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Article Dans Une Revue (Article De Synthèse) Journal of Statistical Physics Année : 2022

Formal Expansions in Stochastic Model for Wave Turbulence 2: Method of Diagram Decomposition

Résumé

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 Dymov and Kuksin (Commun Math Phys 382:951-1014, 2021) and continued in Dymov et al. (The large-period limit for equations of discrete turbulence 2021, 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 spaceperiod goes to infinity.
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Dates et versions

hal-04463157 , version 1 (19-02-2024)

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Andrey Dymov, Sergei Kuksin. Formal Expansions in Stochastic Model for Wave Turbulence 2: Method of Diagram Decomposition. Journal of Statistical Physics, 2022, 190 (3), ⟨10.1007/s10955-022-02998-0⟩. ⟨hal-04463157⟩
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