Singularities in Fluids, Plasmas and Optics

By: Russel Caflisch (Editor), George C. Papanicolaou (Editor)

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Hardcover | 30 June 1993

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364 Pages

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25.4 x 17.78 x 2.54

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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 3-D inviscid flows, focusing singularities for laser beams, and magnetic reconnection. The highlights of the book include the nonlinear Schr¶dinger 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 3-D Euler equations. The book is suitable for graduate students and researchers in these areas.

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Preface
Well-posed Numerical Calculations for Free-Surface Flows	p. 1
On the Well-Posedness of Two Fluid Interfacial Flows with Surface Tension	p. 11
Can Three-Dimensional Ideal Flows Become Singular in a Finite Time?	p. 39
Singularity Formation for Models of Axi-Symmetric Swirling Flow	p. 53
Complex Analytic Branching Structures in Porous Media Convection	p. 65
Singularities of the Velocity Field and Interaction Locality of Turbulence	p. 75
Solitons, Euler's Equation, and the Geometry of Curve Motion	p. 93
Asymptotic and Numerical Results for Blowing-up Solutions to Semilinear Heat Equations	p. 111
Scaling of a Singularity of Euler	p. 131
The Rayleigh Centrifugal Instability for Vortex Rings with Swirl	p. 137
Dynamics of Magnetic Vortex Rings	p. 151
Morphology and Singularities of Vortex Flows	p. 159
Topological Transitions in Hele-Shaw Flow	p. 167
Separatrices and Singularities	p. 189
Nonlinear Dynamics of Ultra-Cold Gas	p. 197
The Interaction Representation for Nonlinear Schrodinger Equation Penleve Problem	p. 205
Self-Similar Regimes of Subsonic Langmuir Wave Collapse	p. 213
Asymptotic Profiles of Blow-up Solutions of the Nonlinear Schrodinger Equation	p. 221
Modulational Stability of Periodic Solutions of the Kuramoto-Sivashinsky Equation	p. 255
Dynamic Rescaling for Tracking Point Singularities: Application to Nonlinear Schrodinger Equation and Related Problems	p. 265
Dynamic Self-Focusing of Structured Laser Beams in Plasma	p. 281
Experimental Manifestation of Strong Langmuir Turbulence	p. 301
On Long-Lived Singularities in the Nonlinear Shroedinger Equation	p. 309
On Collapsing Solutions of the Nonlinear Schroedinger Equation in Supercritical Case	p. 317
Sharp Criteria for Wave Collapse and Wave Collapse Ideology in Application to Optical Pulses Compression	p. 323
Fluid Analogies in Optics	p. 333
Table of Contents provided by Blackwell. All Rights Reserved.

Singularities in Fluids, Plasmas and Optics

At a Glance

Hardcover

Shipping

How to return your order

Defective items

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