## Lyalinov, Mikhail Anatolievich

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 Author ID: lyalinov.mikhail-anatolievich Published as: Lyalinov, M. A.; Lyalinov, Mikhail A.; Lyalinov, Mikhail Anatolievich External Links: ORCID
 Documents Indexed: 58 Publications since 1987 Co-Authors: 39 Co-Authors with 27 Joint Publications 1,362 Co-Co-Authors
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### Co-Authors

 31 single-authored 9 Zhu, Ning Yan 5 Bernard, J. M. L. 4 Buldyrev, V. S. 4 Polyanskaya, Svetlana V. 2 Babich, Vasiliĭ Mikhaĭlovich 2 Dobrokhotov, Sergei Yurievich 2 Grikurov, Valery E. 2 Smyshlyaev, Valery P. 1 Belishev, Mikhail Igorevitch 1 Chernous’ko, Feliks Leonidovich 1 Escamilla Reyna, Juan Alberto 1 Fradkin, L. Yu. 1 Frost, V. A. 1 Ibragimov, Il’dar Abdullovich 1 Kaloshin, V. A. 1 Kislyakov, Sergeĭ Vital’evich 1 Klimov, Dmitrij M. 1 Kryukovskij, A. S. 1 Kucherenko, Valeri V. 1 Lukin, Dmitry S. 1 Maslov, Viktor Pavlovich 1 Matiyasevich, Yuriĭ Vladimirovich 1 Mendoza Torres, Francisco Javier 1 Molotkov, I. A. 1 Neittaanmäki, Pekka J. 1 Pavlov, Boris Sergeevich 1 Plamenevskiĭ, Boris Alekseevich 1 Popov, Aleksandr Leonidovich 1 Rabinovich, Vladimir Samuilovich 1 Romanov, Vladimir Gavrilovich 1 Sánchez Perales, Salvador 1 Sekerzh-Zen’kovich, Sergeĭ Yakovlevich 1 Shafarevich, Andreĭ Igorevich 1 Sintsova, Ksenia 1 Sturova, Izolda V. 1 Suslina, Tat’yana Aleksandrovna 1 Ural’tseva, Nina Nikolaevna 1 Vardapetyan, L. G. 1 Vishik, Marko Iosifovich
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### Serials

 19 Journal of Mathematical Sciences (New York) 9 Wave Motion 5 IMA Journal of Applied Mathematics 5 Journal of Physics A: Mathematical and General 3 IEEE Transactions on Antennas and Propagation 2 Zapiski Nauchnykh Seminarov POMI 2 Russian Journal of Mathematical Physics 2 St. Petersburg Mathematical Journal 2 Vestnik Leningradskogo Universiteta. Seriya 4. Fizika, Khimiya 1 Journal of Engineering Mathematics 1 Journal of Fluid Mechanics 1 Mathematical Methods in the Applied Sciences 1 Russian Mathematical Surveys 1 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 1 Journal of Physics A: Mathematical and Theoretical 1 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
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### Fields

 39 Optics, electromagnetic theory (78-XX) 33 Partial differential equations (35-XX) 13 Fluid mechanics (76-XX) 7 Difference and functional equations (39-XX) 4 Integral equations (45-XX) 3 Quantum theory (81-XX) 2 History and biography (01-XX) 2 Operator theory (47-XX) 2 Numerical analysis (65-XX) 2 Mechanics of deformable solids (74-XX) 1 Special functions (33-XX) 1 Integral transforms, operational calculus (44-XX)

### Citations contained in zbMATH Open

31 Publications have been cited 121 times in 50 Documents Cited by Year
Diffraction of scalar waves by an impedance cone of arbitrary cross-section. Zbl 1074.78516
Bernard, J. M. L.; Lyalinov, M. A.
2001
Electromagnetic scattering by a smooth convex impedance cone. Zbl 1115.78005
Bernard, J. M. L.; Lyalinov, M. A.
2004
Scattering of a plane electromagnetic wave by a hollow circular cone with thin semi-transparent walls. Zbl 1214.35067
Lyalinov, M. A.; Zhu, N. Y.; Smyshlyaev, V. P.
2010
A solution procedure for second-order difference equations and its application to electromagnetic-wave diffraction in a wedge-shaped region. Zbl 1092.78008
Lyalinov, Mikhail A.; Zhu, Ning Yan
2003
Analytical-numerical calculation of diffraction coefficients for a circular impedance cone. Zbl 1369.78143
Bernard, J. M. L.; Lyalinov, Mikhail A.; Zhu, Ning Yan
2008
Acoustic scattering of a plane wave by a circular penetrable cone. Zbl 1229.76097
Lyalinov, M. A.
2011
Diffraction of a skew incident plane electromagnetic wave by an impedance wedge. Zbl 1231.78028
Lyalinov, Mikhail A.; Zhu, Ning Yan
2006
Acoustic scattering by a circular semi-transparent conical surface. Zbl 1131.76047
Lyalinov, Mikhail Anatolievich; Zhu, Ning Yan
2007
The leading asymptotic term for the scattering diagram in the problem of diffraction by a narrow circular impedance cone. Zbl 0930.35169
Bernard, J. M. L.; Lyalinov, M. A.
1999
Spectral domain solution and asymptotics for the diffraction by an impedance cone. Zbl 1002.78510
Bernard, J. M. L.; Lyalinov, M. A.
2001
On one approach to an electromagnetic diffraction problem in a wedge shaped region. Zbl 0850.78008
Lyalinov, M. A.
1994
Diffraction of the plane wave by an impedance cone. Zbl 1081.78009
Lyalinov, M. A.
2003
Scattering of acoustic waves by a sector. Zbl 1454.76082
Lyalinov, Mikhail A.
2013
Diffraction of a skewly incident plane wave by an anisotropic impedance wedge – a class of exactly solvable cases. Zbl 1067.78501
Lyalinov, Mikhail A.; Zhu, Ning Yan
1999
The far field asymptotics in the problem of diffraction of an acoustic plane wave by an impedance cone. Zbl 1239.76052
Lyalinov, M. A.
2009
Diffraction of the surface $$H$$-polarized wave by an angular break of a thin dielectric slab. Zbl 1288.78018
Grikurov, V. E.; Lyalinov, M. A.
2008
Scattering of an acoustic axially symmetric surface wave propagating to the vertex of a right-circular impedance cone. Zbl 1231.76276
Lyalinov, M. A.
2010
Electromagnetic scattering of a dipole-field by an impedance wedge. I: Far-field space waves. Zbl 1370.78126
Lyalinov, Mikhail A.; Zhu, Ning Yan
2013
Eigenmodes in the water-wave problems for infinite pools with cone-shaped bottom. Zbl 1445.76025
Lyalinov, Mikhail A.
2016
Integral equations and the scattering diagram in the problem of diffraction by two shifted contacting wedges with polygonal boundary. Zbl 1381.76326
Lyalinov, M. A.
2016
Acoustic scattering by a semi-infinite angular sector with impedance boundary conditions. Zbl 1408.35014
Lyalinov, Mikhail A.
2018
Scattering of an electromagnetic surface wave from a Hertzian dipole by the edge of an impedance wedge. Zbl 1382.78012
Lyalinov, M. A.; Zhu, N. Ya.
2017
Asymptotic theory of reflection of electromagnetic radiation by moderately and well conducting bodies. Zbl 0810.35124
Buldyrev, V. S.; Lyalinov, M. A.
1992
Generalized Sommerfeld integral and diffraction in an angle-shaped domain with a radial perturbation. Zbl 1086.81079
Lyalinov, M. A.
2005
Diffraction by a highly contrast transparent wedge. Zbl 0937.78006
Lyalinov, M. A.
1999
Diffraction of a plane electromagnetic wave obliquely incident upon the edge of a wedge with a dielectric coating. Zbl 0933.78005
Lyalinov, M. A.; Vardapetyan, L. G.
1994
Asymptotic theory of the reflection of electromagnetic radiation by moderately and highly conductive bodies. Zbl 0844.35122
Buldyrev, V. S.; Lyalinov, M. A.
1992
An asymptotic boundary condition on the surface of an absorbing convex body. Zbl 1268.78005
Buldyrev, V. S.; Lyalinov, M. A.
1987
On an integral equation in the problem of the diffraction of a plane wave by a transparent circular cone. Zbl 1130.76071
Lyalinov, M. A.
2004
Electromagnetic scattering by a circular impedance cone: diffraction coefficients and surface waves. Zbl 1305.78010
Lyalinov, Mikhail A.
2014
Electromagnetic scattering by a plane angular sector. I: Diffraction coefficients of the spherical wave from the vertex. Zbl 1454.78021
Lyalinov, Mikhail A.
2015
Acoustic scattering by a semi-infinite angular sector with impedance boundary conditions. Zbl 1408.35014
Lyalinov, Mikhail A.
2018
Scattering of an electromagnetic surface wave from a Hertzian dipole by the edge of an impedance wedge. Zbl 1382.78012
Lyalinov, M. A.; Zhu, N. Ya.
2017
Eigenmodes in the water-wave problems for infinite pools with cone-shaped bottom. Zbl 1445.76025
Lyalinov, Mikhail A.
2016
Integral equations and the scattering diagram in the problem of diffraction by two shifted contacting wedges with polygonal boundary. Zbl 1381.76326
Lyalinov, M. A.
2016
Electromagnetic scattering by a plane angular sector. I: Diffraction coefficients of the spherical wave from the vertex. Zbl 1454.78021
Lyalinov, Mikhail A.
2015
Electromagnetic scattering by a circular impedance cone: diffraction coefficients and surface waves. Zbl 1305.78010
Lyalinov, Mikhail A.
2014
Scattering of acoustic waves by a sector. Zbl 1454.76082
Lyalinov, Mikhail A.
2013
Electromagnetic scattering of a dipole-field by an impedance wedge. I: Far-field space waves. Zbl 1370.78126
Lyalinov, Mikhail A.; Zhu, Ning Yan
2013
Acoustic scattering of a plane wave by a circular penetrable cone. Zbl 1229.76097
Lyalinov, M. A.
2011
Scattering of a plane electromagnetic wave by a hollow circular cone with thin semi-transparent walls. Zbl 1214.35067
Lyalinov, M. A.; Zhu, N. Y.; Smyshlyaev, V. P.
2010
Scattering of an acoustic axially symmetric surface wave propagating to the vertex of a right-circular impedance cone. Zbl 1231.76276
Lyalinov, M. A.
2010
The far field asymptotics in the problem of diffraction of an acoustic plane wave by an impedance cone. Zbl 1239.76052
Lyalinov, M. A.
2009
Analytical-numerical calculation of diffraction coefficients for a circular impedance cone. Zbl 1369.78143
Bernard, J. M. L.; Lyalinov, Mikhail A.; Zhu, Ning Yan
2008
Diffraction of the surface $$H$$-polarized wave by an angular break of a thin dielectric slab. Zbl 1288.78018
Grikurov, V. E.; Lyalinov, M. A.
2008
Acoustic scattering by a circular semi-transparent conical surface. Zbl 1131.76047
Lyalinov, Mikhail Anatolievich; Zhu, Ning Yan
2007
Diffraction of a skew incident plane electromagnetic wave by an impedance wedge. Zbl 1231.78028
Lyalinov, Mikhail A.; Zhu, Ning Yan
2006
Generalized Sommerfeld integral and diffraction in an angle-shaped domain with a radial perturbation. Zbl 1086.81079
Lyalinov, M. A.
2005
Electromagnetic scattering by a smooth convex impedance cone. Zbl 1115.78005
Bernard, J. M. L.; Lyalinov, M. A.
2004
On an integral equation in the problem of the diffraction of a plane wave by a transparent circular cone. Zbl 1130.76071
Lyalinov, M. A.
2004
A solution procedure for second-order difference equations and its application to electromagnetic-wave diffraction in a wedge-shaped region. Zbl 1092.78008
Lyalinov, Mikhail A.; Zhu, Ning Yan
2003
Diffraction of the plane wave by an impedance cone. Zbl 1081.78009
Lyalinov, M. A.
2003
Diffraction of scalar waves by an impedance cone of arbitrary cross-section. Zbl 1074.78516
Bernard, J. M. L.; Lyalinov, M. A.
2001
Spectral domain solution and asymptotics for the diffraction by an impedance cone. Zbl 1002.78510
Bernard, J. M. L.; Lyalinov, M. A.
2001
The leading asymptotic term for the scattering diagram in the problem of diffraction by a narrow circular impedance cone. Zbl 0930.35169
Bernard, J. M. L.; Lyalinov, M. A.
1999
Diffraction of a skewly incident plane wave by an anisotropic impedance wedge – a class of exactly solvable cases. Zbl 1067.78501
Lyalinov, Mikhail A.; Zhu, Ning Yan
1999
Diffraction by a highly contrast transparent wedge. Zbl 0937.78006
Lyalinov, M. A.
1999
On one approach to an electromagnetic diffraction problem in a wedge shaped region. Zbl 0850.78008
Lyalinov, M. A.
1994
Diffraction of a plane electromagnetic wave obliquely incident upon the edge of a wedge with a dielectric coating. Zbl 0933.78005
Lyalinov, M. A.; Vardapetyan, L. G.
1994
Asymptotic theory of reflection of electromagnetic radiation by moderately and well conducting bodies. Zbl 0810.35124
Buldyrev, V. S.; Lyalinov, M. A.
1992
Asymptotic theory of the reflection of electromagnetic radiation by moderately and highly conductive bodies. Zbl 0844.35122
Buldyrev, V. S.; Lyalinov, M. A.
1992
An asymptotic boundary condition on the surface of an absorbing convex body. Zbl 1268.78005
Buldyrev, V. S.; Lyalinov, M. A.
1987
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### Cited by 46 Authors

 27 Lyalinov, Mikhail Anatolievich 4 Zhu, Ning Yan 3 Abrahams, I. David 2 Assier, Raphaël C. 2 Bernard, J. M. L. 2 Fedotov, Alexander 2 Gutiérrez-Tovar, Y. E. 2 Hoang, Pham Van 2 Méndez Pérez, José M. R. 2 Nguyen Thanh Hong 2 Polyanskaya, Svetlana V. 1 Babich, Vasiliĭ Mikhaĭlovich 1 Brandsmeier, Holger 1 Buldyrev, V. S. 1 Büyükaksoy, Alinur 1 Çınar, Gökhan 1 Durand, William 1 Falkovich, Gregory 1 Gawȩdzki, Krzysztof 1 Grikurov, Valery E. 1 Guerra, Manuel 1 Hewett, David P. 1 Idemen, Mithat 1 Klopp, Frédéric 1 Kuryliak, Dozyslav B. 1 Lawrie, Jane B. 1 Mokeeva, N. V. 1 Nethercote, Matthew A. 1 Nguyen Thanh Long 1 Nguyen Xuan Thao 1 Ockendon, John R. 1 Pham Ngoc Dinh, Alain 1 Schmidt, Kersten 1 Schwab, Christoph 1 Senior, Thomas B. A. 1 Shchetka, Ekaterina 1 Sintsova, Ksenia 1 Smyshlyaev, Valery P. 1 Sousa, Rúben 1 Szmytkowski, Radosław 1 Tuan, Trinh 1 Vardapetyan, L. G. 1 Vergassola, Massimo 1 Vu Kim Tuan 1 William, Durand 1 Yakubovich, Semyon B.
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### Cited in 19 Serials

 14 Journal of Mathematical Sciences (New York) 13 Wave Motion 3 Journal of Engineering Mathematics 3 Journal of Mathematical Analysis and Applications 3 St. Petersburg Mathematical Journal 1 Applicable Analysis 1 Journal of Computational Physics 1 Journal of Fluid Mechanics 1 Journal of Mathematical Physics 1 Reports on Mathematical Physics 1 Reviews of Modern Physics 1 Acta Mathematica Vietnamica 1 Mathematische Nachrichten 1 SIAM Journal on Applied Mathematics 1 SIAM Journal on Mathematical Analysis 1 Russian Journal of Mathematical Physics 1 Integral Transforms and Special Functions 1 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 1 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
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### Cited in 19 Fields

 26 Partial differential equations (35-XX) 20 Optics, electromagnetic theory (78-XX) 15 Fluid mechanics (76-XX) 6 Difference and functional equations (39-XX) 6 Integral transforms, operational calculus (44-XX) 6 Integral equations (45-XX) 5 Special functions (33-XX) 4 Mechanics of deformable solids (74-XX) 3 Numerical analysis (65-XX) 3 Statistical mechanics, structure of matter (82-XX) 2 Functions of a complex variable (30-XX) 2 Ordinary differential equations (34-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Functional analysis (46-XX) 1 History and biography (01-XX) 1 Abstract harmonic analysis (43-XX) 1 Operator theory (47-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Quantum theory (81-XX)