Construction of a Gibbs measure associated to the periodic Benjamin–Ono equation
نویسندگان
چکیده
منابع مشابه
Construction of a Gibbs Measure Associated to the Periodic Benjamin-ono Equation
We define a finite Borel measure of Gibbs type, supported by the Sobolev spaces of negative indexes on the circle. The measure can be seen as a limit of finite dimensional measures. These finite dimensional measures are invariant by the ODE’s which correspond to the projection of the Benjamin-Ono equation, posed on the circle, on the first N , N ≥ 1 modes in the trigonometric bases.
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ژورنال
عنوان ژورنال: Probability Theory and Related Fields
سال: 2009
ISSN: 0178-8051,1432-2064
DOI: 10.1007/s00440-008-0197-z