Recent Progress in the Theory of the Euler and Navier-Stokes Equations EPUB

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.