The Navier-Stokes equations were firmly established in the 19th
Century as the system of nonlinear partial differential equations
which 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 behavior 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 2006 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. It will prove to be a valuable
resource to all who have an interest in the subject of fluid
mechanics, and in particular to those who are learning or teaching
the subject at the senior undergraduate and graduate levels.
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