This book comprises seven chapters, an appendix, a bibliographical section 98 references,
and an index. Exercises are provided at the end of each chapter. The stated goal of the book …

The idealization of a two-dimensional, ideal flow as a collection of point vortices embedded
in otherwise irrotational flow yields a surprisingly large number of mathematical insights and …

This book is a summary of our 18-year period of joint work in the field of vortex dynamics in a
stratified rotating fluid under INTAS 94-3614 (1995–1997), INTAS/AIRBUS 04-80-7297 …

Streamline patterns and their bifurcations in two-dimensional incompressible flow are
investigated from a topological point of view. The velocity field is expanded at a point in the …

Streamline patterns and their bifurcations in two-dimensional incompressible viscous flow in
the vicinity of a fixed wall have been investigated from a topological point of view by Bakker …

A number of connections between point vortex dynamics and the properties of complex
polynomials or rational functions with roots and/or poles at the vortex positions are reviewed …

With some basis now in statistical mechanics, we turn to fluid mechanics. We want a
representation of a fluid's flow compatible with our Monte Carlo tools. We will develop these …

Recent experiments on the formation of vortex lattices in Bose–Einstein condensates has
produced the need for a mathematical theory that is capable of predicting a broader class of …

We describe the instantaneous streamline patterns that occur on the surface of a two-
dimensional sphere in the presence of point vortices of general strength for cases in which …

Vortical blood flow structures inside the heart's left ventricle (LV) play a crucial role in an
efficient blood supply from the heart to organs. Recent medical imaging and computational …