The Navier-Stokes Equations

The Navier-Stokes equations were firmly established in the nineteenth century as the system of non-linear partial differential equations that describe the motio... » 

The Navier-Stokes equations were firmly established in the nineteenth century as the system of non-linear partial differential equations that describe the motion of most commonly occurring fluids in air and water, and since that time exact solutions have been sought by scientists. Collectively, these solutions allow a clear insight into the behaviour of fluids, providing a vehicle for novel mathematical methods and a useful check for computations in fluid dynamics, a field in which theoretical research is now dominated by computational methods. This book draws together exact solutions from widely differing sources and presents them in a coherent manner, in part by classifying solutions via their temporal and geometric constraints. «