Grebenëv, V. N.; Nazarenko, Sergeĭ Vital’evich; Shvab, I. V.; Chirkunov, Yuriĭ Aleksandrovich; Lazareva, G. G.; Shtyrina, Olga Vladimirovna; Medvedev, Sergeĭ Borisovich Self-similar solution to Leith’s model for the spectral density of turbulence. (Russian. English summary) Zbl 1421.76140 Vychisl. Tekhnol. 19, No. 1, 63-73 (2014). MSC: 76F99 PDFBibTeX XMLCite \textit{V. N. Grebenëv} et al., Vychisl. Tekhnol. 19, No. 1, 63--73 (2014; Zbl 1421.76140) Full Text: Link
Chirkunov, Yu. A.; Dobrokhotov, S. Yu.; Medvedev, S. B.; Minenkov, D. S. Exact solutions of one-dimensional nonlinear shallow water equations over even and sloping bottoms. (English. Russian original) Zbl 1297.76027 Theor. Math. Phys. 178, No. 3, 278-298 (2014); translation from Teor. Mat. Fiz. 178, No. 3, 322-345 (2014). MSC: 76B15 35Q35 PDFBibTeX XMLCite \textit{Yu. A. Chirkunov} et al., Theor. Math. Phys. 178, No. 3, 278--298 (2014; Zbl 1297.76027); translation from Teor. Mat. Fiz. 178, No. 3, 322--345 (2014) Full Text: DOI
Chirkunov, Yu A.; Nazarenko, S. V.; Medvedev, S. B.; Grebenev, V. N. Invariant solutions for the nonlinear diffusion model of turbulence. (English) Zbl 1426.76678 J. Phys. A, Math. Theor. 47, No. 18, Article ID 185501, 14 p. (2014). MSC: 76R50 76M60 76F99 PDFBibTeX XMLCite \textit{Y. A. Chirkunov} et al., J. Phys. A, Math. Theor. 47, No. 18, Article ID 185501, 14 p. (2014; Zbl 1426.76678) Full Text: DOI
Grebenev, V. N.; Nazarenko, S. V.; Medvedev, S. B.; Schwab, I. V.; Chirkunov, Yu A. Self-similar solution in the Leith model of turbulence: anomalous power law and asymptotic analysis. (English) Zbl 1304.35546 J. Phys. A, Math. Theor. 47, No. 2, Article ID 025501, 15 p. (2014). MSC: 35Q35 35K57 76F99 PDFBibTeX XMLCite \textit{V. N. Grebenev} et al., J. Phys. A, Math. Theor. 47, No. 2, Article ID 025501, 15 p. (2014; Zbl 1304.35546) Full Text: DOI
Chirkunov, Yu. A.; Medvedev, S. B. Conservation laws for plane steady potential barotropic flow. (English) Zbl 1291.35214 Eur. J. Appl. Math. 24, No. 6, 789-801 (2013). MSC: 35Q35 35L67 PDFBibTeX XMLCite \textit{Yu. A. Chirkunov} and \textit{S. B. Medvedev}, Eur. J. Appl. Math. 24, No. 6, 789--801 (2013; Zbl 1291.35214) Full Text: DOI