Singularities in Fluids, Plasmas and Optics
 Responsibility
 edited by Russel E. Caflisch, George C. Papanicolaou.
 Imprint
 Dordrecht : Springer Netherlands, 1993.
 Physical description
 1 online resource (364 pages 6 illustrations)
 Series
 NATO ASI series. Series C, Mathematical and physical sciences ; 404.
Online
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Description
Creators/Contributors
 Author/Creator
 Caflisch, Russel E.
 Contributor
 Papanicolaou, George.
Contents/Summary
 Bibliography
 Includes bibliographical references.
 Contents

 Part I: Singularities in Fluids. Wellposed Numerical Calculations for FreeSurface Flows. On the WellPosedness of Two Fluid Interfacial Flows with Surface Tension. Can Three Dimensional Ideal Flows become Singular in a Finite Time? Singularity Formation for Models of AxiSymmetric Swirling Flow. Complex Analytic Branching Structures in Porous Media Convection. Singularities of the Velocity Field and Interaction Locality of Turbulence. Solitons, Euler's Equation, and the Geometry of Curve Motion. Asymptotic and Numerical Results for Blowingup Solutions to Semilinear Heat Equations. Scaling of a Singularity of Euler. The Rayleigh Centrifugal Instability for Vortex Rings with Swirl. Dynamics of Magnetic Vortex Rings. Morphology and Singularities of Vortex Flows. Topological Transitions in HeleShaw Flow. Part II: Singularities in Optics and Plasmas. Separatrices and Singularities. Nonlinear Dynamics of UltraCold Gas. The Interaction Representation for Nonlinear Schroedinger Equation Penleve Problem. SelfSimilar Regimes of Subsonic Langmuir Wave Collapse. Asymptotic Profiles of Blowup Solutions of the Schroedinger Equation. Modulational Stability Of PE tions of the KuramotoSivashinsky Equation. Dynamic Rescaling for Tracking Point Singularities: Application to Nonlinear Schroedinger Equation and Related Problems. Dynamic SelfFocusing of Structured Laser Beams in Plasma. Experimental Manifestation of Strong Langmuir Turbulence. On LongLived Singularities in the Nonlinear Schroedinger Equation. On Collapsing Solutions of the Nonlinear Schroedinger Equation in Supercritical Case. Sharp Criteria for Wave Collapse and Wave Collapse Ideology in Application to Optical Pulses Compression. Fluid Analogies in Optics.
 (source: Nielsen Book Data)
 Publisher's summary

"Singularities in Fluids, Plasmas and Optics", which contains the proceedings of a NATO Workshop held in Heraklion, Greece, in July 1992, provides a survey of the state of the art in the analysis and computation of singularities in physical problems drawn from fluid mechanics, plasma physics and nonlinear optics. The singularities include curvature singularities on fluid interfaces, the onset of turbulence in 3D inviscid flows, focusing singularities for laser beams, and magnetic reconnection. The highlights of the book include the nonlinear Schroedinger equation for describing laser beam focusing, the method of complex variables for the analysis and computation of singularities on fluid interfaces, and studies of singularities for the 3D Euler equations. The book is suitable for graduate students and researchers in these areas.
(source: Nielsen Book Data)
Subjects
 Subjects
 Singularities (Mathematics) > Congresses.
 Fluid mechanics > Mathematics > Congresses.
 Plasma (Ionized gases) > Mathematics > Congresses.
 Optics > Mathematics > Congresses.
 Mathematical physics > Congresses.
 Fluid mechanics > Mathematics.
 Mathematical physics.
 Optics > Mathematics.
 Plasma (Ionized gases) > Mathematics.
 Singularities (Mathematics)
Bibliographic information
 Publication date
 1993
 Title variation
 Proceedings of the NATO Advanced Research Workshop, Heraklion, Greece, July 610, 1992
 Series
 NATO ASI Series, Series C: Mathematical and Physical Sciences, 13892185 ; 404
 ISBN
 9789401120227 (electronic bk.)
 9401120226 (electronic bk.)
 0792323335 (alk. paper)
 9780792323334 (alk. paper)
 9789401048941
 9401048940