With coverage ranging from basic facts to more advanced material, this volume succeeds as a complete and updated analysis of the topics related to these equations, offering a multitude of perspectives and a vast bibliography to facilitate further reading.
The Navier-Stokes equations - modeling the motion of viscous, incompressible Newtonian fluids - have been capturing the attention of an increasing number of mathematicians over the years and has now become one of the most intensely studied subjects in applied analysis.
This project is dedicated to a complete and updated mathematical analysis of fundamental topics related to these equations. Every subject will be analyzed using different approaches. The main ideas behind them as well as their differences will also be emphasized and discussed. The book aims at being self-contained, however, it will also be supported by a vast bibliography for further reading.
Giovanni P. Galdi
boundary-value problem continuum mechanics existence, uniqueness, and regularity theory fluid mechanics nonlinear partial differential equations stokes and related flows