Year: 2020

The equations describing the two-dimensional vortices first described by Chaplygin in 1899 and 1903 are shown to have solutions of higher order that differ from a simple dipole. It is also shown that for these higher-order vortices a very small asymmetry dramatically changes the topology of the stream function. These vortices could be important for understanding the phenomenon of atmospheric blocking.

HIGHER ORDER LAMB-CHAPLYGIN VORTICES AND ATMOSPHERIC BLOCKING

http://arxiv.org/abs/2005.08969

This explains how to introduce a PolarStreamPlot into Mathematica.  It was used for the streamline plots in this paper.

PolarStreamPlot for Mathematica

Dark matter, first postulated by Jacobus Kapteyn in 1922 and later by Fritz Zwicky in 1933, has remained an enigma ever since proof of its existence was confirmed in 1970 by Vera Rubin and Kent Ford by plotting the rotation curve for the Andromeda galaxy. Here, some concepts from string theory and topological change in quantum cosmology are used to formulate a new model for dark matter. The density profiles of dark matter halos are often modeled as an approximate solution to the Lane-Emden equation. Using the model proposed here for dark matter, coupled with previous work showing that the approximate solution to the Lane-Emden equation can be an exact solution of the Einstein-Maxwell equations, provides a new insight into the possible nature of dark matter.

Strings, Topological Change, Dark Matter V5

arXiv: http://arrive.org/abs/1909.01077