Infinite superlinear growth of the gradient for the two-dimensional Euler equation

Details Infinite superlinear growth of the gradient for the two-dimensional Euler equation Infinite superlinear growth of the gradient for the two-dimensional Euler equation

2009-08-24

arxiv.org/abs/0908.3466v1

Discrete Contin. Dyn. Syst., Vol. 23, N3, 2009, 755-764

Mathematics

Analysis of PDEs

Scientific paper

10.3934/dcds.2009.23.755

For two-dimensional Euler equation on the torus, we prove that the uniform
norm of the gradient can grow superlinearly for some infinitely smooth initial
data. We also show the exponential growth of the gradient for the finite time.

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