Propagation of Singularities for the 2D Euler Equations

Propagation of Singularities for the 2D Euler Equations

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Tarek Elgindi , Princeton University
Fine Hall 601

It is well known that the incompressible 2D Euler equations have global smooth solutions starting from smooth initial data. Existence of weak solutions is also known; however, not much is known about finer properties of weak solutions. One question we will discuss in this talk is: what can be said about solutions of the 2d Euler equations which are initially singular at only one point? Further open questions will also be discussed.