On the long-time behavior of solutions to the 2d Euler equation

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Tarek Elgindi, Duke University, & Minerva Distinguished Visitor

 This is a Joint Princeton/IAS Analysis Seminar

We will describe a recent result on the stability of twisting in 2d Hamiltonian flows and its application to various questions concerning the long-time behavior of 2d Euler solutions. We will look at stability properties of stationary solutions, filamentation and the growth of Sobolev norms, and wandering.