Formal expansions in stochastic model for wave turbulence 2: method of diagram decomposition (complete version)
Mathematical Physics
2022-09-09 v7 Analysis of PDEs
math.MP
Abstract
In this paper we continue to study small amplitude solutions of the damped cubic NLS equation, driven by a random force (the study was initiated in our previous work [A.Dymov, S.Kuksin, Comm. Math. Phys.'2021] and continued in [A.Dymov, S.Kuksin, A.Maiocchi, S.Vladuts, arXiv:2104.11967]). We write solutions of the equation as formal series in the amplitude and discuss the behaviour of this series under the wave turbulence limit, when the amplitude goes to zero, while the space-period goes to infinity.
Keywords
Cite
@article{arxiv.1907.02279,
title = {Formal expansions in stochastic model for wave turbulence 2: method of diagram decomposition (complete version)},
author = {Andrey Dymov and Sergei Kuksin},
journal= {arXiv preprint arXiv:1907.02279},
year = {2022}
}
Comments
61 pages