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CNA Seminar/Colloquium/Joint Pitt-CNA Colloquium
Marshall Slemrod
UW Madison
Title: Fluids, elasticity, geometry, and wild solutions

Abstract: This talk gives a short review of recent work of A. Acharya (CMU), G.-Q. Chen (Oxford), M. Slemrod (Univ. of Wisconsin-Madison), D. Wang (Pittsburgh) on the direct connection between the 2d Euler equations of incompressible fluid flow and motion of a 2d surface in 3-dimensional Euclidean space. In particular we note how this link provides a direct application of the Nash-Kuiper non-smooth isometric embedding result which in turn provides information on ill-posedness for the initial value problem for weak solutions of the Euler equations as well as neo-Hookian elasticity. Furthermore it suggests that the Nash-Kuiper solutions may represent fluid turbulence. The work was strongly motivated by the sequence of papers of C. De Lellis and L. Szekelyhidi, Jr.

Recording: http://mm.math.cmu.edu/recordings/cna/Marshall_Slemrod_small.mp4
Date: Tuesday, April 4, 2017
Time: 1:30 pm
Location: Wean Hall 7218
Submitted by:  Ian Tice