Titlebook: Singularities in Fluids, Plasmas and Optics; Russel E. Caflisch,George C. Papanicolaou Book 1993 Springer Science+Business Media Dordrecht

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Book 1993vey of the state of the art in theanalysis and computation of singularities in physical problems drawnfrom fluid mechanics, plasma physics and nonlinear optics. Thesingularities include curvature singularities on fluid interfaces, theonset of turbulence in 3-D inviscid flows, focusing singularities

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Topological Transitions in Hele-Shaw Flowas the motion of unstably stratified fluid layers. In both cases, the bounding interfaces collide at a finite time, with an associated singularity in the fluid velocity. Some comparison is made with simulations of the full Hele-Shaw equations, and connections with experiments are discussed.

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Singularity Formation for Models of Axi-Symmetric Swirling Flow-symmetric swirling flow equations is numerically constructed. This solution is a traveling wave with a complex wave speed that brings a singularity from the complex plane to a real position at a finite real time. The complex-valued flow can be understood as coming from a solution Moore’s approximation for axi-symmetric swirling flow.

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Self-Similar Regimes of Subsonic Langmuir Wave Collapses”. Together, the solutions describe behavior of Langmuir wave field in the spatiotemporal vicinities of its “singularities” and provide an effective mechanism of energy dissipation from the Langmuir condensate.

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Modulational stability of periodic solutions of the Kuramoto-Sivashinsky equationf the envelope perturbations. In the linearized regime we recover a high-order version of the results of Frisch, She and Thual, (.), which shows that the periodic waves are much more stable than previously expected.

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characteristic

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1389-2185 ides a survey of the state of the art in theanalysis and computation of singularities in physical problems drawnfrom fluid mechanics, plasma physics and nonlinear optics. Thesingularities include curvature singularities on fluid interfaces, theonset of turbulence in 3-D inviscid flows, focusing sing