On the invariant measures for the Ostrovsky equation

Mohamad Darwich

On the invariant measures for the Ostrovsky equation

Analysis of PDEs 2013-03-12 v1

Authors: Mohamad Darwich

Abstract

In this paper, we construct invariant measures for the Ostrovsky equation associated with conservation laws. On the other hand, we prove the local well- posedness of the initial value problem for the periodic Ostrovsky equation with initial data in $H^{s}(\mathbb{T})$ for $s>-1/2$ .

Keywords

Ostrovsky equation invariant measures conservation laws local well-posedness periodic boundary conditions initial value problem

Cite

@article{arxiv.1303.2635,
  title  = {On the invariant measures for the Ostrovsky equation},
  author = {Mohamad Darwich},
  journal= {arXiv preprint arXiv:1303.2635},
  year   = {2013}
}

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