Walton, Steven; Tran, Minh-Binh; Bensoussan, Alain A deep learning approximation of non-stationary solutions to wave kinetic equations. (English) Zbl 07856332 Appl. Numer. Math. 199, 213-226 (2024). Reviewer: Dimitris P. Vartziotis (Ioannina) MSC: 35Q82 82C40 82C31 82M12 68T07 35A20 35B44 35R09 45K05 65M08 65M06 65N08 65K10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Walton, Steven; Tran, Minh-Binh A numerical scheme for wave turbulence: 3-wave kinetic equations. (English) Zbl 1518.65101 SIAM J. Sci. Comput. 45, No. 4, B467-B492 (2023). Reviewer: Abdallah Bradji (Annaba) MSC: 65M08 45K05 35R09 76F55 35Q35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Thalabard, Simon; Medvedev, Sergey; Grebenev, Vladimir; Nazarenko, Sergey Inverse cascade anomalies in fourth-order Leith models. (English) Zbl 1499.76058 J. Phys. A, Math. Theor. 55, No. 1, Article ID 015702, 26 p. (2022). MSC: 76F99 35Q35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Semisalov, B. V.; Grebenev, V. N.; Medvedev, S. B.; Nazarenko, S. V. Numerical analysis of a self-similar turbulent flow in Bose-Einstein condensates. (English) Zbl 1476.35208 Commun. Nonlinear Sci. Numer. Simul. 102, Article ID 105903, 23 p. (2021). MSC: 35Q35 76F55 35C06 35B40 35B44 35P30 41A50 82C10 35R09 65N25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Galtier, Sébastien; Nazarenko, Sergey V.; Buchlin, Éric; Thalabard, Simon Nonlinear diffusion models for gravitational wave turbulence. (English) Zbl 1448.83006 Physica D 390, 84-88 (2019). MSC: 83C35 83-08 65M06 65Z05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Vaskevich, V. L.; Shcherbakov, A. I. Convergence of the successive approximation method in the Cauchy problem for an integro-differential equation with quadratic nonlinearity. (Russian, English) Zbl 1438.65344 Mat. Tr. 21, No. 2, 136-149 (2018); translation in Sib. Adv. Math. 29, No. 2, 128-136 (2019). MSC: 65R20 41A55 45J05 45G10 × Cite Format Result Cite Review PDF Full Text: DOI
Bell, N. K.; Nazarenko, S. V. Reflected wave solution of Alfvén wave turbulence. (English) Zbl 1407.76175 J. Phys. A, Math. Theor. 51, No. 40, Article ID 405501, 11 p. (2018). MSC: 76W05 76F05 76B15 35C06 35A18 × Cite Format Result Cite Review PDF Full Text: DOI