Invariant measures and long time behaviour for the Benjamin-Ono equation III

Abstract

We complete the program developed in our previous works aiming to construct an infinite sequence of invariant measures of gaussian type associated with the conservation laws of the Benjamin-Ono equation.

References in corpus (2)

• Random data Cauchy theory for supercritical wave equations II : A global existence result
• Almost sure global well posedness for the radial nonlinear Schrodinger equation on the unit ball I: the 2D case

Cited by in corpus (7)

• Invariance of white noise for KdV on the line
• Gibbs measures of nonlinear Schrödinger equations as limits of many-body quantum states in dimensions $d\le 3$
• Transport of gaussian measures by the flow of the nonlinear Schrödinger equation
• Invariant measure and long time behavior of regular solutions of the Benjamin-Ono equation
• On the deep-water and shallow-water limits of the intermediate long wave equation from a statistical viewpoint
• Statistical Mechanics of the Periodic Benjamin-Ono Equation
• New non degenerate invariant measures for the Benjamin-Ono equation