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On Landau's Solutions of the Navier-Stokes Equations by Sverak, Vladimir is a scholarly article available to read on EtoBox.

What is On Landau's Solutions of the Navier-Stokes Equations about?

In 1944 L.D.Landau calculated a very interesting family of explicit solutions of the steady-state 3d Navier-Stokes equations. The solutions are derived under certain assumptions of symmetry, which reduce the Navier-Stokes equations to a system of ODEs. We investigate what happens when some of the symmetry conditions are dropped (and we have to deal with PDEs). Implications of these calculations for more general classes of solutions are also discussed. We also discuss the situation for general dimension.

Author

Sverak, Vladimir

Published

2006

Language

EN