Recent progress in the theory of the Euler and Navier-Stokes equations [E-Book] / edited by James C. Robinson (University of Warwick), José L. Rodrigo (University of Warwick), Witold Sadowski (Uniwersytet Warszawski, Poland), Alejandro Vidal-López (Xi'an Jiaotong University, China).
Robinson, James C., (editor)
Rodrigo, Jose L., (editor) / Sadowski, Witold, (editor) / Vidal-López, Alejandro, (editor)
Cambridge : Cambridge University Press, 2016
1 online resource (xiii, 232 pages)
London Mathematical Society lecture note series ; 430
Full Text
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.