Seminar talk, 4 October 2017

From Geometry of Differential Equations
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Speaker: Michael Roop

Title: Submerged jets and other singular solutions of the Navier-Stokes equations

The talk will discuss flows of incompressible fluid in the gravity field. For different subalgebras of the symmetry algebra we construct invariant solutions with singularities at a given point and on the axis. In particular, the classical examples of submerged jets of Landau, Broman, and Rudenko are considered. We also discuss the application of asymptotic methods to obtaining submerged jet solutions.