Omel’yanov, G.; Rodriguez, J. Noyola Solitary wave solutions to a generalization of the mKdV equation. (English) Zbl 07712744 Russ. J. Math. Phys. 30, No. 2, 246-256 (2023). MSC: 35Q35 35Q53 76B15 76B25 35C08 35A09 35A01 35A02 37K15 37K10 PDFBibTeX XMLCite \textit{G. Omel'yanov} and \textit{J. N. Rodriguez}, Russ. J. Math. Phys. 30, No. 2, 246--256 (2023; Zbl 07712744) Full Text: DOI arXiv
Omel’yanov, G. Cuspon-type waves and their properties. (English) Zbl 07728711 Nonlinear Phenom. Complex Syst., Minsk 24, No. 2, 145-155 (2021). MSC: 35Q35 76B15 35D30 35B40 35C07 35C08 35R35 PDFBibTeX XMLCite \textit{G. Omel'yanov}, Nonlinear Phenom. Complex Syst., Minsk 24, No. 2, 145--155 (2021; Zbl 07728711) Full Text: DOI
Omel’yanov, G. A. Weak multi-phase asymptotics for nonintegrable equations. (English) Zbl 1466.35316 Russ. J. Math. Phys. 28, No. 1, 84-95 (2021). Reviewer: Ahmed Lesfari (El Jadida) MSC: 35Q53 35B40 35C08 35A02 PDFBibTeX XMLCite \textit{G. A. Omel'yanov}, Russ. J. Math. Phys. 28, No. 1, 84--95 (2021; Zbl 1466.35316) Full Text: DOI
Noyola Rodriguez, Jesus; Omel’yanov, Georgy A finite difference scheme for smooth solutions of the general Degasperis-Procesi equation. (English) Zbl 07771419 Numer. Methods Partial Differ. Equations 36, No. 4, 887-905 (2020). MSC: 65-XX 35-XX PDFBibTeX XMLCite \textit{J. Noyola Rodriguez} and \textit{G. Omel'yanov}, Numer. Methods Partial Differ. Equations 36, No. 4, 887--905 (2020; Zbl 07771419) Full Text: DOI
Omel’yanov, G. Collision of solitons in non-integrable versions of the Degasperis-Procesi model. (English) Zbl 1489.35230 Chaos Solitons Fractals 136, Article ID 109802, 9 p. (2020). MSC: 35Q51 35C08 37K40 PDFBibTeX XMLCite \textit{G. Omel'yanov}, Chaos Solitons Fractals 136, Article ID 109802, 9 p. (2020; Zbl 1489.35230) Full Text: DOI
Rodriguez, J. Noyola; Omel’yanov, G. General Degasperis-Procesi equation and its solitary wave solutions. (English) Zbl 1442.35066 Chaos Solitons Fractals 118, 41-46 (2019). MSC: 35C08 35Q35 35Q53 35D30 PDFBibTeX XMLCite \textit{J. N. Rodriguez} and \textit{G. Omel'yanov}, Chaos Solitons Fractals 118, 41--46 (2019; Zbl 1442.35066) Full Text: DOI
Omel’yanov, G. A.; Orozco-Casillas, G. A. Dynamics of distorted solitons in the modified Zakharov-Kuznetsov model. (English) Zbl 1440.35296 Nonlinear Phenom. Complex Syst., Minsk 22, No. 3, 242-250 (2019). MSC: 35Q53 37K40 PDFBibTeX XMLCite \textit{G. A. Omel'yanov} and \textit{G. A. Orozco-Casillas}, Nonlinear Phenom. Complex Syst., Minsk 22, No. 3, 242--250 (2019; Zbl 1440.35296)
Omel’yanov, G. Classical and nonclassical solitary waves in the general Degasperis-Procesi model. (English) Zbl 1427.37054 Russ. J. Math. Phys. 26, No. 3, 384-390 (2019). MSC: 37K40 37K10 PDFBibTeX XMLCite \textit{G. Omel'yanov}, Russ. J. Math. Phys. 26, No. 3, 384--390 (2019; Zbl 1427.37054) Full Text: DOI
Omel’yanov, Georgy Soliton dynamics for the general Degasperis-Procesi equation. (English) Zbl 1428.35394 Lindahl, Karl-Olof (ed.) et al., Analysis, probability, applications, and computation. Proceedings of the 11th ISAAC congress, Växjö, Sweden, August 14–18, 2017. Cham: Birkhäuser. Trends Math., 445-454 (2019). MSC: 35Q35 35C08 PDFBibTeX XMLCite \textit{G. Omel'yanov}, in: Analysis, probability, applications, and computation. Proceedings of the 11th ISAAC congress, Växjö, Sweden, August 14--18, 2017. Cham: Birkhäuser. 445--454 (2019; Zbl 1428.35394) Full Text: DOI arXiv
Rodriguez, J. Noyola; Omel’yanov, G. Solitons and peaked solitons for the general Degasperis-Procesi model. arXiv:1806.01927 Preprint, arXiv:1806.01927 [math.AP] (2018). MSC: 35Q35 35Q53 35D30 BibTeX Cite \textit{J. N. Rodriguez} and \textit{G. Omel'yanov}, ``Solitons and peaked solitons for the general Degasperis-Procesi model'', Preprint, arXiv:1806.01927 [math.AP] (2018) Full Text: arXiv OA License
Omel’yanov, George Multi-soliton collision for essentially nonintegrable equations. (English) Zbl 1383.35045 Oberguggenberger, Michael (ed.) et al., Generalized functions and Fourier analysis. Dedicated to Stevan Pilipović on the occasion of his 65th birthday. Contributions of the 8th, 9th and 10th ISAAC congresses, Moscow, Russia, 2011, Krakow, Poland, 2013 and Macau, China, 2015. Basel: Birkhäuser/Springer (ISBN 978-3-319-51910-4/hbk; 978-3-319-51911-1/ebook). Operator Theory: Advances and Applications 260. Advances in Partial Differential Equations, 153-170 (2017). MSC: 35C08 35B25 35Q53 PDFBibTeX XMLCite \textit{G. Omel'yanov}, Oper. Theory: Adv. Appl. 260, 153--170 (2017; Zbl 1383.35045) Full Text: DOI
Omel’yanov, G. Collision of solitons for a non-homogenous version of the KdV equation: asymptotics and numerical simulation. (English) Zbl 1368.65143 Dimov, Ivan (ed.) et al., Numerical analysis and its applications. 6th international conference, NAA 2016, Lozenetz, Bulgaria, June 15–22, 2016. Revised selected papers. Cham: Springer (ISBN 978-3-319-57098-3/pbk; 978-3-319-57099-0/ebook). Lecture Notes in Computer Science 10187, 517-524 (2017). MSC: 65M06 35Q51 35Q53 PDFBibTeX XMLCite \textit{G. Omel'yanov}, Lect. Notes Comput. Sci. 10187, 517--524 (2017; Zbl 1368.65143) Full Text: DOI
Omel’yanov, Georgy Wave collision for the gKdV-4 equation. Asymptotic approach. (English) Zbl 1371.35254 Discontin. Nonlinearity Complex. 6, No. 1, 35-47 (2017). MSC: 35Q53 35C08 35B40 PDFBibTeX XMLCite \textit{G. Omel'yanov}, Discontin. Nonlinearity Complex. 6, No. 1, 35--47 (2017; Zbl 1371.35254) Full Text: DOI
Omel’yanov, G. Propagation and interaction of solitons for nonintegrable equations. (English) Zbl 1354.35132 Russ. J. Math. Phys. 23, No. 2, 225-243 (2016). Reviewer: Piotr Biler (Wrocław) MSC: 35Q53 35C08 35B40 PDFBibTeX XMLCite \textit{G. Omel'yanov}, Russ. J. Math. Phys. 23, No. 2, 225--243 (2016; Zbl 1354.35132) Full Text: DOI
Omel’yanov, Georgy A. Soliton-type asymptotics for non-integrable equations: a survey. (English) Zbl 1330.35385 Math. Methods Appl. Sci. 38, No. 10, 2062-2071 (2015). MSC: 35Q53 35D30 35C08 PDFBibTeX XMLCite \textit{G. A. Omel'yanov}, Math. Methods Appl. Sci. 38, No. 10, 2062--2071 (2015; Zbl 1330.35385) Full Text: DOI
Omel’yanov, Georgy Interaction of 3 solitons for the GKdV-4 equation. arXiv:1504.02167 Preprint, arXiv:1504.02167 [math.AP] (2015). MSC: 35Q53 35D30 BibTeX Cite \textit{G. Omel'yanov}, ``Interaction of 3 solitons for the GKdV-4 equation'', Preprint, arXiv:1504.02167 [math.AP] (2015) Full Text: arXiv OA License
García-Alvarado, Martín G.; Omel’yanov, Georgii A. Interaction of solitons and the effect of radiation for the generalized KdV equation. (English) Zbl 1510.37111 Commun. Nonlinear Sci. Numer. Simul. 19, No. 8, 2724-2733 (2014). MSC: 37K40 35Q53 PDFBibTeX XMLCite \textit{M. G. García-Alvarado} and \textit{G. A. Omel'yanov}, Commun. Nonlinear Sci. Numer. Simul. 19, No. 8, 2724--2733 (2014; Zbl 1510.37111) Full Text: DOI
Omel’yanov, G. A.; Valdez-Grijalva, M. A. Asymptotics for a \(C^1\)-version of the KdV equation. (English) Zbl 1339.35272 Nonlinear Phenom. Complex Syst., Minsk 17, No. 2, 106-115 (2014). MSC: 35Q53 35C08 35B35 35B20 35D30 65M06 PDFBibTeX XMLCite \textit{G. A. Omel'yanov} and \textit{M. A. Valdez-Grijalva}, Nonlinear Phenom. Complex Syst., Minsk 17, No. 2, 106--115 (2014; Zbl 1339.35272) Full Text: arXiv Link
Omel’yanov, Georgii A.; Segundo-Caballero, Israel Interaction of solitons for sine-Gordon-type equations. (English) Zbl 1273.81082 J. Math. 2013, Article ID 845926, 8 p. (2013). MSC: 81Q05 35Q40 PDFBibTeX XMLCite \textit{G. A. Omel'yanov} and \textit{I. Segundo-Caballero}, J. Math. 2013, Article ID 845926, 8 p. (2013; Zbl 1273.81082) Full Text: DOI
Garcia Alvarado, Martin G.; Omel’yanov, Georgii A. Interaction of solitary waves for the generalized KdV equation. (English) Zbl 1247.35131 Commun. Nonlinear Sci. Numer. Simul. 17, No. 8, 3204-3218 (2012). MSC: 35Q53 65M06 35C08 PDFBibTeX XMLCite \textit{M. G. Garcia Alvarado} and \textit{G. A. Omel'yanov}, Commun. Nonlinear Sci. Numer. Simul. 17, No. 8, 3204--3218 (2012; Zbl 1247.35131) Full Text: DOI
Omel’yanov, G. A. About the stability problem for strictly hyperbolic systems of conservation laws. (English) Zbl 1262.35037 Rend. Semin. Mat., Univ. Politec. Torino 69, No. 4, 16 p. (2011). MSC: 35B35 35L40 35L60 35L65 35L67 35D30 PDFBibTeX XMLCite \textit{G. A. Omel'yanov}, Rend. Semin. Mat., Univ. Politec. Torino 69, No. 4, 16 p. (2011; Zbl 1262.35037)
Omel’yanov, G. A. Uniform in time description of singularities interaction and the uniqueness problem. (English) Zbl 1218.35142 Nonlinear Phenom. Complex Syst., Minsk 14, No. 1, 38-48 (2011). MSC: 35L65 35L60 35L67 35L45 PDFBibTeX XMLCite \textit{G. A. Omel'yanov}, Nonlinear Phenom. Complex Syst., Minsk 14, No. 1, 38--48 (2011; Zbl 1218.35142) Full Text: Link
Omel’yanov, Georgii A.; Segundo-Caballero, Israel Asymptotic and numerical description of the kink/antikink interaction. (English) Zbl 1203.35173 Electron. J. Differ. Equ. 2010, Paper No. 150, 19 p. (2010). MSC: 35L71 65M12 35B25 35C07 35L15 PDFBibTeX XMLCite \textit{G. A. Omel'yanov} and \textit{I. Segundo-Caballero}, Electron. J. Differ. Equ. 2010, Paper No. 150, 19 p. (2010; Zbl 1203.35173) Full Text: EuDML EMIS
Martinez, Antonio Olivas; Omel’yanov, Georgy A. Uniform in time description for weak solutions of the Hopf equation with nonconvex nonlinearity. (English) Zbl 1188.35151 Int. J. Math. Math. Sci. 2009, Article ID 101647, 16 p. (2009). MSC: 35Q35 35Q15 35A35 76L05 76M45 PDFBibTeX XMLCite \textit{A. O. Martinez} and \textit{G. A. Omel'yanov}, Int. J. Math. Math. Sci. 2009, Article ID 101647, 16 p. (2009; Zbl 1188.35151) Full Text: DOI EuDML
Garcia, Martin G.; Omel’yanov, Georgii A. Kink-antikink interaction for semilinear wave equations with a small parameter. (English) Zbl 1173.35597 Electron. J. Differ. Equ. 2009, Paper No. 45, 26 p. (2009). MSC: 35L70 35B25 PDFBibTeX XMLCite \textit{M. G. Garcia} and \textit{G. A. Omel'yanov}, Electron. J. Differ. Equ. 2009, Paper No. 45, 26 p. (2009; Zbl 1173.35597) Full Text: EuDML EMIS
Kulagin, D. A.; Omel’yanov, G. A. Interaction of kinks for semilinear wave equations with a small parameter. (English) Zbl 1096.35088 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 65, No. 2, 347-378 (2006). MSC: 35L70 35L67 35Q53 35L15 PDFBibTeX XMLCite \textit{D. A. Kulagin} and \textit{G. A. Omel'yanov}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 65, No. 2, 347--378 (2006; Zbl 1096.35088) Full Text: DOI
Flores Espinoza, R.; Omel’yanov, G. A. Construction of uniform in time asymptotics for interaction of shock waves in gas dynamics. (English) Zbl 1098.35107 Integral Transforms Spec. Funct. 17, No. 2-3, 171-176 (2006). Reviewer: Nickolaj A. Lar’kin (Maringa) MSC: 35L67 PDFBibTeX XMLCite \textit{R. Flores Espinoza} and \textit{G. A. Omel'yanov}, Integral Transforms Spec. Funct. 17, No. 2--3, 171--176 (2006; Zbl 1098.35107) Full Text: DOI
García-Alvarado, M. G.; Flores-Espinoza, R.; Omel’yanov, G. A. Interaction of shock waves in gas dynamics: uniform in time asymptotics. (English) Zbl 1085.76030 Int. J. Math. Math. Sci. 2005, No. 19, 3111-3126 (2005). MSC: 76L05 76M45 76N15 PDFBibTeX XMLCite \textit{M. G. García-Alvarado} et al., Int. J. Math. Math. Sci. 2005, No. 19, 3111--3126 (2005; Zbl 1085.76030) Full Text: DOI EuDML
Flores-Espinoza, Ruben; Omel’yanov, Georgii A. Asymptotic behavior for the centered-rarefaction appearance problem. (English) Zbl 1087.35062 Electron. J. Differ. Equ. 2005, Paper No. 148, 25 p. (2005). Reviewer: Ilya A. Chernov (Petrozavodsk) MSC: 35L65 35L67 76L05 76P05 PDFBibTeX XMLCite \textit{R. Flores-Espinoza} and \textit{G. A. Omel'yanov}, Electron. J. Differ. Equ. 2005, Paper No. 148, 25 p. (2005; Zbl 1087.35062) Full Text: EuDML EMIS
Kulagin, D. A.; Omel’yanov, G. A. Asymptotics of kink-kink interaction for sine-Gordon type equations. (English. Russian original) Zbl 1059.35119 Math. Notes 75, No. 4, 563-567 (2004); translation from Mat. Zametki 75, No. 4, 603-607 (2004). MSC: 35Q53 35L70 PDFBibTeX XMLCite \textit{D. A. Kulagin} and \textit{G. A. Omel'yanov}, Math. Notes 75, No. 4, 563--567 (2004; Zbl 1059.35119); translation from Mat. Zametki 75, No. 4, 603--607 (2004) Full Text: DOI
Danilov, Vladimir G.; Omel’yanov, Georgii A. Weak asymptotic method for the study of propagation and interaction of infinitely narrow \(\delta\)-solitons. (English) Zbl 1054.35079 Electron. J. Differ. Equ. 2003, Paper No. 90, 27 p. (2003). Reviewer: Giulio Soliani (Lecce) MSC: 35Q53 35Q51 35C20 37K40 PDFBibTeX XMLCite \textit{V. G. Danilov} and \textit{G. A. Omel'yanov}, Electron. J. Differ. Equ. 2003, Paper No. 90, 27 p. (2003; Zbl 1054.35079) Full Text: EuDML EMIS
Danilov, V. G.; Omel’yanov, G. A.; Shelkovich, V. M. Weak asymptotics method and interaction of nonlinear waves. (English) Zbl 1140.35382 Karasev, M.V. (ed.), Asymptotic methods for wave and quantum problems. Providence, RI: American Mathematical Society (ISBN 0-8218-3336-7/hbk). Transl., Ser. 2, Am. Math. Soc. 208(53), 33-163 (2003). Reviewer: Alan Jeffrey (Newcastle upon Tyne) MSC: 35C20 35Q51 35Q53 35R35 37K40 76B15 PDFBibTeX XMLCite \textit{V. G. Danilov} et al., Transl., Ser. 2, Am. Math. Soc. 208, 33--163 (2003; Zbl 1140.35382)
Danilov, V. G.; Omel’yanov, G. A. Weak asymptotics method and the interaction of infinitely narrow \(\delta\)-solitons. (English) Zbl 1040.35092 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 54, No. 4, 773-799 (2003). Reviewer: Il’ya Sh. Mogilevskij (Tver) MSC: 35Q53 37K40 35G25 PDFBibTeX XMLCite \textit{V. G. Danilov} and \textit{G. A. Omel'yanov}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 54, No. 4, 773--799 (2003; Zbl 1040.35092) Full Text: DOI
Kulagin, D. A.; Omel’yanov, G. A.; Ordinartseva, N. O. Numerical simulation of unstable processes in phase decomposition problem. (Russian. English summary) Zbl 1055.74031 Mat. Model. 14, No. 2, 27-38 (2002). MSC: 74N20 74S20 PDFBibTeX XMLCite \textit{D. A. Kulagin} et al., Mat. Model. 14, No. 2, 27--38 (2002; Zbl 1055.74031) Full Text: MNR
Danilov, V. G.; Omel’yanov, G. A. Dynamics of the interface between two immiscible liquids with nearly equal densities under gravity. (English) Zbl 1068.76031 Eur. J. Appl. Math. 13, No. 5, 497-516 (2002). MSC: 76E17 PDFBibTeX XMLCite \textit{V. G. Danilov} and \textit{G. A. Omel'yanov}, Eur. J. Appl. Math. 13, No. 5, 497--516 (2002; Zbl 1068.76031) Full Text: DOI
Danilov, Vladimir; Omel’yanov, Georgii; Rozenknop, Daniil Calculations of the hurricane eye motion based on singularity propagation theory. (English) Zbl 1004.86002 Electron. J. Differ. Equ. 2002, Paper No. 16, 17 p. (2002). Reviewer: G.Hetzer (Auburn) MSC: 86A10 35D99 PDFBibTeX XMLCite \textit{V. Danilov} et al., Electron. J. Differ. Equ. 2002, Paper No. 16, 17 p. (2002; Zbl 1004.86002) Full Text: EuDML EMIS
Omel’yanov, G. A. Resonant interaction of short waves: general approach. (English) Zbl 1186.35190 Russ. J. Math. Phys. 8, No. 2, 239-243 (2001). MSC: 35Q53 35Q55 37N20 PDFBibTeX XMLCite \textit{G. A. Omel'yanov}, Russ. J. Math. Phys. 8, No. 2, 239--243 (2001; Zbl 1186.35190)
Maslov, V. P.; Omel’yanov, G. A. Geometric asymptotics for nonlinear PDE. I. Transl. from the Russian manuscript by D. Chibisov. (English) Zbl 0984.35001 Translations of Mathematical Monographs. 202. Providence, RI: American Mathematical Society (AMS). viii, 285 p. (2001). Reviewer: Igor Andrianov (Köln) MSC: 35-02 35Q51 35Q30 81Q20 37K55 35R35 76L05 PDFBibTeX XMLCite \textit{V. P. Maslov} and \textit{G. A. Omel'yanov}, Geometric asymptotics for nonlinear PDE. I. Transl. from the Russian manuscript by D. Chibisov. Providence, RI: American Mathematical Society (AMS) (2001; Zbl 0984.35001)
Omel’yanov, Georgii A. Weak singularity dynamics in a nonlinear viscous medium. arXiv:math-ph/0012004 Preprint, arXiv:math-ph/0012004 [math-ph] (2000). MSC: 35K65 35Q35 35D05 BibTeX Cite \textit{G. A. Omel'yanov}, ``Weak singularity dynamics in a nonlinear viscous medium'', Preprint, arXiv:math-ph/0012004 [math-ph] (2000) Full Text: arXiv
Omel’yanov, G. A.; Trushkov, V. V. Dynamics of a free boundary in a binary medium with variable thermal conductivity. (English. Russian original) Zbl 0944.35114 Math. Notes 66, No. 2, 181-189 (1999); translation from Mat. Zametki 66, No. 2, 231-241 (1999). MSC: 35R35 80A22 PDFBibTeX XMLCite \textit{G. A. Omel'yanov} and \textit{V. V. Trushkov}, Math. Notes 66, No. 2, 181--189 (1999; Zbl 0944.35114); translation from Mat. Zametki 66, No. 2, 231--241 (1999) Full Text: DOI
Danilov, Vladimir G.; Omel’yanov, Georgii A. Calculation of the singularity dynamics for quadratic nonlinear hyperbolic equations. Example: The Hopf equation. (English) Zbl 0932.35144 Grosser, Michael (ed.) et al., Nonlinear theory of generalized functions. Proceedings of the workshop on nonlinear theory of nonlinear functions, Erwin-Schrödinger-Institute, Vienna, Austria, October–December 1997. Boca Raton, FL: Chapman & Hall. Chapman Hall/CRC Res. Notes Math. 401, 63-74 (1999). Reviewer: Manfred Möller (Johannesburg) MSC: 35L67 35D05 35R35 PDFBibTeX XMLCite \textit{V. G. Danilov} and \textit{G. A. Omel'yanov}, Chapman Hall/CRC Res. Notes Math. 401, 63--74 (1999; Zbl 0932.35144)
Danilov, V. G.; Omel’yanov, G. A.; Radkevich, E. V. Hugoniot-type conditions and weak solutions to the phase-field system. (English) Zbl 0918.35036 Eur. J. Appl. Math. 10, No. 1, 55-77 (1999). MSC: 35D05 35R35 76T99 PDFBibTeX XMLCite \textit{V. G. Danilov} et al., Eur. J. Appl. Math. 10, No. 1, 55--77 (1999; Zbl 0918.35036) Full Text: DOI
Omel’yanov, G. A.; Danilov, V. G.; Radkevich, E. V. Asymptotic solution of the conserved phase field system in the fast relaxation case. (English) Zbl 0923.35082 Eur. J. Appl. Math. 9, No. 1, 1-21 (1998). Reviewer: Costică Moroşanu (Iaşi) MSC: 35K60 35B25 80A22 PDFBibTeX XMLCite \textit{G. A. Omel'yanov} et al., Eur. J. Appl. Math. 9, No. 1, 1--21 (1998; Zbl 0923.35082) Full Text: DOI
Omel’yanov, G. A.; Danilov, V. G.; Radkevich, E. V. Tanh-type asymptotic solution of the conserved phase field system. (English) Zbl 0921.35192 Adv. Math. Sci. Appl. 8, No. 2, 663-689 (1998). Reviewer: S.Benzoni (Lyon) MSC: 35R35 80A22 PDFBibTeX XMLCite \textit{G. A. Omel'yanov} et al., Adv. Math. Sci. Appl. 8, No. 2, 663--689 (1998; Zbl 0921.35192)
Omel’yanov, G. A.; Trushkov, V. V. A geometric correction in the problem on the motion of a free boundary. (English. Russian original) Zbl 0922.35191 Math. Notes 63, No. 1, 137-139 (1998); translation from Mat. Zametki 63, No. 1, 151-153 (1998). MSC: 35R35 35Q72 80A22 PDFBibTeX XMLCite \textit{G. A. Omel'yanov} and \textit{V. V. Trushkov}, Math. Notes 63, No. 1, 137--139 (1998; Zbl 0922.35191); translation from Mat. Zametki 63, No. 1, 151--153 (1998) Full Text: DOI
Danilov, V. G.; Omel’yanov, G. A.; Radkevich, E. V. Weak solutions to the phase field system. (English) Zbl 0908.35143 Integral Transforms Spec. Funct. 6, No. 1-4, 27-35 (1998). MSC: 35R35 80A22 35L67 PDFBibTeX XMLCite \textit{V. G. Danilov} et al., Integral Transforms Spec. Funct. 6, No. 1--4, 27--35 (1998; Zbl 0908.35143) Full Text: DOI
Omel’yanov, G. A.; Radkevich, E. V.; Danilov, V. G. Phase transition in a phase field system. (English. Russian original) Zbl 0964.35162 Dokl. Math. 55, No. 1, 121-124 (1997); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 352, No. 6, 731-734 (1997). MSC: 35Q72 35R35 35K20 80A22 PDFBibTeX XMLCite \textit{G. A. Omel'yanov} et al., Dokl. Math. 55, No. 1, 731--734 (1997; Zbl 0964.35162); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 352, No. 6, 731--734 (1997)
Danilov, V. G.; Omel’yanov, G. A.; Radkevich, E. V. Asymptotic solutions of the Cahn-Hilliard system in the fast relaxation case. (English. Russian original) Zbl 0983.35054 J. Math. Sci., New York 97, No. 3, 4027-4044 (1999); translation from Tr. Semin. Im. I. G. Petrovskogo 20, 48-80 (1997). Reviewer: Vladimir Ďurikovič (Bratislava) MSC: 35K50 35B35 PDFBibTeX XMLCite \textit{V. G. Danilov} et al., J. Math. Sci., New York 97, No. 3, 4027--4044 (1997; Zbl 0983.35054); translation from Tr. Semin. Im. I. G. Petrovskogo 20, 48--80 (1997) Full Text: DOI
Danilov, V. G.; Omel’yanov, G. A. Propagation of singularities and related problems of solidification. (English) Zbl 0947.46032 Mat. Vesn. 49, No. 2, 143-150 (1997). Reviewer: Zoran Kadelburg (Zemun) MSC: 46F99 35B32 35D99 47J15 PDFBibTeX XMLCite \textit{V. G. Danilov} and \textit{G. A. Omel'yanov}, Mat. Vesn. 49, No. 2, 143--150 (1997; Zbl 0947.46032)
Omel’yanov, G. A.; Radkevich, E. V.; Danilov, V. G. ‘Stabilization’ of a solution of the phase field system. (English. Russian original) Zbl 0909.35157 Trans. Mosc. Math. Soc. 1997, 219-237 (1997); translation from Tr. Mosk. Mat. O.-va. 58, 247-267 (1997). MSC: 35R35 80A22 35B65 35K60 35A05 PDFBibTeX XMLCite \textit{G. A. Omel'yanov} et al., Trans. Mosc. Math. Soc. 1997, 219--237 (1997; Zbl 0909.35157); translation from Tr. Mosk. Mat. O.-va. 58, 247--267 (1997)
Maslov, Victor P.; Omel’yanov, Georgij A. The dynamo problem for large hydrodynamic and magnetic Reynolds numbers. (English) Zbl 0914.76092 Russ. J. Math. Phys. 4, No. 1, 75-86 (1996). MSC: 76W05 35Q35 35Q60 PDFBibTeX XMLCite \textit{V. P. Maslov} and \textit{G. A. Omel'yanov}, Russ. J. Math. Phys. 4, No. 1, 75--86 (1996; Zbl 0914.76092)
Omel’yanov, G. A.; Danilov, V. G.; Radkevich, E. V. Soliton type asymptotic solutions of the conserved phase field system. (English) Zbl 0880.35120 Port. Math. 53, No. 4, 471-501 (1996). Reviewer: M.Čanak (Beograd) MSC: 35Q72 35R35 PDFBibTeX XMLCite \textit{G. A. Omel'yanov} et al., Port. Math. 53, No. 4, 471--501 (1996; Zbl 0880.35120) Full Text: EuDML
Danilov, V. G.; Omel’yanov, G. A.; Radkevich, E. V. Justification of asymptotics of solutions of the phase-field equations and a modified Stefan problem. (English. Russian original) Zbl 0870.35127 Sb. Math. 186, No. 12, 1753-1771 (1995); translation from Mat. Sb. 186, No. 12, 63-80 (1995). MSC: 35R35 35C20 35B25 35K55 PDFBibTeX XMLCite \textit{V. G. Danilov} et al., Sb. Math. 186, No. 12, 1753--1771 (1995; Zbl 0870.35127); translation from Mat. Sb. 186, No. 12, 63--80 (1995) Full Text: DOI
Omel’yanov, G. A.; Radkevich, E. V.; Danilov, V. G. Stability and ”stabilization” of the solution of phase field system. (English) Zbl 0864.35062 Kenmochi, N. (ed.) et al., Proceedings of the Banach Center minisemester on nonlinear analysis and applications, Warsaw, Poland, November 14 – December 15, 1994. Tokyo: Gakkōtosho Co., Ltd. GAKUTO Int. Ser., Math. Sci. Appl. 7, 319-342 (1995). MSC: 35K85 35K60 35K40 PDFBibTeX XMLCite \textit{G. A. Omel'yanov} et al., GAKUTO Int. Ser., Math. Sci. Appl. 7, 319--342 (1995; Zbl 0864.35062)
Maslov, V. P.; Omel’yanov, G. A. The turbulent dynamo problem. (English. Russian original) Zbl 0867.76094 Math. Notes 58, No. 6, 1352-1355 (1995); translation from Mat. Zametki 58, No. 6, 936-939 (1995). Reviewer: P.Smith (Keele) MSC: 76W05 76F10 85A30 PDFBibTeX XMLCite \textit{V. P. Maslov} and \textit{G. A. Omel'yanov}, Math. Notes 58, No. 6, 1352--1355 (1995; Zbl 0867.76094); translation from Mat. Zametki 58, No. 6, 936--939 (1995) Full Text: DOI
Danilov, V. G.; Omel’yanov, G. A.; Radkevich, E. V. Asymptotics of the solution to the phase field system and the modified Stefan problem. (English. Russian original) Zbl 0855.35134 Differ. Equations 31, No. 3, 446-454 (1995); translation from Differ. Uravn. 31, No. 3, 483-491 (1995). Reviewer: V.Chernyatin (Szczecin) MSC: 35R35 80A22 PDFBibTeX XMLCite \textit{V. G. Danilov} et al., Differ. Equations 31, No. 3, 446--454 (1995; Zbl 0855.35134); translation from Differ. Uravn. 31, No. 3, 483--491 (1995)
Omel’yanov, G. A.; Danilov, V. G.; Radkevich, E. V. On regularization of initial data of the modified Stefan problem. (English. Russian original) Zbl 0855.35136 Math. Notes 57, No. 5, 559-564 (1995); translation from Mat. Zametki 57, No. 5, 793-802 (1995). Reviewer: L.A.Sakhnovich (Odessa) MSC: 35R35 80A22 PDFBibTeX XMLCite \textit{G. A. Omel'yanov} et al., Math. Notes 57, No. 5, 793--795 (1995; Zbl 0855.35136); translation from Mat. Zametki 57, No. 5, 793--802 (1995) Full Text: DOI
Danilov, V. G.; Omel’yanov, G. A.; Radkevich, E. V. A modified Stefan problem as a limit of the asymptotics of a phase field system. (English. Russian original) Zbl 0879.35164 Dokl. Math. 52, No. 1, 74-77 (1995); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 343, No. 5, 586-589 (1995). MSC: 35R35 80A22 PDFBibTeX XMLCite \textit{V. G. Danilov} et al., Dokl. Math. 52, No. 1, 74--77 (1995; Zbl 0879.35164); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 343, No. 5, 586--589 (1995)
Maslov, V. P.; Omel’yanov, G. A. Turbulent bending of a pinch in vacuum. (English. Russian original) Zbl 0831.76100 Phys.-Dokl. 39, No. 5, 308-311 (1994); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 336, No. 3, 320-323 (1994). MSC: 76X05 76W05 PDFBibTeX XMLCite \textit{V. P. Maslov} and \textit{G. A. Omel'yanov}, Phys.-Dokl. 39, No. 5, 308--311 (1994; Zbl 0831.76100); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 336, No. 3, 320--323 (1994)
Maslov, V. P.; Omel’yanov, G. A. Three-scale expansion of the solution of the magnetohydrodynamic equations and the Reynolds equation for a tokamak. (English. Russian original) Zbl 0818.76093 Theor. Math. Phys. 98, No. 2, 202-211 (1994); translation from Teor. Mat. Fiz. 98, No. 2, 297-311 (1994). MSC: 76W05 76X05 PDFBibTeX XMLCite \textit{V. P. Maslov} and \textit{G. A. Omel'yanov}, Theor. Math. Phys. 98, No. 2, 1 (1994; Zbl 0818.76093); translation from Teor. Mat. Fiz. 98, No. 2, 297--311 (1994) Full Text: DOI
Maslov, Victor P.; Omel’yanov, Georgii A. Fluctuation-generated tokamak pinch instabilities. (English) Zbl 0964.35516 Russ. J. Math. Phys. 2, No. 4, 463-485 (1994). MSC: 35Q35 76W05 35R35 35C20 PDFBibTeX XMLCite \textit{V. P. Maslov} and \textit{G. A. Omel'yanov}, Russ. J. Math. Phys. 2, No. 4, 463--485 (1994; Zbl 0964.35516)
Omel’yanov, G. A. Existence of a solution to the equations of magnetohydrodynamics with helical symmetry in the tokamak approximation. (English. Russian original) Zbl 0799.76094 Math. Notes 53, No. 6, 611-621 (1993); translation from Mat. Zametki 53, No. 6, 72-88 (1993). MSC: 76W05 76X05 35Q35 35Q60 PDFBibTeX XMLCite \textit{G. A. Omel'yanov}, Math. Notes 53, No. 6, 1 (1993; Zbl 0799.76094); translation from Mat. Zametki 53, No. 6, 72--88 (1993) Full Text: DOI
Omel’yanov, G. A. Interaction of waves of different scales in gas dynamics. (English. Russian original) Zbl 0798.76077 Math. Notes 53, No. 1, 107-109 (1993); translation from Mat. Zametki 53, No. 1, 148-151 (1993). MSC: 76N15 35Q35 PDFBibTeX XMLCite \textit{G. A. Omel'yanov}, Math. Notes 53, No. 1, 107--109 (1993; Zbl 0798.76077); translation from Mat. Zametki 53, No. 1, 148--151 (1993) Full Text: DOI
Maslov, V. P.; Omel’yanov, G. A. Kadomtsev-Pogutse type equations for the tokamak and for regions with arbitrary symmetry. (English. Russian original) Zbl 0785.76098 Sov. Phys., Dokl. 37, No. 9, 480-483 (1992); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 326, No. 1, 83-90 (1992). MSC: 76W05 35Q35 PDFBibTeX XMLCite \textit{V. P. Maslov} and \textit{G. A. Omel'yanov}, Sov. Phys., Dokl. 37, No. 9, 1 (1992; Zbl 0785.76098); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 326, No. 1, 83--90 (1992)
Maslov, V. P.; Omel’yanov, G. A. Rapidly oscillating asymptotic solution of magnetohydrodynamic equations in the tokamak approximation. (English. Russian original) Zbl 0786.76102 Theor. Math. Phys. 92, No. 2, 879-895 (1992); translation from Teor. Mat. Fiz. 92, No. 2, 269-292 (1992). MSC: 76W05 35B40 PDFBibTeX XMLCite \textit{V. P. Maslov} and \textit{G. A. Omel'yanov}, Theor. Math. Phys. 92, No. 2, 269--292 (1992; Zbl 0786.76102); translation from Teor. Mat. Fiz. 92, No. 2, 269--292 (1992) Full Text: DOI
Omel’yanov, G. A. Interaction of short waves with nonlinear phases in weakly nonlinear media with small viscosity. (Russian) Zbl 0724.35099 Mat. Zametki 48, No. 5, 150-153 (1990). Reviewer: N.Mitskievich (Moskva) MSC: 35Q53 81Q20 PDFBibTeX XMLCite \textit{G. A. Omel'yanov}, Mat. Zametki 48, No. 5, 150--153 (1990; Zbl 0724.35099)
Omel’yanov, G. A.; Red’kina, T. G. On solvability of basic model equations of three-train interaction. (Russian) Zbl 0850.76527 Application of new methods of analysis to differential equations, Interuniv. Collect. Sci. Works, Voronezh, 84-92 (1989). MSC: 76M99 PDFBibTeX XMLCite \textit{G. A. Omel'yanov} and \textit{T. G. Red'kina}, in: On multiplicity of roots of the symbol for a problem of dynamics of viscous, compressible rotating liquid. . 84--92 (1989; Zbl 0850.76527)
Maslov, V. P.; Omel’yanov, G. A. Asymptotic solution of equations of two-fluid magnetohydrodynamics in case of large Reynolds numbers and the effect of turbulent dynamo. (Russian) Zbl 0850.76836 Dynamical systems and turbulence, Collect. Sci. Works, Kiev, 87-97 (1989). MSC: 76W05 PDFBibTeX XMLCite \textit{V. P. Maslov} and \textit{G. A. Omel'yanov}, in: On a problem of Kolmogorov. . 87--97 (1989; Zbl 0850.76836)
Maslov, V. P.; Omel’yanov, G. A. Single-phase asymptotics for magnetic hydrodynamic equations with large Reynolds numbers. (English. Russian original) Zbl 0695.35148 Sib. Math. J. 29, No. 5, 824-830 (1988); translation from Sib. Mat. Zh. 29, No. 5(171), 172-180 (1988). MSC: 35Q99 76W05 PDFBibTeX XMLCite \textit{V. P. Maslov} and \textit{G. A. Omel'yanov}, Sib. Math. J. 29, No. 5, 824--830 (1988; Zbl 0695.35148); translation from Sib. Mat. Zh. 29, No. 5(171), 172--180 (1988) Full Text: DOI
Maslov, V. P.; Omel’yanov, G. A. Lin-Lees equations for boundary layers in domains with curvilinear boundary. (English) Zbl 0663.76075 Physica D 33, No. 1-3, 266-280 (1988). MSC: 76N15 35Q99 76N20 PDFBibTeX XMLCite \textit{V. P. Maslov} and \textit{G. A. Omel'yanov}, Physica D 33, No. 1--3, 266--280 (1988; Zbl 0663.76075) Full Text: DOI
Omel’yanov, G. A. The generation of radio-frequency waves in weakly nonlinear media with small dispersion. Equations of magnetohydrodynamics. (Russian) Zbl 0850.35026 Asymptotic properties of the solutions of differential equations, Collect. Sci. Works, Ufa, 77-92 (1988). MSC: 35F25 35Q60 76W05 PDFBibTeX XMLCite \textit{G. A. Omel'yanov}, in: The spectrum of elliptic boundary value problems in case of singular perturbations of the boundary conditions. . 77--92 (1988; Zbl 0850.35026)
Maslov, V. P.; Omel’yanov, G. A. Short small-amplitude wave interaction in a weakly dispersive plasma. II. (English. Russian original) Zbl 0728.76125 Ukr. Math. J. 39, No. 6, 599-605 (1987); translation from Ukr. Mat. Zh. 39, No. 6, 737-744 (1987). MSC: 76X05 PDFBibTeX XMLCite \textit{V. P. Maslov} and \textit{G. A. Omel'yanov}, Ukr. Math. J. 39, No. 6, 599--605 (1987; Zbl 0728.76125); translation from Ukr. Mat. Zh. 39, No. 6, 737--744 (1987) Full Text: DOI
Maslov, V. P.; Omel’yanov, G. A. Interaction between small-amplitude short waves in a weakly dispersive plasma. I. (English. Russian original) Zbl 0701.76123 Ukr. Math. J. 39, No. 4, 371-378 (1987); translation from Ukr. Mat. Zh. 39, No. 4, 464-472 (1987). MSC: 76X05 PDFBibTeX XMLCite \textit{V. P. Maslov} and \textit{G. A. Omel'yanov}, Ukr. Math. J. 39, No. 4, 371--378 (1987; Zbl 0701.76123); translation from Ukr. Mat. Zh. 39, No. 4, 464--472 (1987) Full Text: DOI
Maslov, V. P.; Omel’yanov, G. A. Interaction of short waves of small amplitudes in weakly disperging plasma. I. (Russian) Zbl 0850.76890 Ukr. Mat. Zh. 39, No. 4, 464-472 (1987). MSC: 76X05 PDFBibTeX XMLCite \textit{V. P. Maslov} and \textit{G. A. Omel'yanov}, Ukr. Mat. Zh. 39, No. 4, 464--472 (1987; Zbl 0850.76890)
Maslov, V. P.; Omel’yanov, G. A.; Tsupin, V. A. Quasi-linear nonstationary equations and evolution of interior boundary layers: Asymptotical soliton-like solutions. (English) Zbl 0672.76078 BAIL IV, Proc. 4th Int. Conf. Boundary and interior layers, Novosibirsk/USSR 1986, Conf. Ser. 10, 362-367 (1986). MSC: 76N15 35L67 PDFBibTeX XML
Dobrokhotov, S. Yu.; Maslov, V. P.; Omel’yanov, G. A. Multiwave interaction in weakly nonlinear media with dispersion. (Russian) Zbl 0646.35056 Mathematical mechanisms of turbulence (modern nonlinear dynamics in application to turbulence simulation), Collect. sci. Works, Kiev 1986, 25-45 (1986). Reviewer: A.Stoica PDFBibTeX XML
Maslov, V. P.; Omel’yanov, G. A. Soliton-type asymptotic behavior of interior waves in a stratified liquid with weak dispersion. (English. Russian original) Zbl 0663.76010 Differ. Equations 21, 1197-1204 (1985); translation from Differ. Uravn. 21, No. 10, 1766-1775 (1985). MSC: 76B55 76V05 35Q99 PDFBibTeX XMLCite \textit{V. P. Maslov} and \textit{G. A. Omel'yanov}, Differ. Equations 21, 1197--1204 (1985; Zbl 0663.76010); translation from Differ. Uravn. 21, No. 10, 1766--1775 (1985)
Maslov, V. P.; Omel’yanov, G. A.; Tsupin, V. A. Asymptotics of some differential and pseudodifferential equations, and dynamical systems with small dispersion. (English. Russian original) Zbl 0567.35078 Math. USSR, Sb. 50, 191-212 (1985); translation from Mat. Sb., Nov. Ser. 122(164), No. 2, 197-219 (1983). MSC: 35Q99 35S05 35L67 35B40 82B20 82D10 PDFBibTeX XMLCite \textit{V. P. Maslov} et al., Math. USSR, Sb. 50, 191--212 (1985; Zbl 0567.35078); translation from Mat. Sb., Nov. Ser. 122(164), No. 2, 197--219 (1983) Full Text: DOI EuDML
Maslov, V. P.; Omel’yanov, G. A. Hugoniot-type conditions for infinitely narrow solutions of the equation for simple waves. (English. Russian original) Zbl 0547.35071 Sib. Math. J. 24, 787-795 (1983); translation from Sib. Mat. Zh. 24, No. 5(141), 172-182 (1983). Reviewer: Alexandr Doktor (Praha) MSC: 35L60 35L67 76B15 PDFBibTeX XMLCite \textit{V. P. Maslov} and \textit{G. A. Omel'yanov}, Sib. Math. J. 24, 787--795 (1983; Zbl 0547.35071); translation from Sib. Mat. Zh. 24, No. 5(141), 172--182 (1983) Full Text: DOI
Omel’yanov, G. A. Boundary value problems for elliptic systems of nonlinear differential equations with a small parameter. (Russian) Zbl 0518.35035 Differ. Uravn. 18, 1829-1831 (1982). MSC: 35J65 35B20 35B40 35A05 PDFBibTeX XMLCite \textit{G. A. Omel'yanov}, Differ. Uravn. 18, 1829--1831 (1982; Zbl 0518.35035)
Maslov, V. P.; Omel’yanov, G. A. Asymptotic soliton-form solutions of equations with small dispersion. (English) Zbl 0494.35080 Russ. Math. Surv. 36, No. 3, 73-149 (1981). MSC: 35Q99 35C20 76B15 35L67 35L80 76L05 PDFBibTeX XMLCite \textit{V. P. Maslov} and \textit{G. A. Omel'yanov}, Russ. Math. Surv. 36, No. 3, 73--149 (1981; Zbl 0494.35080) Full Text: DOI
Maslov, V. P.; Omel’yanov, G. A. Asymptotic solitonlike solutions of equations with small dispersion. (Russian) Zbl 0463.35073 Usp. Mat. Nauk 36, No. 3(219), 63-126 (1981). MSC: 35Q99 76B15 76L05 35C20 35L67 35L80 PDFBibTeX XMLCite \textit{V. P. Maslov} and \textit{G. A. Omel'yanov}, Usp. Mat. Nauk 36, No. 3(219), 63--126 (1981; Zbl 0463.35073)