Growth of solutions for QG and 2D Euler equations
- 27 February 2002
- journal article
- Published by American Mathematical Society (AMS) in Journal of the American Mathematical Society
- Vol. 15 (3), 665-670
- https://doi.org/10.1090/s0894-0347-02-00394-6
Abstract
We study the rate of growth of sharp fronts of the Quasi-geostrophic equation and 2D incompressible Euler equations. The development of sharp fronts are due to a mechanism that piles up level sets very fast. Under a semi-uniform collapse, we obtain a lower bound on the minimum distance between the level sets.Keywords
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