Double exponential growth of the vorticity gradient for the two-dimensional Euler equation

Details Double exponential growth of the vorticity gradient for the two-dimensional Euler equation Double exponential growth of the vorticity gradient for the two-dimensional Euler equation

2012-01-09

arxiv.org/abs/1201.1771v1

Mathematics

Analysis of PDEs

Scientific paper

For the two-dimensional Euler equation on the torus, we prove that the
uniform norm of the vorticity gradient can grow as double exponential over
arbitrarily long but finite time.

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