Singularities in Fluids, Plasmas and Optics

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.