Blowup for model equations of fluid mechanics

Blowup for model equations of fluid mechanics

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Vu Hoang , Rice University
Fine Hall 322

In this talk, I discuss recent progress towards proving a finite time blowup for the 2D inviscid Boussinesq equations, inspired by the hyperbolic flow scenario.I will introduce various model equations for the Boussinesq system that isolate and capture possible mechanisms for singularity formation. An important theme is to achieve finite-time blowup in a controlled manner. In the second part of my talk, I describe a one-dimensional problem, which has singular solutions converging to a well-defined profile at the time of blowup.  This talk is based on joint work with B. Orcan-Ekmecki, M. Radosz, and H. Yang.