Allilueva, A. I.; Shafarevich, A. I. Maslov’s complex germ in the Cauchy problem for a wave equation with a jumping velocity. (English) Zbl 1490.35510 Russ. J. Math. Phys. 29, No. 1, 1-10 (2022). MSC: 35Q99 35P25 35C20 35L15 35K15 PDF BibTeX XML Cite \textit{A. I. Allilueva} and \textit{A. I. Shafarevich}, Russ. J. Math. Phys. 29, No. 1, 1--10 (2022; Zbl 1490.35510) Full Text: DOI OpenURL
Allilueva, A. I.; Shafarevich, A. I. Reflection and refraction of Lagrangian manifolds corresponding to short-wave solutions of the wave equation with an abruptly varying velocity. (English) Zbl 1468.35033 Russ. J. Math. Phys. 28, No. 2, 137-146 (2021). MSC: 35C20 35C10 35L15 PDF BibTeX XML Cite \textit{A. I. Allilueva} and \textit{A. I. Shafarevich}, Russ. J. Math. Phys. 28, No. 2, 137--146 (2021; Zbl 1468.35033) Full Text: DOI OpenURL
Allilueva, A. I.; Shafarevich, A. I. Short-wave asymptotic solutions of the wave equation with localized perturbations of the velocity. (English) Zbl 1441.35150 Russ. J. Math. Phys. 27, No. 2, 145-154 (2020). MSC: 35L15 35B27 PDF BibTeX XML Cite \textit{A. I. Allilueva} and \textit{A. I. Shafarevich}, Russ. J. Math. Phys. 27, No. 2, 145--154 (2020; Zbl 1441.35150) Full Text: DOI OpenURL
Shafarevich, A. I. Behavior of rapidly decreasing asymptotic solutions of linearized Navier-Stokes equations at \(t\to\infty\). (English. Russian original) Zbl 0929.35107 Math. Notes 55, No. 6, 632-647 (1994); translation from Mat. Zametki 55, No. 6, 124-145 (1994). MSC: 35Q30 76D05 35B40 PDF BibTeX XML Cite \textit{A. I. Shafarevich}, Math. Notes 55, No. 6, 1 (1994; Zbl 0929.35107); translation from Mat. Zametki 55, No. 6, 124--145 (1994) Full Text: DOI OpenURL
Shafarevich, A. I. Quasiclassical scattering of wave packets on a narrow band in which the potential rapidly changes. (English. Russian original) Zbl 0689.35080 Math. Notes 45, No. 1-2, 72-77 (1989); translation from Mat. Zametki 45, No. 1, 106-114 (1989). Reviewer: D.R.Yafaev MSC: 35Q99 35B40 35K15 35P25 PDF BibTeX XML Cite \textit{A. I. Shafarevich}, Math. Notes 45, No. 1--2, 72--77 (1989; Zbl 0689.35080); translation from Mat. Zametki 45, No. 1, 106--114 (1989) Full Text: DOI OpenURL