Recent Progress in the Theory of the Euler and Navier–Stokes Equations (London Mathematical Society Lecture Note Series, Series Number 430)

The rigorous mathematical theory of the Navier–Stokes and Euler equations has been a focus of intense activity in recent years. This volume, the product of a workshop in Venice in 2013, consolidates, surveys and further advances the study of these canonical equations. It consists of a number of reviews and a selection of more traditional research articles on topics that include classical solutions to the 2D Euler equation, modal dependency for the 3D Navier–Stokes equation, zero viscosity Boussinesq equations, global regularity and finite-time singularities, well-posedness for the diffusive Burgers equations, and probabilistic aspects of the Navier–Stokes equation. The result is an accessible summary of a wide range of active research topics written by leaders in their field, together with some exciting new results. The book serves both as a helpful overview for graduate students new to the area and as a useful resource for more established researchers.

James C. Robinson is Professor of Mathematics in the Mathematics Institute at the University of Warwick.

José L. Rodrigo is Associate Professor in the Mathematics Institute at the University of Warwick.

Witold Sadowski is Assistant Professor in the Institute of Applied Mathematics at the University of Warsaw.

Alejandro Vidal-López is a Lecturer in the Department of Mathematical Sciences at Xi'an Jiaotong-Liverpool University, China.