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September 15, 2026
Immunity to Chaos: How Personal Resources Help Us Cope with the Challenges of a Turbulent World
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Formal Expansions in Stochastic Model for Wave Turbulence 2: Method of Diagram Decomposition

Journal of Statistical Physics. 2023. Vol. 190. No. 1. Article 3.
Dymov A. V., Kuksin S.

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 space-period goes to infinity.

Research target: Mathematics
Language: English
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Keywords: Nonlinear Schrodinger equationнелинейное уравнение Шредингераволновая турбулентностьwave turbulenceFeynman diagramswave kinetic equationwave kinetic limitволновое кинетическое уравнениеволновой кинетический пределдиаграммы Фейнмана
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