21. Singularities in fluids, plasmas, and optics [1993]
 Dordrecht ; Boston : Kluwer Academic, c1993.
 Description
 Book — x, 348 p. : ill. ; 25 cm.
 Summary

 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)
(source: Nielsen Book Data)
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