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The Blow-up Problem for the Euler Equations

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We will derive and study the Proudman-Johnson equation and the CLM equation, both of which can be considered models for three-dimensional vortex dynamics, and their generalizations. In particular, we will present new proofs and criteria for global existence in time or the creation of finite-time singularities.

This talk is part of the Applied and Computational Analysis Graduate Seminar series.

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