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Navier-Stokes Equations: A Mathematical Analysis is written by Giovanni P. Galdi and published by Birkhäuser. It's available with International Standard Book Number or ISBN identification 3034804857 (ISBN 10) and 9783034804851 (ISBN 13).
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.