Singularities in Fluids, Plasmas and Optics

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 nonli...

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Bibliographic Details
Other Authors: Caflisch, Russel (Editor), Papanicolaou, George C. (Editor)
Format: eBook
Language:English
Published: Dordrecht Springer Netherlands 1993, 1993
Edition:1st ed. 1993
Series:Nato Science Series C:, Mathematical and Physical Sciences
Subjects:
Online Access:
Collection: Springer Book Archives -2004 - Collection details see MPG.ReNa
Table of Contents:
  • I. Singularities in Fluids
  • Well-posed Numerical Calculations for Free-Surface Flows
  • On the Well-Posedness of Two Fluid Interfacial Flows with Surface Tension
  • Can Three-Dimensional Ideal Flows Become Singular in a Finite Time?
  • Singularity Formation for Models of Axi-Symmetric 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 Blowing-up 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 Hele-Shaw Flow
  • II. Singularities in Optics and Plasmas
  • Separatrices and Singularities
  • Nonlinear Dynamics of Ultra-Cold Gas
  • The Interaction Representation for Nonlinear Schrodinger Equation Penleve Problem
  • Self-Similar Regimes of Subsonic Langmuir Wave Collapse
  • Asymptotic Profiles of Blow-up Solutions of the Nonlinear Schrödinger Equation
  • Modulational Stability of Periodic Solutions of the Kuramoto-Sivashinsky Equation
  • Dynamic Rescaling for Tracking Point Singularities: Application to Nonlinear Schrödinger Equation and Related Problems
  • Dynamic Self-Focusing of Structured Laser Beams in Plasma
  • Experimental Manifestation of Strong Langmuir Turbulence
  • On Long-Lived Singularities in the Nonlinear Shroedinger 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