Introduction to Vortex Filaments in Equilibrium

This book presents fundamental concepts and seminal results to the study of vortex filaments in equilibrium.

It also presents new discoveries in quasi-2D vortex structures with applications to geophysical fluid dynamics and magnetohydrodynamics in plasmas.

It fills a gap in the vortex statistics literature by simplifying the mathematical introduction to this complex topic, covering numerical methods, and exploring a wide range of applications with numerous examples.

The authors have produced an introduction that is clear and easy to read, leading the reader step-by-step into this topical area.

Alongside the theoretical concepts and mathematical formulations, interesting applications are discussed.

This combination makes the text useful for students and researchers in mathematics and physics.