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020 _a9783540464693
_9978-3-540-46469-3
024 7 _a10.1007/3-540-54899-8
_2doi
050 4 _aQC174.7-175.36
072 7 _aPHS
_2bicssc
072 7 _aSCI055000
_2bisacsh
072 7 _aPHS
_2thema
072 7 _aPHDT
_2thema
082 0 4 _a621
_223
245 1 0 _aLarge Scale Structures in Nonlinear Physics
_h[electronic resource] :
_bProceedings of a Workshop Held in Villefranche-sur-Mer, France 13–18 January 1991 /
_cedited by Jean-Daniel Fournier, Pierre-Louis Sulem.
264 1 _aBerlin, Heidelberg :
_bSpringer Berlin Heidelberg,
_c1991.
300 _aVIII, 356 p. 89 illus.
_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 Physics,
_x0075-8450 ;
_v392
505 0 _aThe phase-diffusion equation and its regularization for natural convective patterns -- Asymptotic time behavior of nonlinear classical field equations -- Nonlinear waves and the KAM theorem: Nonlinear degeneracies -- Homoclinic structures in open flows -- Large scale structures in kinetic plasma turbulence -- Supersonic homogeneous turbulence -- Large-scale instabilities and inverse cascades in ordinary and MHD flows at low Reynolds numbers -- From quantum fields to fractal structures: Intermittency in particle physics -- Hot QCD and the quark-gluon plasma -- New approach to the solution of nonlinear problems -- Numerical study of the transition to chaotic convection inside spherical shells -- Direct numerical simulations of natural and controlled transition of three-dimensional mixing layers -- Organized vortices as maximum entropy structures -- Spectral degeneracy and hydrodynamic stability -- Non-linear stability of plane Couette flow -- Continued-function solutions and eikonal approximations -- Quantum chaos and Sabine's law of reverberation in ergodic rooms -- Self-organized criticality, earthquakes and plate tectonics -- Psi-series and their summability for nonintegrable dynamical systems -- Bound solitons in the nonlinear Schrödinger/Ginzburg-Landau equation -- The colour of the force in the renormalized Navier-Stokes equation : A free parameter? -- Structure of homogeneous turbulence observed in a direct numerical simulation -- New results on the fine scale structure of fully developed turbulence -- On fast dynamo action in steady chaotic flows -- Magnetic structures in fast dynamo -- Rigorous wavelet analysis for multifractal sets -- Eigenfunction analysis of turbulent mixing phenomena -- Wavelets and the analysis of astronomical objects.
520 _aThis book collects together recent results on large-scale structures in non-linear science. Coherent states, convective and turbulent patterns, inverse cascades, interfaces and cooperative phenomena in fluids and plasmas are discussed, together with the implementation of concepts of statistical mechanics to particle physics and nuclear matter. Special attention is devoted to phenomena, such as mixing, which display macroscopicfeatures, even though generated by small-scale dynamical processes. In this context, homoclinic structure, the KAM theorem, Lyapunov stability,and singularities are addressed. A new perturbative technique for classical and quantum fields and new results concerning the analysis of hierarchially organized objects are presented. The book should be attractive for a large audience including engineers, mathematicians and physicists.
650 0 _aStatistical physics.
650 1 4 _aComplex Systems.
_0http://scigraph.springernature.com/things/product-market-codes/P33000
650 2 4 _aStatistical Physics and Dynamical Systems.
_0http://scigraph.springernature.com/things/product-market-codes/P19090
700 1 _aFournier, Jean-Daniel.
_eeditor.
_4edt
_4http://id.loc.gov/vocabulary/relators/edt
700 1 _aSulem, Pierre-Louis.
_eeditor.
_4edt
_4http://id.loc.gov/vocabulary/relators/edt
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9783662138366
776 0 8 _iPrinted edition:
_z9783662138359
776 0 8 _iPrinted edition:
_z9783540548997
830 0 _aLecture Notes in Physics,
_x0075-8450 ;
_v392
856 4 0 _uhttps://doi.org/10.1007/3-540-54899-8
912 _aZDB-2-PHA
912 _aZDB-2-LNP
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