Lyalinov, M. A.; Polyanskaya, S. V. The wave field near a narrow convex impedance cone completely illuminated by a plane incident wave. (English. Russian original) Zbl 1426.78005 J. Math. Sci., New York 238, No. 5, 689-700 (2019); translation from Zap. Nauchn. Semin. POMI 461, 195-211 (2017). MSC: 78A20 35J05 78A45 PDF BibTeX XML Cite \textit{M. A. Lyalinov} and \textit{S. V. Polyanskaya}, J. Math. Sci., New York 238, No. 5, 689--700 (2019; Zbl 1426.78005); translation from Zap. Nauchn. Semin. POMI 461, 195--211 (2017) Full Text: DOI OpenURL
Lyalinov, M. A.; Zhu, N. Ya. Scattering of an electromagnetic surface wave from a Hertzian dipole by the edge of an impedance wedge. (English. Russian original) Zbl 1382.78012 J. Math. Sci., New York 226, No. 6, 768-778 (2017); translation from Zap. Nauchn. Semin. POMI 451, 116-133 (2016). MSC: 78A50 78A05 78A45 78A40 PDF BibTeX XML Cite \textit{M. A. Lyalinov} and \textit{N. Ya. Zhu}, J. Math. Sci., New York 226, No. 6, 768--778 (2017; Zbl 1382.78012); translation from Zap. Nauchn. Semin. POMI 451, 116--133 (2016) Full Text: DOI OpenURL
Lyalinov, Mikhail A. Electromagnetic scattering by a plane angular sector. I: Diffraction coefficients of the spherical wave from the vertex. (English) Zbl 1454.78021 Wave Motion 55, 10-34 (2015). MSC: 78A45 PDF BibTeX XML Cite \textit{M. A. Lyalinov}, Wave Motion 55, 10--34 (2015; Zbl 1454.78021) Full Text: DOI OpenURL
Lyalinov, Mikhail A. Electromagnetic scattering by a circular impedance cone: diffraction coefficients and surface waves. (English) Zbl 1305.78010 IMA J. Appl. Math. 79, No. 3, 393-430 (2014). Reviewer: Jiguang Sun (Dover) MSC: 78A45 35Q60 45B05 35B40 PDF BibTeX XML Cite \textit{M. A. Lyalinov}, IMA J. Appl. Math. 79, No. 3, 393--430 (2014; Zbl 1305.78010) Full Text: DOI OpenURL
Lyalinov, Mikhail A. Scattering of acoustic waves by a sector. (English) Zbl 1454.76082 Wave Motion 50, No. 4, 739-762 (2013). MSC: 76Q05 78A45 35J05 35P25 PDF BibTeX XML Cite \textit{M. A. Lyalinov}, Wave Motion 50, No. 4, 739--762 (2013; Zbl 1454.76082) Full Text: DOI OpenURL
Lyalinov, Mikhail A.; Zhu, Ning Yan Electromagnetic scattering of a dipole-field by an impedance wedge. I: Far-field space waves. (English) Zbl 1370.78126 IEEE Trans. Antennas Propag. 61, No. 1, 329-337 (2013). MSC: 78A45 78M35 PDF BibTeX XML Cite \textit{M. A. Lyalinov} and \textit{N. Y. Zhu}, IEEE Trans. Antennas Propag. 61, No. 1, 329--337 (2013; Zbl 1370.78126) Full Text: DOI OpenURL
Lyalinov, M. A.; Polyanskaya, S. V. Scattering and radiation of waves by a thin toroidal tube with semi-transparent walls: an asymptotic model. (English) Zbl 1238.78008 J. Phys. A, Math. Theor. 44, No. 33, 17 p. (2011). Reviewer: Robert F. Remis (Delft) MSC: 78A40 78A45 35J05 PDF BibTeX XML Cite \textit{M. A. Lyalinov} and \textit{S. V. Polyanskaya}, J. Phys. A, Math. Theor. 44, No. 33, 17 p. (2011; Zbl 1238.78008) Full Text: DOI OpenURL
Lyalinov, M. A.; Zhu, N. Y.; Smyshlyaev, V. P. Scattering of a plane electromagnetic wave by a hollow circular cone with thin semi-transparent walls. (English) Zbl 1214.35067 IMA J. Appl. Math. 75, No. 5, 676-719 (2010). MSC: 35Q60 35J05 78A45 39A14 65R20 35C15 PDF BibTeX XML Cite \textit{M. A. Lyalinov} et al., IMA J. Appl. Math. 75, No. 5, 676--719 (2010; Zbl 1214.35067) Full Text: DOI Link OpenURL
Bernard, J. M. L.; Lyalinov, Mikhail A.; Zhu, Ning Yan Analytical-numerical calculation of diffraction coefficients for a circular impedance cone. (English) Zbl 1369.78143 IEEE Trans. Antennas Propag. 56, No. 6, 1616-1623 (2008). MSC: 78A45 PDF BibTeX XML Cite \textit{J. M. L. Bernard} et al., IEEE Trans. Antennas Propag. 56, No. 6, 1616--1623 (2008; Zbl 1369.78143) Full Text: DOI OpenURL
Grikurov, V. E.; Lyalinov, M. A. Diffraction of the surface \(H\)-polarized wave by an angular break of a thin dielectric slab. (English. Russian original) Zbl 1288.78018 J. Math. Sci., New York 155, No. 3, 390-396 (2008); translation from Zap. Nauchn. Semin. POMI 354, 100-111 (2008). MSC: 78A45 35Q60 PDF BibTeX XML Cite \textit{V. E. Grikurov} and \textit{M. A. Lyalinov}, J. Math. Sci., New York 155, No. 3, 390--396 (2008; Zbl 1288.78018); translation from Zap. Nauchn. Semin. POMI 354, 100--111 (2008) Full Text: DOI OpenURL
Lyalinov, Mikhail A.; Zhu, Ning Yan Diffraction of a skew incident plane electromagnetic wave by an impedance wedge. (English) Zbl 1231.78028 Wave Motion 44, No. 1, 21-43 (2006). MSC: 78A45 PDF BibTeX XML Cite \textit{M. A. Lyalinov} and \textit{N. Y. Zhu}, Wave Motion 44, No. 1, 21--43 (2006; Zbl 1231.78028) Full Text: DOI OpenURL
Lyalinov, M. A. Generalized Sommerfeld integral and diffraction in an angle-shaped domain with a radial perturbation. (English) Zbl 1086.81079 J. Phys. A, Math. Gen. 38, No. 43, L707-L714 (2005). MSC: 81U99 78A45 PDF BibTeX XML Cite \textit{M. A. Lyalinov}, J. Phys. A, Math. Gen. 38, No. 43, L707--L714 (2005; Zbl 1086.81079) Full Text: DOI OpenURL
Lyalinov, M. A. On an integral equation in the problem of the diffraction of a plane wave by a transparent circular cone. (Russian, English) Zbl 1130.76071 J. Math. Sci., New York 132, No. 1, 56-68 (2006); translation from Zap. Nauchn. Semin. POMI 308, 101-123, 253-254 (2004). MSC: 76Q05 35J05 45E99 78A45 PDF BibTeX XML Cite \textit{M. A. Lyalinov}, J. Math. Sci., New York 132, No. 1, 101--123, 253--254 (2004; Zbl 1130.76071); translation from Zap. Nauchn. Semin. POMI 308, 101--123, 253--254 (2004) Full Text: DOI EuDML OpenURL
Bernard, J. M. L.; Lyalinov, M. A. Electromagnetic scattering by a smooth convex impedance cone. (English) Zbl 1115.78005 IMA J. Appl. Math. 69, No. 3, 285-333 (2004). MSC: 78A45 35Q60 PDF BibTeX XML Cite \textit{J. M. L. Bernard} and \textit{M. A. Lyalinov}, IMA J. Appl. Math. 69, No. 3, 285--333 (2004; Zbl 1115.78005) Full Text: DOI OpenURL
Lyalinov, M. A. Diffraction of the plane wave by an impedance cone. (English. Russian original) Zbl 1081.78009 J. Math. Sci., New York 127, No. 6, 2446-2460 (2005); translation from Zap. Nauchn. Semin. POMI 297, 191-215 (2003). Reviewer: Xavier Antoine (Vandœuvre-lès-Nancy) MSC: 78A45 35C15 35J05 74J20 76Q05 PDF BibTeX XML Cite \textit{M. A. Lyalinov}, J. Math. Sci., New York 127, No. 6, 2446--2460 (2003; Zbl 1081.78009); translation from Zap. Nauchn. Semin. POMI 297, 191--215 (2003) Full Text: DOI OpenURL
Lyalinov, Mikhail A.; Zhu, Ning Yan A solution procedure for second-order difference equations and its application to electromagnetic-wave diffraction in a wedge-shaped region. (English) Zbl 1092.78008 Proc. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 459, No. 2040, 3159-3180 (2003). MSC: 78A45 39A05 PDF BibTeX XML Cite \textit{M. A. Lyalinov} and \textit{N. Y. Zhu}, Proc. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 459, No. 2040, 3159--3180 (2003; Zbl 1092.78008) Full Text: DOI OpenURL
Lyalinov, M. A.; Polyanskaya, S. V. Diffraction of the plane wave on a periodic grating composed of thin chiral half-planes. (English. Russian original) Zbl 1062.78007 J. Math. Sci., New York 122, No. 5, 3530-3538 (2004); translation from Zap. Nauchn. Semin. POMI 285, 135-149 (2002). MSC: 78A45 35Q15 PDF BibTeX XML Cite \textit{M. A. Lyalinov} and \textit{S. V. Polyanskaya}, J. Math. Sci., New York 122, No. 5, 3530--3538 (2002; Zbl 1062.78007); translation from Zap. Nauchn. Semin. POMI 285, 135--149 (2002) Full Text: DOI OpenURL
Bernard, J. M. L.; Lyalinov, M. A. Spectral domain solution and asymptotics for the diffraction by an impedance cone. (English) Zbl 1002.78510 IEEE Trans. Antennas Propag. 49, No. 12, 1633-1637 (2001). MSC: 78A45 78M35 PDF BibTeX XML Cite \textit{J. M. L. Bernard} and \textit{M. A. Lyalinov}, IEEE Trans. Antennas Propag. 49, No. 12, 1633--1637 (2001; Zbl 1002.78510) Full Text: DOI OpenURL
Bernard, J. M. L.; Lyalinov, M. A. Diffraction of scalar waves by an impedance cone of arbitrary cross-section. (English) Zbl 1074.78516 Wave Motion 33, No. 2, 155-181 (2001). MSC: 78A45 76Q05 PDF BibTeX XML Cite \textit{J. M. L. Bernard} and \textit{M. A. Lyalinov}, Wave Motion 33, No. 2, 155--181 (2001; Zbl 1074.78516) Full Text: DOI OpenURL
Lyalinov, M. A. Diffraction of a plane electromagnetic wave obliquely incident on the edge of an impedance wedge: the uniqueness of a classical solution. (English. Russian original) Zbl 1032.78010 J. Math. Sci., New York 111, No. 5, 3732-3736 (2002); translation from Zap. Nauchn. Semin. POMI 264, 189-196 (2000). MSC: 78A45 PDF BibTeX XML Cite \textit{M. A. Lyalinov}, J. Math. Sci., New York 111, No. 5, 1 (2000; Zbl 1032.78010); translation from Zap. Nauchn. Semin. POMI 264, 189--196 (2000) Full Text: DOI OpenURL
Grikurov, V. E.; Lyalinov, M. A.; Neittaanmäki, P.; Plamenevskii, B. A. On surface waves in diffraction gratings. (English) Zbl 0964.78006 Math. Methods Appl. Sci. 23, No. 17, 1513-1535 (2000). Reviewer: Ll.G.Chambers (Bangor) MSC: 78A45 81U20 PDF BibTeX XML Cite \textit{V. E. Grikurov} et al., Math. Methods Appl. Sci. 23, No. 17, 1513--1535 (2000; Zbl 0964.78006) Full Text: DOI OpenURL
Lyalinov, Mikhail A.; Zhu, Ning Yan Diffraction of a skewly incident plane wave by an anisotropic impedance wedge – a class of exactly solvable cases. (English) Zbl 1067.78501 Wave Motion 30, No. 3, 275-288 (1999). MSC: 78A45 PDF BibTeX XML Cite \textit{M. A. Lyalinov} and \textit{N. Y. Zhu}, Wave Motion 30, No. 3, 275--288 (1999; Zbl 1067.78501) Full Text: DOI OpenURL
Lyalinov, M. A. Scattering of waves by an expanding contour. (English. Russian original) Zbl 0978.35037 J. Math. Sci., New York 108, No. 5, 746-751 (2002); translation from Zap. Nauchn. Semin. POMI. 257, 149-156 (1999). MSC: 35P25 35Q60 78A45 PDF BibTeX XML Cite \textit{M. A. Lyalinov}, J. Math. Sci., New York 108, No. 5, 746--751 (1999; Zbl 0978.35037); translation from Zap. Nauchn. Semin. POMI. 257, 149--156 (1999) Full Text: DOI OpenURL
Bernard, J. M. L.; Lyalinov, M. A. The leading asymptotic term for the scattering diagram in the problem of diffraction by a narrow circular impedance cone. (English) Zbl 0930.35169 J. Phys. A, Math. Gen. 32, No. 4, L43-L48 (1999). MSC: 35Q60 78A45 PDF BibTeX XML Cite \textit{J. M. L. Bernard} and \textit{M. A. Lyalinov}, J. Phys. A, Math. Gen. 32, No. 4, L\, 43-L\, 48 (1999; Zbl 0930.35169) Full Text: DOI OpenURL
Lyalinov, M. A. Diffraction by a highly contrast transparent wedge. (English) Zbl 0937.78006 J. Phys. A, Math. Gen. 32, No. 11, 2183-2206 (1999). MSC: 78A45 35Q60 PDF BibTeX XML Cite \textit{M. A. Lyalinov}, J. Phys. A, Math. Gen. 32, No. 11, 2183--2206 (1999; Zbl 0937.78006) Full Text: DOI OpenURL
Babich, V. M.; Lyalinov, M. A. Scattering of waves by an expanding surface. (English. Russian original) Zbl 0982.78011 J. Math. Sci., New York 102, No. 4, 4147-4165 (2000); translation from Zap. Nauchn. Semin. POMI 250, 35-48 (1998). Reviewer: A.Jeffrey (Newcastle upon Tyne) MSC: 78A45 35Q60 35L05 PDF BibTeX XML Cite \textit{V. M. Babich} and \textit{M. A. Lyalinov}, J. Math. Sci., New York 102, No. 4, 4157--4165 (1998; Zbl 0982.78011); translation from Zap. Nauchn. Semin. POMI 250, 35--48 (1998) Full Text: DOI OpenURL
Lyalinov, M. A. Explicit solvability of a class of Maliuzhinets’ equations with matrix coefficients. (English) Zbl 0928.39011 J. Phys. A, Math. Gen. 30, No. 23, L797-L802 (1997). MSC: 39B42 78A45 PDF BibTeX XML Cite \textit{M. A. Lyalinov}, J. Phys. A, Math. Gen. 30, No. 23, L797--L802 (1997; Zbl 0928.39011) Full Text: DOI OpenURL
Lyalinov, M. A. Asymptotics of wave field in the problem of diffraction on a planar junction of two thin layers and boundary-contact conditions. (Russian. English summary) Zbl 0889.35108 Babich, V. M. (ed.), Mathematical questions of the theory of wave propagation. 25. Work collection. Sankt-Peterburg: Nauka. Zap. Nauchn. Semin. POMI. 230, 157-171 (1995). MSC: 35Q60 78A45 35C20 PDF BibTeX XML OpenURL
Lyalinov, M. A. Perturbation method in eletromagnetic vector problems of diffraction by a wedge. (Russian. English summary) Zbl 0888.35118 Babich, V. M. (ed.), Mathematical questions of the theory of wave propagation. 25. Work collection. Sankt-Peterburg: Nauka. Zap. Nauchn. Semin. POMI. 230, 138-156 (1995). MSC: 35Q60 78A45 47H09 39B62 PDF BibTeX XML OpenURL
Lyalinov, M. A. Wave-field asymptotics in the problem of diffraction by a planar junction of thin layers and boundary-contact conditions. (English. Russian original) Zbl 0902.35114 J. Math. Sci., New York 91, No. 2, 2802-2811 (1998); translation from Zap. Nauchn. Semin. POMI 230, 157-171 (1995). MSC: 35Q60 78A45 35C20 PDF BibTeX XML Cite \textit{M. A. Lyalinov}, J. Math. Sci., New York 91, No. 2, 2802--2811 (1995; Zbl 0902.35114); translation from Zap. Nauchn. Semin. POMI 230, 157--171 (1995) Full Text: DOI EuDML OpenURL
Lyalinov, M. A. Method of perturbations in vector eletromagnetic problems of diffraction by a wedge. (English. Russian original) Zbl 0902.35113 J. Math. Sci., New York 91, No. 2, 2790-2801 (1998); translation from Zap. Nauchn. Semin. POMI 230, 138-156 (1995). MSC: 35Q60 78A45 47H09 39B62 PDF BibTeX XML Cite \textit{M. A. Lyalinov}, J. Math. Sci., New York 91, No. 2, 2790--2801 (1995; Zbl 0902.35113); translation from Zap. Nauchn. Semin. POMI 230, 138--156 (1995) Full Text: DOI OpenURL
Lyalinov, M. A. Diffraction of wave by cylindrical surface with discontinuous impedance. (English. Russian original) Zbl 0872.35114 J. Math. Sci., New York 83, No. 2, 271-277 (1997); translation from Zap. Nauchn. Semin. POMI 210, 164-174 (1994). MSC: 35Q60 78A45 PDF BibTeX XML Cite \textit{M. A. Lyalinov}, J. Math. Sci., New York 83, No. 1, 164--174 (1994; Zbl 0872.35114); translation from Zap. Nauchn. Semin. POMI 210, 164--174 (1994) Full Text: DOI OpenURL
Lyalinov, M. A. On one approach to an electromagnetic diffraction problem in a wedge shaped region. (English) Zbl 0850.78008 J. Phys. A, Math. Gen. 27, No. 6, L183-L189 (1994). MSC: 78A45 PDF BibTeX XML Cite \textit{M. A. Lyalinov}, J. Phys. A, Math. Gen. 27, No. 6, L183--L189 (1994; Zbl 0850.78008) Full Text: DOI OpenURL
Lyalinov, M. A. Diffraction of wave by cylindrical surface with discontinuous impedance. (Russian. English summary) Zbl 0869.35101 Zap. Nauchn. Semin. POMI 210, 164-174 (1994). MSC: 35Q60 78A45 PDF BibTeX XML Cite \textit{M. A. Lyalinov}, Zap. Nauchn. Semin. POMI 210, 164--174 (1994; Zbl 0869.35101) Full Text: EuDML OpenURL
Lyalinov, M. A.; Vardapetyan, L. G. Diffraction of a plane electromagnetic wave obliquely incident upon the edge of a wedge with a dielectric coating. (English. Russian original) Zbl 0933.78005 J. Math. Sci., New York 86, No. 3, 2705-2720 (1997); translation from Zap. Nauchn. Semin. POMI 218, 72-95 (1994). MSC: 78A45 39B05 PDF BibTeX XML Cite \textit{M. A. Lyalinov} and \textit{L. G. Vardapetyan}, J. Math. Sci., New York 86, No. 3, 1 (1994; Zbl 0933.78005); translation from Zap. Nauchn. Semin. POMI 218, 72--95 (1994) Full Text: DOI OpenURL
Buldyrev, V. S.; Lyalinov, M. A. Asymptotic theory of the reflection of electromagnetic radiation by moderately and highly conductive bodies. (English. Russian original) Zbl 0844.35122 J. Math. Sci., New York 79, No. 4, 1203-1211 (1996); translation from Zap. Nauchn. Semin. POMI 203, 68-82 (1992). MSC: 35Q60 78A40 35P25 PDF BibTeX XML Cite \textit{V. S. Buldyrev} and \textit{M. A. Lyalinov}, J. Math. Sci., New York 79, No. 1, 68--82 (1992; Zbl 0844.35122); translation from Zap. Nauchn. Semin. POMI 203, 68--82 (1992) Full Text: DOI OpenURL
Buldyrev, V. S.; Lyalinov, M. A. Asymptotic theory of reflection of electromagnetic radiation by moderately and well conducting bodies. (Russian. English summary) Zbl 0810.35124 Zap. Nauchn. Semin. POMI 203, 68-82 (1992). MSC: 35Q60 78A40 35P25 PDF BibTeX XML Cite \textit{V. S. Buldyrev} and \textit{M. A. Lyalinov}, Zap. Nauchn. Semin. POMI 203, 68--82 (1992; Zbl 0810.35124) Full Text: EuDML OpenURL
Lyalinov, Mikhail A. High-frequency asymptotics of a wave field scattered by an absorbing convex body in an illuminated penumbra. (Russian. English summary) Zbl 1268.78009 Vestn. Leningrad. Univ., Ser. 4, Fiz. Khim. 1988, No. 1, 24-29 (1988). MSC: 78A45 PDF BibTeX XML Cite \textit{M. A. Lyalinov}, Vestn. Leningrad. Univ., Ser. 4, Fiz. Khim. 1988, No. 1, 24--29 (1988; Zbl 1268.78009) OpenURL
Buldyrev, V. S.; Lyalinov, M. A. An asymptotic boundary condition on the surface of an absorbing convex body. (Russian. English summary) Zbl 1268.78005 Vestn. Leningrad. Univ., Ser. 4, Fiz. Khim. 1987, No. 2, 10-16 (1987). MSC: 78A40 PDF BibTeX XML Cite \textit{V. S. Buldyrev} and \textit{M. A. Lyalinov}, Vestn. Leningrad. Univ., Ser. 4, Fiz. Khim. 1987, No. 2, 10--16 (1987; Zbl 1268.78005) OpenURL