Blow-up of Solutions to the Generalized Inviscid Proudman-Johnson Equation
Analysis of PDEs
2013-08-07 v1
Abstract
For arbitrary values of a parameter , 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.
Keywords
Cite
@article{arxiv.1306.4437,
title = {Blow-up of Solutions to the Generalized Inviscid Proudman-Johnson Equation},
author = {Alejandro Sarria and Ralph Saxton},
journal= {arXiv preprint arXiv:1306.4437},
year = {2013}
}
Comments
33 pages. Accepted for publication in Journal of Mathematical Fluid Mechanics