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" Singularities in Fluids, Plasmas and Optics "
edited by Russel E. Caflisch, George C. Papanicolaou.
Document Type
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BL
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Record Number
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728629
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Doc. No
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b548381
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Main Entry
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edited by Russel E. Caflisch, George C. Papanicolaou.
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Title & Author
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Singularities in Fluids, Plasmas and Optics\ edited by Russel E. Caflisch, George C. Papanicolaou.
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Publication Statement
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Dordrecht: Springer Netherlands, 1993
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Series Statement
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NATO ASI series., Series C,, Mathematical and physical sciences ;, 404.
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Page. NO
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(364 pages 6 illustrations)
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ISBN
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0792323335
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: 9401048940
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: 9401120226
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: 9780792323334
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: 9789401048941
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: 9789401120227
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Contents
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Preface. I: Singularities in Fluids. Well-posed Numerical Calculations for Free-Surface Flows; G. Baker, S. Tanveer. On the Well-Posedness of Two Fluid Interfacial Flows with Surface Tension; J.T. Beale, T.Y. Hou, J.S. Lowengrub. Can Three-Dimensional Ideal Flows become Singular in a Finite Time? M.E. Brachet, M. Meneguzzi, A. Vincent, H. Politano, P.L. Sulem. Singularity Formation for Models of Axi-Symmetric Swirling Flow; R.E. Caflisch, P. Smereka. Complex Analytic Branching Structures in Porous Media Convection; T. Dombre. Singularities of the Velocity Field and Interaction Locality of Turbulence; G.E. Falkovich. Solitons, Euler's Equation, and the Geometry of Curve Motion; R.E. Goldstein, D.M. Petrich. Asymptotic and Numerical Results for Blowing-up Solutions to Semilinear Heat Equations; J.B. Keller, J.S. Lowengrub. Scaling of a Singularity of Euler; R.M. Kerr. The Rayleigh Centrifugal Instability for Vortex Rings with Swirl; A. Lifschitz. Dynamics of Magnetic Vortex Rings; N. Papanicolaou. Morphology and Singularities of Vortex Flows; A. Pumir, E.D. Siggia. Topological Transitions in Hele-Shaw Flow; M.J. Shelley, R.E. Goldstein, A.I. Pesci. II: Singularities in Optics and Plasmas. Separatrices and Singularities; A. Bhattacharjee. Nonlinear Dynamics of Ultra-Cold Gas; V. Flambaum, E. Kuznetsov. The Interaction Representation for Nonlinear Schroedinger Equation Penleve Problem; G.M. Fraiman. Self-Similar Regimes of Subsonic Langmuir Wave Collapse; V.M. Malkin, V.N. Khudik. Asymptotic Profiles of Blow-up Solutions of the Nonlinear Schroedinger Equation; H. Nawa. Modulational Stability of Periodic Solutions of the Kuramoto-Sivashinsky Equation; D.T. Papageorgiou, G.C.Papanicolaou, Y.S. Smyrilis. Dynamic Rescaling for Tracking Point Singularities: Application to Nonlinear Schroedinger Equation and Related Problems; G. Papanicolaou, C. Sulem, P.L. Sulem, X.P. Wang. Dynamic Self-Focusing of Structured Laser Beams in Plasma; H.A. Rose, D.F. DuBois. Experimental Manifestation of Strong Langmuir Turbulence; A.M. Rubenchik. On Long-Lived Singularities in the Nonlinear Schroedinger Equation; V.F. Shvets, N.E. Kosmativ, B.J. LeMesurier. On Collapsing Solutions of the Nonlinear Schroedinger Equation in Supercritical Case; V.F. Shvets, N.E. Kosmatov, B.J. LeMesurier. Sharp Criteria for Wave Collapse and Wave Collapse Ideology in Application to Optical Pulses Compression; S.K. Turitsyn. Fluid Analogies in Optics; C.O. Weiss, K. Staliunas, C.P. Smith, G. Slekys, M.F.H. Tarroja.
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Abstract
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Proceedings of the NATO Advanced Research Workshop, Heraklion, Greece, July 6-10, 1992
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Subject
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Fluid mechanics -- Mathematics -- Congresses.
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Subject
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Plasma (Ionized gases) -- Mathematics -- Congresses.
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Subject
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Singularities (Mathematics) -- Congresses.
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LC Classification
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QC20.7.S54E358 1993
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Added Entry
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George Papanicolaou
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Russel E Caflisch
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Parallel Title
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Proceedings of the NATO Advanced Research Workshop, Heraklion, Greece, July 6-10, 1992
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