Książki

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.

Navier-Stokes Equations: A Mathematical Analysis

I. Navier-Stokes Equations.- II. Boundary-Value Problem: Flow in Bounded Domains.- III. Boundary-Value Problem: Flow in Unbounded Domains.- IV. Time-Periodic Flow. Bounded Domains.- V. Time-Periodic Flow. Unbounded Domains.- VI. The Initial-Boundary Value Problem.- VII. Stability and Long-Time Behavior.- Bibliography._