.
650 2 4 _aFluid- and Aerodynamics.
650 2 4 _aSoft and Granular Matter, Complex Fluids and Microfluidics.
650 2 4 _aSurface and Interface Science, Thin Films.
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9783642228940
830 0 _aSpringer Series in Synergetics,
_x0172-7389
856 4 0 _uhttp://dx.doi.org/10.1007/978-3-642-22895-7
912 _aZDB-2-PHA
999 _c102098
_d102098