Edit Profile (opens in new tab) Omel’yanov, Georgii A. Compute Distance To: Compute Author ID: omelyanov.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 more...less Documents Indexed: 75 Publications since 1981, including 1 Book Co-Authors: 18 Co-Authors with 58 Joint Publications 465 Co-Co-Authors all top 5 Co-Authors 16 single-authored 21 Maslov, Viktor Pavlovich 20 Danilov, Vladimir G. 13 Radkevich, Evgeniĭ Vladimirovich 3 Flores Espinoza, Rubén 3 Garcia Alvarado, Martin G. 3 Kulagin, D. A. 2 Segundo-Caballero, Israel 2 Trushkov, V. V. 2 Tsupin, V. A. 1 Dobrokhotov, Sergei Yurievich 1 Garcia, Martin G. 1 Martinez, Antonio Olivas 1 Ordinartseva, N. O. 1 Orozco-Casillas, G. A. 1 Red’kina, T. G. 1 Rodriguez, J. Noyola 1 Rozenknop, Daniil 1 Shelkovich, Vladimir M. 1 Valdez-Grijalva, M. A. all top 5 Serials 7 Mathematical Notes 6 Russian Journal of Mathematical Physics 5 Electronic Journal of Differential Equations (EJDE) 3 European Journal of Applied Mathematics 3 Nonlinear Phenomena in Complex Systems (Minsk) 2 Theoretical and Mathematical Physics 2 Ukrainian Mathematical Journal 2 Chaos, Solitons and Fractals 2 Differential Equations 2 International Journal of Mathematics and Mathematical Sciences 2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 2 Siberian Mathematical Journal 2 Integral Transforms and Special Functions 2 Doklady Mathematics 2 Communications in Nonlinear Science and Numerical Simulation 1 Mathematical Methods in the Applied Sciences 1 Matematicheskie Zametki 1 Russian Mathematical Surveys 1 Ukraïns’kyĭ Matematychnyĭ Zhurnal 1 Uspekhi Matematicheskikh Nauk [N. S.] 1 Differentsial’nye Uravneniya 1 Matematički Vesnik 1 Portugaliae Mathematica 1 Transactions of the Moscow Mathematical Society 1 Physica D 1 Mathematics of the USSR, Sbornik 1 Soviet Physics. Doklady 1 Advances in Mathematical Sciences and Applications 1 Physics-Doklady 1 Journal of Mathematical Sciences (New York) 1 Sbornik: Mathematics 1 Matematicheskoe Modelirovanie 1 Rendiconti del Seminario Matematico. Universitá e Politecnico di Torino 1 Translations of Mathematical Monographs 1 Journal of Mathematics 1 Discontinuity, Nonlinearity, and Complexity all top 5 Fields 62 Partial differential equations (35-XX) 29 Fluid mechanics (76-XX) 10 Classical thermodynamics, heat transfer (80-XX) 8 Dynamical systems and ergodic theory (37-XX) 4 Numerical analysis (65-XX) 3 Quantum theory (81-XX) 1 Functional analysis (46-XX) 1 Operator theory (47-XX) 1 Mechanics of deformable solids (74-XX) 1 Optics, electromagnetic theory (78-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Astronomy and astrophysics (85-XX) 1 Geophysics (86-XX) Publications by Year all cited Publications top 5 cited Publications 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 0494.35080Maslov, V. P.; Omel’yanov, G. A. 28 1981 Weak asymptotics method and interaction of nonlinear waves. Zbl 1140.35382Danilov, V. G.; Omel’yanov, G. A.; Shelkovich, V. M. 25 2003 Asymptotic solitonlike solutions of equations with small dispersion. Zbl 0463.35073Maslov, V. P.; Omel’yanov, G. A. 22 1981 Hugoniot-type conditions and weak solutions to the phase-field system. Zbl 0918.35036Danilov, V. G.; Omel’yanov, G. A.; Radkevich, E. V. 20 1999 Weak asymptotics method and the interaction of infinitely narrow \(\delta\)-solitons. Zbl 1040.35092Danilov, V. G.; Omel’yanov, G. A. 12 2003 Interaction of solitary waves for the generalized KdV equation. Zbl 1247.35131Garcia Alvarado, Martin G.; Omel’yanov, Georgii A. 10 2012 Geometric asymptotics for nonlinear PDE. I. Transl. from the Russian manuscript by D. Chibisov. Zbl 0984.35001Maslov, V. P.; Omel’yanov, G. A. 8 2001 Kink-antikink interaction for semilinear wave equations with a small parameter. Zbl 1173.35597Garcia, Martin G.; Omel’yanov, Georgii A. 8 2009 Fluctuation-generated tokamak pinch instabilities. Zbl 0964.35516Maslov, Victor P.; Omel’yanov, Georgii A. 7 1994 Asymptotic solution of the conserved phase field system in the fast relaxation case. Zbl 0923.35082Omel’yanov, G. A.; Danilov, V. G.; Radkevich, E. V. 6 1998 Interaction of kinks for semilinear wave equations with a small parameter. Zbl 1096.35088Kulagin, D. A.; Omel’yanov, G. A. 6 2006 Asymptotics of the solution to the phase field system and the modified Stefan problem. Zbl 0855.35134Danilov, V. G.; Omel’yanov, G. A.; Radkevich, E. V. 5 1995 Rapidly oscillating asymptotic solution of magnetohydrodynamic equations in the tokamak approximation. Zbl 0786.76102Maslov, V. P.; Omel’yanov, G. A. 5 1992 Dynamics of the interface between two immiscible liquids with nearly equal densities under gravity. Zbl 1068.76031Danilov, V. G.; Omel’yanov, G. A. 5 2002 Interaction of shock waves in gas dynamics: uniform in time asymptotics. Zbl 1085.76030García-Alvarado, M. G.; Flores-Espinoza, R.; Omel’yanov, G. A. 5 2005 Asymptotic behavior for the centered-rarefaction appearance problem. Zbl 1087.35062Flores-Espinoza, Ruben; Omel’yanov, Georgii A. 5 2005 Soliton-type asymptotics for non-integrable equations: a survey. Zbl 1330.35385Omel’yanov, Georgy A. 4 2015 Asymptotic and numerical description of the kink/antikink interaction. Zbl 1203.35173Omel’yanov, Georgii A.; Segundo-Caballero, Israel 4 2010 Asymptotics for a \(C^1\)-version of the KdV equation. Zbl 1339.35272Omel’yanov, G. A.; Valdez-Grijalva, M. A. 4 2014 Asymptotics of kink-kink interaction for sine-Gordon type equations. Zbl 1059.35119Kulagin, D. A.; Omel’yanov, G. A. 3 2004 Interaction of solitons for sine-Gordon-type equations. Zbl 1273.81082Omel’yanov, Georgii A.; Segundo-Caballero, Israel 3 2013 Weak asymptotic method for the study of propagation and interaction of infinitely narrow \(\delta\)-solitons. Zbl 1054.35079Danilov, Vladimir G.; Omel’yanov, Georgii A. 3 2003 Calculations of the hurricane eye motion based on singularity propagation theory. Zbl 1004.86002Danilov, Vladimir; Omel’yanov, Georgii; Rozenknop, Daniil 2 2002 Weak solutions to the phase field system. Zbl 0908.35143Danilov, 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 0547.35071Maslov, V. P.; Omel’yanov, G. A. 2 1983 Interaction of short waves of small amplitudes in weakly disperging plasma. I. Zbl 0850.76890Maslov, V. P.; Omel’yanov, G. A. 2 1987 Interaction of solitons and the effect of radiation for the generalized KdV equation. Zbl 07175081García-Alvarado, Martín G.; Omel’yanov, Georgii A. 2 2014 Propagation of singularities and related problems of solidification. Zbl 0947.46032Danilov, V. G.; Omel’yanov, G. A. 1 1997 Stability and ”stabilization” of the solution of phase field system. Zbl 0864.35062Omel’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 0870.35127Danilov, V. G.; Omel’yanov, G. A.; Radkevich, E. V. 1 1995 Asymptotic solutions of the Cahn-Hilliard system in the fast relaxation case. Zbl 0983.35054Danilov, V. G.; Omel’yanov, G. A.; Radkevich, E. V. 1 1997 The dynamo problem for large hydrodynamic and magnetic Reynolds numbers. Zbl 0914.76092Maslov, Victor P.; Omel’yanov, Georgij A. 1 1996 A geometric correction in the problem on the motion of a free boundary. Zbl 0922.35191Omel’yanov, G. A.; Trushkov, V. V. 1 1998 Calculation of the singularity dynamics for quadratic nonlinear hyperbolic equations. Example: The Hopf equation. Zbl 0932.35144Danilov, Vladimir G.; Omel’yanov, Georgii A. 1 1999 Asymptotics of some differential and pseudodifferential equations, and dynamical systems with small dispersion. Zbl 0567.35078Maslov, V. P.; Omel’yanov, G. A.; Tsupin, V. A. 1 1985 About the stability problem for strictly hyperbolic systems of conservation laws. Zbl 1262.35037Omel’yanov, G. A. 1 2011 Propagation and interaction of solitons for nonintegrable equations. Zbl 1354.35132Omel’yanov, G. 1 2016 Interaction between small-amplitude short waves in a weakly dispersive plasma. I. Zbl 0701.76123Maslov, V. P.; Omel’yanov, G. A. 1 1987 Classical and nonclassical solitary waves in the general Degasperis-Procesi model. Zbl 1427.37054Omel’yanov, G. 1 2019 Classical and nonclassical solitary waves in the general Degasperis-Procesi model. Zbl 1427.37054Omel’yanov, G. 1 2019 Propagation and interaction of solitons for nonintegrable equations. Zbl 1354.35132Omel’yanov, G. 1 2016 Soliton-type asymptotics for non-integrable equations: a survey. Zbl 1330.35385Omel’yanov, Georgy A. 4 2015 Asymptotics for a \(C^1\)-version of the KdV equation. Zbl 1339.35272Omel’yanov, G. A.; Valdez-Grijalva, M. A. 4 2014 Interaction of solitons and the effect of radiation for the generalized KdV equation. Zbl 07175081García-Alvarado, Martín G.; Omel’yanov, Georgii A. 2 2014 Interaction of solitons for sine-Gordon-type equations. Zbl 1273.81082Omel’yanov, Georgii A.; Segundo-Caballero, Israel 3 2013 Interaction of solitary waves for the generalized KdV equation. Zbl 1247.35131Garcia Alvarado, Martin G.; Omel’yanov, Georgii A. 10 2012 About the stability problem for strictly hyperbolic systems of conservation laws. Zbl 1262.35037Omel’yanov, G. A. 1 2011 Asymptotic and numerical description of the kink/antikink interaction. Zbl 1203.35173Omel’yanov, Georgii A.; Segundo-Caballero, Israel 4 2010 Kink-antikink interaction for semilinear wave equations with a small parameter. Zbl 1173.35597Garcia, Martin G.; Omel’yanov, Georgii A. 8 2009 Interaction of kinks for semilinear wave equations with a small parameter. Zbl 1096.35088Kulagin, D. A.; Omel’yanov, G. A. 6 2006 Interaction of shock waves in gas dynamics: uniform in time asymptotics. Zbl 1085.76030García-Alvarado, M. G.; Flores-Espinoza, R.; Omel’yanov, G. A. 5 2005 Asymptotic behavior for the centered-rarefaction appearance problem. Zbl 1087.35062Flores-Espinoza, Ruben; Omel’yanov, Georgii A. 5 2005 Asymptotics of kink-kink interaction for sine-Gordon type equations. Zbl 1059.35119Kulagin, D. A.; Omel’yanov, G. A. 3 2004 Weak asymptotics method and interaction of nonlinear waves. Zbl 1140.35382Danilov, V. G.; Omel’yanov, G. A.; Shelkovich, V. M. 25 2003 Weak asymptotics method and the interaction of infinitely narrow \(\delta\)-solitons. Zbl 1040.35092Danilov, V. G.; Omel’yanov, G. A. 12 2003 Weak asymptotic method for the study of propagation and interaction of infinitely narrow \(\delta\)-solitons. Zbl 1054.35079Danilov, Vladimir G.; Omel’yanov, Georgii A. 3 2003 Dynamics of the interface between two immiscible liquids with nearly equal densities under gravity. Zbl 1068.76031Danilov, V. G.; Omel’yanov, G. A. 5 2002 Calculations of the hurricane eye motion based on singularity propagation theory. Zbl 1004.86002Danilov, Vladimir; Omel’yanov, Georgii; Rozenknop, Daniil 2 2002 Geometric asymptotics for nonlinear PDE. I. Transl. from the Russian manuscript by D. Chibisov. Zbl 0984.35001Maslov, V. P.; Omel’yanov, G. A. 8 2001 Hugoniot-type conditions and weak solutions to the phase-field system. Zbl 0918.35036Danilov, 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 0932.35144Danilov, Vladimir G.; Omel’yanov, Georgii A. 1 1999 Asymptotic solution of the conserved phase field system in the fast relaxation case. Zbl 0923.35082Omel’yanov, G. A.; Danilov, V. G.; Radkevich, E. V. 6 1998 Weak solutions to the phase field system. Zbl 0908.35143Danilov, 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 0922.35191Omel’yanov, G. A.; Trushkov, V. V. 1 1998 Propagation of singularities and related problems of solidification. Zbl 0947.46032Danilov, V. G.; Omel’yanov, G. A. 1 1997 Asymptotic solutions of the Cahn-Hilliard system in the fast relaxation case. Zbl 0983.35054Danilov, V. G.; Omel’yanov, G. A.; Radkevich, E. V. 1 1997 The dynamo problem for large hydrodynamic and magnetic Reynolds numbers. Zbl 0914.76092Maslov, Victor P.; Omel’yanov, Georgij A. 1 1996 Asymptotics of the solution to the phase field system and the modified Stefan problem. Zbl 0855.35134Danilov, V. G.; Omel’yanov, G. A.; Radkevich, E. V. 5 1995 Stability and ”stabilization” of the solution of phase field system. Zbl 0864.35062Omel’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 0870.35127Danilov, V. G.; Omel’yanov, G. A.; Radkevich, E. V. 1 1995 Fluctuation-generated tokamak pinch instabilities. Zbl 0964.35516Maslov, Victor P.; Omel’yanov, Georgii A. 7 1994 Rapidly oscillating asymptotic solution of magnetohydrodynamic equations in the tokamak approximation. Zbl 0786.76102Maslov, V. P.; Omel’yanov, G. A. 5 1992 Interaction of short waves of small amplitudes in weakly disperging plasma. I. Zbl 0850.76890Maslov, V. P.; Omel’yanov, G. A. 2 1987 Interaction between small-amplitude short waves in a weakly dispersive plasma. I. Zbl 0701.76123Maslov, V. P.; Omel’yanov, G. A. 1 1987 Asymptotics of some differential and pseudodifferential equations, and dynamical systems with small dispersion. Zbl 0567.35078Maslov, 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 0547.35071Maslov, V. P.; Omel’yanov, G. A. 2 1983 Asymptotic soliton-form solutions of equations with small dispersion. Zbl 0494.35080Maslov, V. P.; Omel’yanov, G. A. 28 1981 Asymptotic solitonlike solutions of equations with small dispersion. Zbl 0463.35073Maslov, V. P.; Omel’yanov, G. A. 22 1981 all cited Publications top 5 cited Publications 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 all top 5 Cited in 19 Fields 97 Partial differential equations (35-XX) 45 Fluid mechanics (76-XX) 13 Functional analysis (46-XX) 9 Classical thermodynamics, heat transfer (80-XX) 8 Numerical analysis (65-XX) 6 Dynamical systems and ergodic theory (37-XX) 6 Mechanics of deformable solids (74-XX) 6 Statistical mechanics, structure of matter (82-XX) 3 Ordinary differential equations (34-XX) 3 Geophysics (86-XX) 2 Mechanics of particles and systems (70-XX) 2 Quantum theory (81-XX) 2 Astronomy and astrophysics (85-XX) 1 General and overarching topics; collections (00-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Approximations and expansions (41-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Probability theory and stochastic processes (60-XX) 1 Relativity and gravitational theory (83-XX) Citations by Year