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

坦白

Book 1993 method of complex variables for the analysis andcomputation of singularities on fluid interfaces, and studies ofsingularities for the 3-D Euler equations. The book is suitable forgraduate students and researchers in these areas..

種子

beta-cells

Solitons, Euler’s Equation, and the Geometry of Curve Motionsult paralleling the connection between the Nonlinear Schr?dinger equation and the motion of a vortex filament in space. The Hamiltonian structure of these integrable systems is recast in a form emphasizing the geometric interpretation in the language of curve motion. Applications of these results to physical systems are suggested.

姑姑在炫耀

Well-posed Numerical Calculations for Free-Surface Flowsll-posed; small deviations in initial conditions lead to dramatic changes in the subsequent motion. Our method is based on the analytic continuation of the equations for the location of the interface into the complex unphysical plane. Specifically in two-dimensions, we let (.(.),.(.)) be the paramet

絕緣

engrave

gratify

Singularity Formation for Models of Axi-Symmetric Swirling Flowder system in “Jordan form.” The second is a one dimensional analogue of the 2D Boussinesq system. In the third example, a complex solution of the axi-symmetric swirling flow equations is numerically constructed. This solution is a traveling wave with a complex wave speed that brings a singularity f

genesis

無法取消

conquer