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Omel’yanov, Georgii A.

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Author ID: omelyanov.georgii-a Recent zbMATH articles by "Omel’yanov, Georgii A."
Published as: Omel’yanov, G. A.; Omel’yanov, Georgii A.; Omel’yanov, Georgy A.; Omel’yanov, Georgy; Omel’yanov, Georgij A.; Omel’yanov, Georgii
Documents Indexed: 75 Publications since 1981, including 1 Book
Co-Authors: 18 Co-Authors with 58 Joint Publications
465 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

39 Publications have been cited 220 times in 117 Documents Cited by Year
Asymptotic soliton-form solutions of equations with small dispersion. Zbl 0494.35080
Maslov, V. P.; Omel’yanov, G. A.
28
1981
Weak asymptotics method and interaction of nonlinear waves. Zbl 1140.35382
Danilov, V. G.; Omel’yanov, G. A.; Shelkovich, V. M.
25
2003
Asymptotic solitonlike solutions of equations with small dispersion. Zbl 0463.35073
Maslov, V. P.; Omel’yanov, G. A.
22
1981
Hugoniot-type conditions and weak solutions to the phase-field system. Zbl 0918.35036
Danilov, V. G.; Omel’yanov, G. A.; Radkevich, E. V.
20
1999
Weak asymptotics method and the interaction of infinitely narrow \(\delta\)-solitons. Zbl 1040.35092
Danilov, V. G.; Omel’yanov, G. A.
12
2003
Interaction of solitary waves for the generalized KdV equation. Zbl 1247.35131
Garcia Alvarado, Martin G.; Omel’yanov, Georgii A.
10
2012
Geometric asymptotics for nonlinear PDE. I. Transl. from the Russian manuscript by D. Chibisov. Zbl 0984.35001
Maslov, V. P.; Omel’yanov, G. A.
8
2001
Kink-antikink interaction for semilinear wave equations with a small parameter. Zbl 1173.35597
Garcia, Martin G.; Omel’yanov, Georgii A.
8
2009
Fluctuation-generated tokamak pinch instabilities. Zbl 0964.35516
Maslov, Victor P.; Omel’yanov, Georgii A.
7
1994
Asymptotic solution of the conserved phase field system in the fast relaxation case. Zbl 0923.35082
Omel’yanov, G. A.; Danilov, V. G.; Radkevich, E. V.
6
1998
Interaction of kinks for semilinear wave equations with a small parameter. Zbl 1096.35088
Kulagin, D. A.; Omel’yanov, G. A.
6
2006
Asymptotics of the solution to the phase field system and the modified Stefan problem. Zbl 0855.35134
Danilov, V. G.; Omel’yanov, G. A.; Radkevich, E. V.
5
1995
Rapidly oscillating asymptotic solution of magnetohydrodynamic equations in the tokamak approximation. Zbl 0786.76102
Maslov, V. P.; Omel’yanov, G. A.
5
1992
Dynamics of the interface between two immiscible liquids with nearly equal densities under gravity. Zbl 1068.76031
Danilov, V. G.; Omel’yanov, G. A.
5
2002
Interaction of shock waves in gas dynamics: uniform in time asymptotics. Zbl 1085.76030
García-Alvarado, M. G.; Flores-Espinoza, R.; Omel’yanov, G. A.
5
2005
Asymptotic behavior for the centered-rarefaction appearance problem. Zbl 1087.35062
Flores-Espinoza, Ruben; Omel’yanov, Georgii A.
5
2005
Soliton-type asymptotics for non-integrable equations: a survey. Zbl 1330.35385
Omel’yanov, Georgy A.
4
2015
Asymptotic and numerical description of the kink/antikink interaction. Zbl 1203.35173
Omel’yanov, Georgii A.; Segundo-Caballero, Israel
4
2010
Asymptotics for a \(C^1\)-version of the KdV equation. Zbl 1339.35272
Omel’yanov, G. A.; Valdez-Grijalva, M. A.
4
2014
Asymptotics of kink-kink interaction for sine-Gordon type equations. Zbl 1059.35119
Kulagin, D. A.; Omel’yanov, G. A.
3
2004
Interaction of solitons for sine-Gordon-type equations. Zbl 1273.81082
Omel’yanov, Georgii A.; Segundo-Caballero, Israel
3
2013
Weak asymptotic method for the study of propagation and interaction of infinitely narrow \(\delta\)-solitons. Zbl 1054.35079
Danilov, Vladimir G.; Omel’yanov, Georgii A.
3
2003
Calculations of the hurricane eye motion based on singularity propagation theory. Zbl 1004.86002
Danilov, Vladimir; Omel’yanov, Georgii; Rozenknop, Daniil
2
2002
Weak solutions to the phase field system. Zbl 0908.35143
Danilov, V. G.; Omel’yanov, G. A.; Radkevich, E. V.
2
1998
Hugoniot-type conditions for infinitely narrow solutions of the equation for simple waves. Zbl 0547.35071
Maslov, V. P.; Omel’yanov, G. A.
2
1983
Interaction of short waves of small amplitudes in weakly disperging plasma. I. Zbl 0850.76890
Maslov, V. P.; Omel’yanov, G. A.
2
1987
Interaction of solitons and the effect of radiation for the generalized KdV equation. Zbl 07175081
García-Alvarado, Martín G.; Omel’yanov, Georgii A.
2
2014
Propagation of singularities and related problems of solidification. Zbl 0947.46032
Danilov, V. G.; Omel’yanov, G. A.
1
1997
Stability and ”stabilization” of the solution of phase field system. Zbl 0864.35062
Omel’yanov, G. A.; Radkevich, E. V.; Danilov, V. G.
1
1995
Justification of asymptotics of solutions of the phase-field equations and a modified Stefan problem. Zbl 0870.35127
Danilov, V. G.; Omel’yanov, G. A.; Radkevich, E. V.
1
1995
Asymptotic solutions of the Cahn-Hilliard system in the fast relaxation case. Zbl 0983.35054
Danilov, V. G.; Omel’yanov, G. A.; Radkevich, E. V.
1
1997
The dynamo problem for large hydrodynamic and magnetic Reynolds numbers. Zbl 0914.76092
Maslov, Victor P.; Omel’yanov, Georgij A.
1
1996
A geometric correction in the problem on the motion of a free boundary. Zbl 0922.35191
Omel’yanov, G. A.; Trushkov, V. V.
1
1998
Calculation of the singularity dynamics for quadratic nonlinear hyperbolic equations. Example: The Hopf equation. Zbl 0932.35144
Danilov, Vladimir G.; Omel’yanov, Georgii A.
1
1999
Asymptotics of some differential and pseudodifferential equations, and dynamical systems with small dispersion. Zbl 0567.35078
Maslov, V. P.; Omel’yanov, G. A.; Tsupin, V. A.
1
1985
About the stability problem for strictly hyperbolic systems of conservation laws. Zbl 1262.35037
Omel’yanov, G. A.
1
2011
Propagation and interaction of solitons for nonintegrable equations. Zbl 1354.35132
Omel’yanov, G.
1
2016
Interaction between small-amplitude short waves in a weakly dispersive plasma. I. Zbl 0701.76123
Maslov, V. P.; Omel’yanov, G. A.
1
1987
Classical and nonclassical solitary waves in the general Degasperis-Procesi model. Zbl 1427.37054
Omel’yanov, G.
1
2019
Classical and nonclassical solitary waves in the general Degasperis-Procesi model. Zbl 1427.37054
Omel’yanov, G.
1
2019
Propagation and interaction of solitons for nonintegrable equations. Zbl 1354.35132
Omel’yanov, G.
1
2016
Soliton-type asymptotics for non-integrable equations: a survey. Zbl 1330.35385
Omel’yanov, Georgy A.
4
2015
Asymptotics for a \(C^1\)-version of the KdV equation. Zbl 1339.35272
Omel’yanov, G. A.; Valdez-Grijalva, M. A.
4
2014
Interaction of solitons and the effect of radiation for the generalized KdV equation. Zbl 07175081
García-Alvarado, Martín G.; Omel’yanov, Georgii A.
2
2014
Interaction of solitons for sine-Gordon-type equations. Zbl 1273.81082
Omel’yanov, Georgii A.; Segundo-Caballero, Israel
3
2013
Interaction of solitary waves for the generalized KdV equation. Zbl 1247.35131
Garcia Alvarado, Martin G.; Omel’yanov, Georgii A.
10
2012
About the stability problem for strictly hyperbolic systems of conservation laws. Zbl 1262.35037
Omel’yanov, G. A.
1
2011
Asymptotic and numerical description of the kink/antikink interaction. Zbl 1203.35173
Omel’yanov, Georgii A.; Segundo-Caballero, Israel
4
2010
Kink-antikink interaction for semilinear wave equations with a small parameter. Zbl 1173.35597
Garcia, Martin G.; Omel’yanov, Georgii A.
8
2009
Interaction of kinks for semilinear wave equations with a small parameter. Zbl 1096.35088
Kulagin, D. A.; Omel’yanov, G. A.
6
2006
Interaction of shock waves in gas dynamics: uniform in time asymptotics. Zbl 1085.76030
García-Alvarado, M. G.; Flores-Espinoza, R.; Omel’yanov, G. A.
5
2005
Asymptotic behavior for the centered-rarefaction appearance problem. Zbl 1087.35062
Flores-Espinoza, Ruben; Omel’yanov, Georgii A.
5
2005
Asymptotics of kink-kink interaction for sine-Gordon type equations. Zbl 1059.35119
Kulagin, D. A.; Omel’yanov, G. A.
3
2004
Weak asymptotics method and interaction of nonlinear waves. Zbl 1140.35382
Danilov, V. G.; Omel’yanov, G. A.; Shelkovich, V. M.
25
2003
Weak asymptotics method and the interaction of infinitely narrow \(\delta\)-solitons. Zbl 1040.35092
Danilov, V. G.; Omel’yanov, G. A.
12
2003
Weak asymptotic method for the study of propagation and interaction of infinitely narrow \(\delta\)-solitons. Zbl 1054.35079
Danilov, Vladimir G.; Omel’yanov, Georgii A.
3
2003
Dynamics of the interface between two immiscible liquids with nearly equal densities under gravity. Zbl 1068.76031
Danilov, V. G.; Omel’yanov, G. A.
5
2002
Calculations of the hurricane eye motion based on singularity propagation theory. Zbl 1004.86002
Danilov, Vladimir; Omel’yanov, Georgii; Rozenknop, Daniil
2
2002
Geometric asymptotics for nonlinear PDE. I. Transl. from the Russian manuscript by D. Chibisov. Zbl 0984.35001
Maslov, V. P.; Omel’yanov, G. A.
8
2001
Hugoniot-type conditions and weak solutions to the phase-field system. Zbl 0918.35036
Danilov, V. G.; Omel’yanov, G. A.; Radkevich, E. V.
20
1999
Calculation of the singularity dynamics for quadratic nonlinear hyperbolic equations. Example: The Hopf equation. Zbl 0932.35144
Danilov, Vladimir G.; Omel’yanov, Georgii A.
1
1999
Asymptotic solution of the conserved phase field system in the fast relaxation case. Zbl 0923.35082
Omel’yanov, G. A.; Danilov, V. G.; Radkevich, E. V.
6
1998
Weak solutions to the phase field system. Zbl 0908.35143
Danilov, V. G.; Omel’yanov, G. A.; Radkevich, E. V.
2
1998
A geometric correction in the problem on the motion of a free boundary. Zbl 0922.35191
Omel’yanov, G. A.; Trushkov, V. V.
1
1998
Propagation of singularities and related problems of solidification. Zbl 0947.46032
Danilov, V. G.; Omel’yanov, G. A.
1
1997
Asymptotic solutions of the Cahn-Hilliard system in the fast relaxation case. Zbl 0983.35054
Danilov, V. G.; Omel’yanov, G. A.; Radkevich, E. V.
1
1997
The dynamo problem for large hydrodynamic and magnetic Reynolds numbers. Zbl 0914.76092
Maslov, Victor P.; Omel’yanov, Georgij A.
1
1996
Asymptotics of the solution to the phase field system and the modified Stefan problem. Zbl 0855.35134
Danilov, V. G.; Omel’yanov, G. A.; Radkevich, E. V.
5
1995
Stability and ”stabilization” of the solution of phase field system. Zbl 0864.35062
Omel’yanov, G. A.; Radkevich, E. V.; Danilov, V. G.
1
1995
Justification of asymptotics of solutions of the phase-field equations and a modified Stefan problem. Zbl 0870.35127
Danilov, V. G.; Omel’yanov, G. A.; Radkevich, E. V.
1
1995
Fluctuation-generated tokamak pinch instabilities. Zbl 0964.35516
Maslov, Victor P.; Omel’yanov, Georgii A.
7
1994
Rapidly oscillating asymptotic solution of magnetohydrodynamic equations in the tokamak approximation. Zbl 0786.76102
Maslov, V. P.; Omel’yanov, G. A.
5
1992
Interaction of short waves of small amplitudes in weakly disperging plasma. I. Zbl 0850.76890
Maslov, V. P.; Omel’yanov, G. A.
2
1987
Interaction between small-amplitude short waves in a weakly dispersive plasma. I. Zbl 0701.76123
Maslov, V. P.; Omel’yanov, G. A.
1
1987
Asymptotics of some differential and pseudodifferential equations, and dynamical systems with small dispersion. Zbl 0567.35078
Maslov, V. P.; Omel’yanov, G. A.; Tsupin, V. A.
1
1985
Hugoniot-type conditions for infinitely narrow solutions of the equation for simple waves. Zbl 0547.35071
Maslov, V. P.; Omel’yanov, G. A.
2
1983
Asymptotic soliton-form solutions of equations with small dispersion. Zbl 0494.35080
Maslov, V. P.; Omel’yanov, G. A.
28
1981
Asymptotic solitonlike solutions of equations with small dispersion. Zbl 0463.35073
Maslov, V. P.; Omel’yanov, G. A.
22
1981
all top 5

Cited by 95 Authors

13 Radkevich, Evgeniĭ Vladimirovich
11 Omel’yanov, Georgii A.
11 Shafarevich, Andreĭ Igorevich
9 Mitrovic, Darko
9 Sarrico, Carlos Orlando R.
8 Maslov, Viktor Pavlovich
7 Colombeau, Mathilde
7 Shelkovich, Vladimir M.
5 Danilov, Vladimir G.
5 Lukashev, Evgeniĭ Alekseevich
5 Yakovlev, Nikolaĭ Nikolaevich
4 Allilueva, Anna I.
4 Kalisch, Henrik
3 Palin, Vladimir Vladimirovich
3 Panov, Evgeniy Yu.
3 Samoĭlenko, Yuliya Ivanivna
3 Valiño Alonso, Baldomero
2 Abreu, Eduardo
2 He, Chunhua
2 Hu, Chinkun
2 Kametaka, Yoshinori
2 Ma, Jinli
2 Nedeljkov, Marko
2 Nordbotten, Jan Martin
2 Novak, Andrej
2 Pilipchuk, Valery N.
2 Rodríguez Bermúdez, Panters
2 Rozanova, Olga S.
2 Samoĭlenko, Valeriĭ Grygorovych
2 Segundo-Caballero, Israel
2 Tang, Yaning
2 Teyekpiti, Vincent
2 Vasil’eva, Ol’ga Aleksandrovna
2 Yu, Jui-Ling
1 Achatz, Ulrich
1 Aèro, Èron Lyuttovich
1 Ali, Khalid Karam
1 Alvarez, Amaury Cruz
1 Alvarez, Gustavo Benitez
1 Awrejcewicz, Jan
1 Baskonus, Haci Mehmet
1 Bojkovic, Velibor
1 Ciancio, Armando
1 Demidov, Alexandre Sergeevich
1 Flores Espinoza, Rubén
1 Gamkrelidze, Revaz Valerianovich
1 Garcia Alvarado, Martin G.
1 Ilhan, Esin
1 Il’ichev, Andreĭ Teĭmurazovich
1 Joly, Jean-Luc
1 Kalyakin, Leonid Anatol’evich
1 Karakoç, Seydi Battal Gazi
1 Khrennikov, Andreĭ Yur’evich
1 Klein, Rupert
1 Knaub, Karl R.
1 Kulagin, D. A.
1 Lecaros, Rodrigo
1 Lobão, Diomar Cesar
1 Lohéac, Jean-Pierre
1 López-Ríos, Juan C.
1 Lukashov, E. A.
1 Ma, Wen-Xiu
1 Marohnić, Maroje
1 Martinez, Antonio Olivas
1 Meril, Alex
1 Métivier, Guy
1 Montecinos, Gino I.
1 Oberguggenberger, Michael B.
1 Olmos-Liceaga, Daniel
1 O’Malley, Robert E. jun.
1 Omel’yanov, George
1 Ortega, Jaime H.
1 Rauch, Jeffrey B.
1 Razafimandimby, Paul André
1 Rodriguez, J. Noyola
1 Rudnev, V. Yu.
1 Runge, Vincent
1 Sango, Mamadou
1 Schlutow, Mark
1 Selivanova, N. Yu.
1 Shamolin, Maksim Vladimirovich
1 Smolyanov, Oleg Georgievich
1 Sousa, F. V.
1 Starushenko, Galina A.
1 Toro, Eleuterio F.
1 Trushkov, V. V.
1 Vasil’Yeva, O. A.
1 Volosov, Konstantin Aleksandrovich
1 Volosova, Aleksandra Konstantinovna
1 Volosova, Natal’ya Konstantinovna
1 Weichert, Dieter
1 Williams, David B.
1 Yang, Jingen
1 Yel, Gulnur
1 Zhang, Yanyan
all top 5

Cited in 50 Serials

15 Journal of Mathematical Sciences (New York)
12 Russian Journal of Mathematical Physics
8 Mathematical Notes
6 Journal of Differential Equations
4 Applicable Analysis
3 Journal of Mathematical Analysis and Applications
3 Journal of Mathematical Physics
3 Theoretical and Mathematical Physics
3 ZAMP. Zeitschrift für angewandte Mathematik und Physik
3 Integral Transforms and Special Functions
3 Nonlinear Analysis. Real World Applications
2 Journal of Applied Mathematics and Mechanics
2 Mathematical Methods in the Applied Sciences
2 Ukrainian Mathematical Journal
2 Chaos, Solitons and Fractals
2 Prikladnaya Matematika i Mekhanika
2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
2 Siberian Mathematical Journal
2 Mathematical Problems in Engineering
2 Doklady Mathematics
2 Abstract and Applied Analysis
2 Journal of Nonlinear Mathematical Physics
2 Vestnik Samarskogo Gosudarstvennogo Tekhnicheskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki
1 Computers and Fluids
1 Computers & Mathematics with Applications
1 Journal of Fluid Mechanics
1 Nonlinearity
1 Physics Letters. A
1 Duke Mathematical Journal
1 Functional Analysis and its Applications
1 International Journal of Mathematics and Mathematical Sciences
1 Quarterly of Applied Mathematics
1 Chinese Annals of Mathematics. Series B
1 Applied Numerical Mathematics
1 Numerical Methods for Partial Differential Equations
1 European Journal of Applied Mathematics
1 SIAM Journal on Mathematical Analysis
1 Continuum Mechanics and Thermodynamics
1 Nonlinear Dynamics
1 Taiwanese Journal of Mathematics
1 Infinite Dimensional Analysis, Quantum Probability and Related Topics
1 European Journal of Mechanics. B. Fluids
1 Communications in Nonlinear Science and Numerical Simulation
1 Differentsial’nye Uravneniya i Protsessy Upravleniya
1 Journal of Applied Mathematics
1 Bulletin of the Brazilian Mathematical Society. New Series
1 Boundary Value Problems
1 Journal of Mathematics
1 Computational Methods for Differential Equations
1 AIMS Mathematics

Citations by Year