Blow-up of Solutions to the Generalized Inviscid Proudman-Johnson Equation

Abstract

For arbitrary values of a parameter $\lambda \in R$, finite-time blow-up of solutions to the generalized, inviscid Proudman-Johnson equation is studied via a direct approach which involves the derivation of representation formulae for solutions to the problem.

arXiv comment33 pages. Accepted for publication in Journal of Mathematical Fluid Mechanics

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