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Growth of solutions for QG and 2D Euler equations |
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| Authors: | Diego Cordoba Charles Fefferman |
| Institution: | Department of Mathematics, University of Chicago, Chicago, Illinois 60637 ; Department of Mathematics, Princeton University, Princeton, New Jersey 08540 |
| 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: | Quasi-geostrophic Euler and MHD equations front formation singularities |
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