Singularities in Fluids, Plasmas and Optics

Preface. I: Singularities in Fluids. Well-posed Numerical Calculations for Free-Surface Flows; G. Baker, S. Tanveer. On the Well-Posedness of Two Fluid Interfacial Flows with Surface Tension; J.T. Beale, T.Y. Hou, J.S. Lowengrub. Can Three-Dimensional Ideal Flows become Singular in a Finite Time? M.E. Brachet, M. Meneguzzi, A. Vincent, H. Politano, P.L. Sulem. Singularity Formation for Models of Axi-Symmetric Swirling Flow; R.E. Caflisch, P. Smereka. Complex Analytic Branching Structures in Porous Media Convection; T. Dombre. Singularities of the Velocity Field and Interaction Locality of Turbulence; G.E. Falkovich. Solitons, Euler's Equation, and the Geometry of Curve Motion; R.E. Goldstein, D.M. Petrich. Asymptotic and Numerical Results for Blowing-up Solutions to Semilinear Heat Equations; J.B. Keller, J.S. Lowengrub. Scaling of a Singularity of Euler; R.M. Kerr. The Rayleigh Centrifugal Instability for Vortex Rings with Swirl; A. Lifschitz. Dynamics of Magnetic Vortex Rings; N. Papanicolaou. Morphology and Singularities of Vortex Flows; A. Pumir, E.D. Siggia. Topological Transitions in Hele-Shaw Flow; M.J. Shelley, R.E. Goldstein, A.I. Pesci. II: Singularities in Optics and Plasmas. Separatrices and Singularities; A. Bhattacharjee. Nonlinear Dynamics of Ultra-Cold Gas; V. Flambaum, E. Kuznetsov. The Interaction Representation for Nonlinear Schrödinger Equation Penleve Problem; G.M. Fraiman. Self-Similar Regimes of Subsonic Langmuir Wave Collapse; V.M. Malkin, V.N. Khudik. Asymptotic Profiles of Blow-up Solutions of the Nonlinear Schrödinger Equation; H. Nawa. Modulational Stability of Periodic Solutions of the Kuramoto-Sivashinsky Equation; D.T. Papageorgiou, G.C.Papanicolaou, Y.S. Smyrilis. Dynamic Rescaling for Tracking Point Singularities: Application to Nonlinear Schrödinger Equation and Related Problems; G. Papanicolaou, C. Sulem, P.L. Sulem, X.P. Wang. Dynamic Self-Focusing of Structured Laser Beams in Plasma; H.A. Rose, D.F. DuBois.