Danilov, V. G.; Gaydukov, R. K. Ice-water phase transition on a substrate. (English) Zbl 1518.76058 Russ. J. Math. Phys. 30, No. 2, 165-175 (2023). MSC: 76T30 76M45 76M20 80A22 PDFBibTeX XMLCite \textit{V. G. Danilov} and \textit{R. K. Gaydukov}, Russ. J. Math. Phys. 30, No. 2, 165--175 (2023; Zbl 1518.76058) Full Text: DOI
Danilov, V. G.; Gaydukov, R. K. Asymptotic multiscale solutions to Navier-Stokes equations with fast oscillating perturbations in boundary layers. (English) Zbl 1514.35313 Russ. J. Math. Phys. 29, No. 4, 431-455 (2022). MSC: 35Q30 76D05 76D10 35B40 35B20 PDFBibTeX XMLCite \textit{V. G. Danilov} and \textit{R. K. Gaydukov}, Russ. J. Math. Phys. 29, No. 4, 431--455 (2022; Zbl 1514.35313) Full Text: DOI
Dobrokhotov, S. Yu.; Sergeev, S. A. Asymptotics of the solution of the Cauchy problem with localized initial conditions for a wave type equation with time dispersion. I: Basic structures. (English) Zbl 1497.81051 Russ. J. Math. Phys. 29, No. 2, 149-169 (2022). MSC: 81Q05 81U30 35Q61 78A25 35P20 35S05 35G16 35B05 70H33 70G10 PDFBibTeX XMLCite \textit{S. Yu. Dobrokhotov} and \textit{S. A. Sergeev}, Russ. J. Math. Phys. 29, No. 2, 149--169 (2022; Zbl 1497.81051) Full Text: DOI
Fonareva, A. V.; Gaydukov, R. K. Nonstationary double-deck structure of boundary layers in compressible flow problem inside a channel with small irregularities on the walls. (English) Zbl 1468.76056 Russ. J. Math. Phys. 28, No. 2, 224-243 (2021). MSC: 76N20 76M45 76G25 PDFBibTeX XMLCite \textit{A. V. Fonareva} and \textit{R. K. Gaydukov}, Russ. J. Math. Phys. 28, No. 2, 224--243 (2021; Zbl 1468.76056) Full Text: DOI
Georgievskii, D. V.; Putkaradze, V. G. Evolution of perturbations imposed on 1D unsteady shear in a viscous half-plane with oscillating boundary. (English) Zbl 1446.76109 Russ. J. Math. Phys. 27, No. 2, 212-217 (2020). MSC: 76E05 76D99 PDFBibTeX XMLCite \textit{D. V. Georgievskii} and \textit{V. G. Putkaradze}, Russ. J. Math. Phys. 27, No. 2, 212--217 (2020; Zbl 1446.76109) Full Text: DOI
Dobrokhotov, S. Yu.; Nazaikinskii, V. E.; Tolchennikov, A. A. Uniform formulas for the asymptotic solution of a linear pseudodifferential equation describing water waves generated by a localized source. (English) Zbl 1448.35391 Russ. J. Math. Phys. 27, No. 2, 185-191 (2020). MSC: 35Q35 35S10 76B15 86A05 PDFBibTeX XMLCite \textit{S. Yu. Dobrokhotov} et al., Russ. J. Math. Phys. 27, No. 2, 185--191 (2020; Zbl 1448.35391) Full Text: DOI
Dobrokhotov, S. Yu.; Nazaikinskii, V. E.; Tolchennikov, A. A. Asymptotics of linear water waves generated by a localized source near the focal points on the leading edge. (English) Zbl 1432.76203 Russ. J. Math. Phys. 24, No. 4, 544-552 (2017). MSC: 76M35 76B15 86A05 PDFBibTeX XMLCite \textit{S. Yu. Dobrokhotov} et al., Russ. J. Math. Phys. 24, No. 4, 544--552 (2017; Zbl 1432.76203) Full Text: DOI
Sekerzh-Zen’kovich, S. Ya. Estimation of accuracy of an asymptotic solution of the generalized Cauchy problem for the Boussinesq equation as applied to the potential model of tsunami with a “simple” source. (English) Zbl 1432.76204 Russ. J. Math. Phys. 24, No. 4, 526-533 (2017). MSC: 76M35 35Q35 35Q86 86A15 PDFBibTeX XMLCite \textit{S. Ya. Sekerzh-Zen'kovich}, Russ. J. Math. Phys. 24, No. 4, 526--533 (2017; Zbl 1432.76204) Full Text: DOI
Dobrokhotov, S. Yu.; Sekerzh-Zen’kovich, S. Ya.; Tolchennikov, A. A. Exact and asymptotic solutions of the Cauchy-Poisson problem with localized initial conditions and a constant function of the bottom. (English) Zbl 1386.76082 Russ. J. Math. Phys. 24, No. 3, 310-321 (2017). MSC: 76E20 PDFBibTeX XMLCite \textit{S. Yu. Dobrokhotov} et al., Russ. J. Math. Phys. 24, No. 3, 310--321 (2017; Zbl 1386.76082) Full Text: DOI
Sekerzh-Zen’kovich, S. Ya. Comparison of solutions of a problem of Cauchy-Poisson type under discontinuous and smooth initial values with the marigrams of tsunami 2011 obtained from DART stations. (English) Zbl 1359.76116 Russ. J. Math. Phys. 23, No. 4, 529-535 (2016). MSC: 76E20 85A05 PDFBibTeX XMLCite \textit{S. Ya. Sekerzh-Zen'kovich}, Russ. J. Math. Phys. 23, No. 4, 529--535 (2016; Zbl 1359.76116) Full Text: DOI
Sekerzh-Zen’kovich, S. Ya. Analytic study of a potential model of tsunami with a simple source of piston type. II: Asymptotic formula for the height of tsunami in the far field. (English) Zbl 1311.76015 Russ. J. Math. Phys. 20, No. 4, 542-546 (2013). MSC: 76B15 76E20 86A17 PDFBibTeX XMLCite \textit{S. Ya. Sekerzh-Zen'kovich}, Russ. J. Math. Phys. 20, No. 4, 542--546 (2013; Zbl 1311.76015) Full Text: DOI
Dobrokhotov, S. Yu.; Sergeev, S. A.; Tirozzi, B. Asymptotic solutions of the Cauchy problem with localized initial conditions for linearized two-dimensional Boussinesq-type equations with variable coefficients. (English) Zbl 1276.76012 Russ. J. Math. Phys. 20, No. 2, 155-171 (2013); erratum ibid. 22, No. 1, 144 (2015). MSC: 76B15 35Q53 35Q35 PDFBibTeX XMLCite \textit{S. Yu. Dobrokhotov} et al., Russ. J. Math. Phys. 20, No. 2, 155--171 (2013; Zbl 1276.76012) Full Text: DOI
Dobrokhotov, S. Yu.; Tirozzi, B.; Shafarevich, A. I. Cauchy-Riemann conditions and point singularities of solutions to linearized shallow-water equations. (English) Zbl 1119.76008 Russ. J. Math. Phys. 14, No. 2, 217-223 (2007). MSC: 76B15 35Q35 35A20 76B03 76U05 PDFBibTeX XMLCite \textit{S. Yu. Dobrokhotov} et al., Russ. J. Math. Phys. 14, No. 2, 217--223 (2007; Zbl 1119.76008) Full Text: DOI
Maslov, V. P.; Shafarevich, A. I. Rapidly oscillating asymptotic solutions of the Navier-Stokes equations, coherent structures, Fomenko invariants, Kolmogorov spectrum, and flicker noise. (English) Zbl 1115.35100 Russ. J. Math. Phys. 13, No. 4, 414-424 (2006). MSC: 35Q30 35C20 76D03 76D05 PDFBibTeX XMLCite \textit{V. P. Maslov} and \textit{A. I. Shafarevich}, Russ. J. Math. Phys. 13, No. 4, 414--424 (2006; Zbl 1115.35100) Full Text: DOI