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
Nazarenko, S. V.; Grebenev, V. N.; Medvedev, S. B.; Galtier, S. The focusing problem for the Leith model of turbulence: a self-similar solution of the third kind. (English) Zbl 1509.76038 J. Phys. A, Math. Theor. 52, No. 15, Article ID 155501, 12 p. (2019). MSC: 76F02 76F20 76S05 × Cite Format Result Cite Review PDF Full Text: DOI HAL
Chirkunov, Yu. A. Invariant submodels and exact solutions of the generalization of the Leith model of the wave turbulence. (English) Zbl 1430.35194 Acta Mech. 229, No. 10, 4045-4056 (2018). MSC: 35Q35 35B06 76F02 35A01 35C05 × 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
Grebenev, V. N.; Nazarenko, S. V.; Medvedev, S. B. Complementary remarks to properties of the energy spectrum in Leith’s model of turbulence. (English) Zbl 1538.76089 ZAMM, Z. Angew. Math. Mech. 97, No. 6, 664-669 (2017). MSC: 76F05 35K55 35K65 35B40 × Cite Format Result Cite Review PDF Full Text: DOI
Bell, N. K.; Grebenev, V. N.; Medvedev, S. B.; Nazarenko, S. V. Self-similar evolution of alfven wave turbulence. (English) Zbl 1464.76210 J. Phys. A, Math. Theor. 50, No. 43, Article ID 435501, 14 p. (2017). MSC: 76W05 76F65 35Q35 35C06 × Cite Format Result Cite Review PDF Full Text: DOI Link
Chirkunov, Yu. A. Conformal invariance and new exact solutions of the elastostatics equations. (English) Zbl 1359.74038 J. Math. Phys. 58, No. 3, 031502, 16 p. (2017). MSC: 74B10 37C85 35Q74 × Cite Format Result Cite Review PDF Full Text: DOI
Nazarenko, S. V.; Grebenev, V. N. Self-similar formation of the Kolmogorov spectrum in the Leith model of turbulence. (English) Zbl 1381.76096 J. Phys. A, Math. Theor. 50, No. 3, Article ID 035501, 9 p. (2017). MSC: 76F20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Grebenev, V. N.; Griffin, A.; Medvedev, S. B.; Nazarenko, S. V. Steady states in Leith’s model of turbulence. (English) Zbl 1349.76091 J. Phys. A, Math. Theor. 49, No. 36, Article ID 365501, 26 p. (2016). MSC: 76F02 × Cite Format Result Cite Review PDF Full Text: DOI Link