The topological properties of an object, associated with an integer called the topological
invariant, are global features that cannot change continuously but only through abrupt …

Humankind has been obsessed with knots in religion, culture and daily life for millennia,
while physicists like Gauss, Kelvin and Maxwell already involved them in models centuries …

One of the fundamental problems in simulating the motion of sharp interfaces between
immiscible fluids is a description of the transition that occurs when the interfaces merge and …

This book is a comprehensive and intensive monograph for scientists, engineers and
applied mathematicians, as well as graduate students in fluid dynamics. It starts with a brief …

Knots and links have been conjectured to play a fundamental role in a wide range of
physical fields, including plasmas and fluids, both quantum and classical. In fluids, the …

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 …

Intended for graduate students and astronomers seeking an introduction to coronal physics,
this textbook strikes a balance between the observational and theoretical aspects of the …

Pharmacovigilance is, in essence, the process of monitoring the everyday use of medicines
to identify previously unrecognized adverse drug reactions thereby assessing their …

We construct analytically, a new family of null solutions to Maxwell's equations in free space
whose field lines encode all torus knots and links. The evolution of these null fields …

A new approach to regular and chaotic fluid advection is presented that utilizes the Thurston–
Nielsen classification theorem. The prototypical two-dimensional problem of stirring by a …