2019/07/04 by Andrey Dymov, Dymov, Andrey, Sergei Kuksin +1 · 1 citation
Earth and Planetary Sciences · Economics, Econometrics and Finance · Mathematics · Physics and Astronomy · #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Meteorological Phenomena and Simulations #Nonlinear Waves and Solitons #Ocean Waves and Remote Sensing #Spectral Theory in Mathematical Physics #Stochastic processes and financial applications
paper · pdf · doi:10.48550/arxiv.1907.02279
openalex publication_date 2019/07/04 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In this paper we continue to study small amplitude solutions of the damped\ncubic NLS equation, driven by a random force (the study was initiated in our\nprevious work [A.Dymov, S.Kuksin, Comm. Math. Phys.'2021] and continued in\n[A.Dymov, S.Kuksin, A.Maiocchi, S.Vladuts, arXiv:2104.11967]). We write\nsolutions of the equation as formal series in the amplitude and discuss the\nbehaviour of this series under the wave turbulence limit, when the amplitude\ngoes to zero, while the space-period goes to infinity.\n