The Two Dimensional Euler Equation: A Statistical Study |
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| Authors: | Fernanda Cipriano |
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| Institution: | (1) Grupo de Física-Matemática, Universidade de Lisboa, Lisboa, Portugal. E-mail: cipriano@ifm.cii.fc.ul.pt, PT |
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| Abstract: | We construct surface type measures on the level sets for the renormalized energy, which is an invariant quantity for the two
dimensional periodic Euler flow, and prove the existence of weak solutions living on such level sets. Other classes of invariant
measures for the motion are also introduced.
Received: 3 December 1997 / Accepted: 20 August 1998 |
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