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
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
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
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
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
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
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
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. 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
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
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)