Komech, Aleksandr I.; Kopylova, Elena A. Attractors of nonlinear Hamiltonian partial differential equations. (English. Russian original) Zbl 1439.35001 Russ. Math. Surv. 75, No. 1, 1-87 (2020); translation from Usp. Mat. Nauk 75, No. 1, 3-94 (2020). MSC: 35-02 35B41 35B40 35C08 35L71 35B06 PDFBibTeX XMLCite \textit{A. I. Komech} and \textit{E. A. Kopylova}, Russ. Math. Surv. 75, No. 1, 1--87 (2020; Zbl 1439.35001); translation from Usp. Mat. Nauk 75, No. 1, 3--94 (2020) Full Text: DOI arXiv
Kopylova, Elena; Komech, Alexander Global attractor for 1D Dirac field coupled to nonlinear oscillator. (English) Zbl 1437.35600 Commun. Math. Phys. 375, No. 1, 573-603 (2020). MSC: 35Q41 35B41 35C08 35B40 42A38 35B32 35B05 35P30 PDFBibTeX XMLCite \textit{E. Kopylova} and \textit{A. Komech}, Commun. Math. Phys. 375, No. 1, 573--603 (2020; Zbl 1437.35600) Full Text: DOI arXiv
Komech, A.; Kopylova, E.; Spohn, H. On global attractors and radiation damping for nonrelativistic particle coupled to scalar field. (English. Russian original) Zbl 1387.35563 St. Petersbg. Math. J. 29, No. 2, 249-266 (2018); translation from Algebra Anal. 29, No. 2, 34-58 (2017). MSC: 35Q60 78A40 78M35 PDFBibTeX XMLCite \textit{A. Komech} et al., St. Petersbg. Math. J. 29, No. 2, 249--266 (2018; Zbl 1387.35563); translation from Algebra Anal. 29, No. 2, 34--58 (2017) Full Text: DOI arXiv
Komech, Alexander Attractors of Hamilton nonlinear PDEs. (English) Zbl 1382.35049 Discrete Contin. Dyn. Syst. 36, No. 11, 6201-6256 (2016). Reviewer: Jauber C. Oliveira (Florianopolis) MSC: 35B41 35L70 35Q40 PDFBibTeX XMLCite \textit{A. Komech}, Discrete Contin. Dyn. Syst. 36, No. 11, 6201--6256 (2016; Zbl 1382.35049) Full Text: DOI
Kopylova, E. A.; Komech, A. I. Asymptotic stability of stationary states in the wave equation coupled to a nonrelativistic particle. (English) Zbl 1342.81642 Russ. J. Math. Phys. 23, No. 1, 93-100 (2016). MSC: 81U05 PDFBibTeX XMLCite \textit{E. A. Kopylova} and \textit{A. I. Komech}, Russ. J. Math. Phys. 23, No. 1, 93--100 (2016; Zbl 1342.81642) Full Text: DOI arXiv
Komech, A. I.; Kopylova, E. A. Weighted energy decay for magnetic Klein-Gordon equation. (English) Zbl 1311.35028 Appl. Anal. 94, No. 2, 218-232 (2015). MSC: 35B40 35L10 47A40 81U05 PDFBibTeX XMLCite \textit{A. I. Komech} and \textit{E. A. Kopylova}, Appl. Anal. 94, No. 2, 218--232 (2015; Zbl 1311.35028) Full Text: DOI arXiv
Komech, A.; Kopylova, E. On eigenfunction expansion of solutions to the Hamilton equations. (English) Zbl 1300.34195 J. Stat. Phys. 154, No. 1-2, 503-521 (2014). Reviewer: Zaki El Mehi (Alexandria) MSC: 34L10 83A05 34A30 PDFBibTeX XMLCite \textit{A. Komech} and \textit{E. Kopylova}, J. Stat. Phys. 154, No. 1--2, 503--521 (2014; Zbl 1300.34195) Full Text: DOI arXiv
Komech, Alexander I.; Kopylova, Elena A.; Kopylov, Sergey A. On nonlinear wave equations with parabolic potentials. (English) Zbl 1295.35063 J. Spectr. Theory 3, No. 4, 485-503 (2013). MSC: 35B35 37K40 35L71 35C08 35Q56 PDFBibTeX XMLCite \textit{A. I. Komech} et al., J. Spectr. Theory 3, No. 4, 485--503 (2013; Zbl 1295.35063) Full Text: DOI arXiv
Imaykin, Valery; Komech, Alexander; Vainberg, Boris Scattering of solitons for coupled wave-particle equations. (English) Zbl 1235.35068 J. Math. Anal. Appl. 389, No. 2, 713-740 (2012). MSC: 35C08 35L10 37K40 35Q40 PDFBibTeX XMLCite \textit{V. Imaykin} et al., J. Math. Anal. Appl. 389, No. 2, 713--740 (2012; Zbl 1235.35068) Full Text: DOI arXiv Link
Imaykin, Valery; Komech, Alexander; Spohn, Herbert Scattering asymptotics for a charged particle coupled to the Maxwell field. (English) Zbl 1316.78002 J. Math. Phys. 52, No. 4, 042701, 33 p. (2011). MSC: 78A35 78A60 35C08 78A40 28C20 PDFBibTeX XMLCite \textit{V. Imaykin} et al., J. Math. Phys. 52, No. 4, 042701, 33 p. (2011; Zbl 1316.78002) Full Text: DOI arXiv Link
Kopylova, E.; Komech, A. I. On asymptotic stability of kink for relativistic Ginzburg-Landau equations. (English) Zbl 1256.35146 Arch. Ration. Mech. Anal. 202, No. 1, 213-245 (2011). MSC: 35Q56 35Q75 83A05 PDFBibTeX XMLCite \textit{E. Kopylova} and \textit{A. I. Komech}, Arch. Ration. Mech. Anal. 202, No. 1, 213--245 (2011; Zbl 1256.35146) Full Text: DOI arXiv
Komech, A. I.; Kopylova, E. A.; Spohn, H. Scattering of solitons for Dirac equation coupled to a particle. (English) Zbl 1229.35228 J. Math. Anal. Appl. 383, No. 2, 265-290 (2011). Reviewer: M. Marin (Brasov) MSC: 35Q51 35C08 34L40 37J10 37M15 PDFBibTeX XMLCite \textit{A. I. Komech} et al., J. Math. Anal. Appl. 383, No. 2, 265--290 (2011; Zbl 1229.35228) Full Text: DOI arXiv
Kopylova, E. A.; Komech, A. I. On asymptotic stability of moving kink for relativistic Ginzburg-Landau equation. (English) Zbl 1209.35134 Commun. Math. Phys. 302, No. 1, 225-252 (2011). MSC: 35Q56 35Q75 35B35 35B40 35C08 PDFBibTeX XMLCite \textit{E. A. Kopylova} and \textit{A. I. Komech}, Commun. Math. Phys. 302, No. 1, 225--252 (2011; Zbl 1209.35134) Full Text: DOI arXiv
Kopylova, E. A.; Komech, A. I. Long time decay for 2D Klein-Gordon equation. (English) Zbl 1192.35151 J. Funct. Anal. 259, No. 2, 477-502 (2010). MSC: 35Q53 35Q40 81Q05 35B40 PDFBibTeX XMLCite \textit{E. A. Kopylova} and \textit{A. I. Komech}, J. Funct. Anal. 259, No. 2, 477--502 (2010; Zbl 1192.35151) Full Text: DOI arXiv
Komech, A. I.; Kopylova, E. A. Weighted energy decay for 1D Klein-Gordon equation. (English) Zbl 1190.35134 Commun. Partial Differ. Equations 35, No. 2, 353-374 (2010). Reviewer: Petar Popivanov (Sofia) MSC: 35L10 34L25 47A40 81U05 PDFBibTeX XMLCite \textit{A. I. Komech} and \textit{E. A. Kopylova}, Commun. Partial Differ. Equations 35, No. 2, 353--374 (2010; Zbl 1190.35134) Full Text: DOI
Komech, Alexander; Komech, Andrew On global attraction to solitary waves for the Klein-Gordon field coupled to several nonlinear oscillators. (English) Zbl 1180.35124 J. Math. Pures Appl. (9) 93, No. 1, 91-111 (2010). MSC: 35B41 37K40 37L30 37N20 81Q05 35C05 PDFBibTeX XMLCite \textit{A. Komech} and \textit{A. Komech}, J. Math. Pures Appl. (9) 93, No. 1, 91--111 (2010; Zbl 1180.35124) Full Text: DOI arXiv
Komech, A. I.; Kopylova, E. A. Weighted energy decay for 3D Klein-Gordon equation. (English) Zbl 1185.35023 J. Differ. Equations 248, No. 3, 501-520 (2010). Reviewer: Yakov Yakubov (Tel-Aviv) MSC: 35B40 35L15 47A40 35J10 81U05 PDFBibTeX XMLCite \textit{A. I. Komech} and \textit{E. A. Kopylova}, J. Differ. Equations 248, No. 3, 501--520 (2010; Zbl 1185.35023) Full Text: DOI arXiv
Komech, A. I.; Merzon, A. E. On asymptotic completeness for scattering in the nonlinear Lamb system. (English) Zbl 1202.81200 J. Math. Phys. 50, No. 2, 023514, 10 p. (2009). MSC: 81U05 35P25 PDFBibTeX XMLCite \textit{A. I. Komech} and \textit{A. E. Merzon}, J. Math. Phys. 50, No. 2, 023514, 10 p. (2009; Zbl 1202.81200) Full Text: DOI Link
Komech, Alexander; Komech, Andrew Global attraction to solitary waves for Klein-Gordon equation with mean field interaction. (English) Zbl 1177.35201 Ann. Inst. Henri Poincaré, Anal. Non Linéaire 26, No. 3, 855-868 (2009). MSC: 35Q53 37K10 35Q51 35B40 37K40 PDFBibTeX XMLCite \textit{A. Komech} and \textit{A. Komech}, Ann. Inst. Henri Poincaré, Anal. Non Linéaire 26, No. 3, 855--868 (2009; Zbl 1177.35201) Full Text: DOI arXiv EuDML
Buslaev, V. S.; Komech, A. I.; Kopylova, E. A.; Stuart, D. On asymptotic stability of solitary waves in Schrödinger equation coupled to nonlinear oscillator. (English) Zbl 1185.35247 Commun. Partial Differ. Equations 33, No. 4, 669-705 (2008). Reviewer: Igor Andrianov (Köln) MSC: 35Q55 35Q51 35B35 35B40 37K40 PDFBibTeX XMLCite \textit{V. S. Buslaev} et al., Commun. Partial Differ. Equations 33, No. 4, 669--705 (2008; Zbl 1185.35247) Full Text: DOI arXiv
Komech, Alexander; Komech, Andrew Global attractor for a nonlinear oscillator coupled to the Klein-Gordon field. (English) Zbl 1131.35003 Arch. Ration. Mech. Anal. 185, No. 1, 105-142 (2007). Reviewer: Boris V. Loginov (Ul’yanovsk) MSC: 35B41 35Q40 81T10 37L30 35B40 37K40 PDFBibTeX XMLCite \textit{A. Komech} and \textit{A. Komech}, Arch. Ration. Mech. Anal. 185, No. 1, 105--142 (2007; Zbl 1131.35003) Full Text: DOI arXiv
Imaikin, Valery; Komech, Alexander; Vainberg, Boris On scattering of solitons for the Klein-Gordon equation coupled to a particle. (English) Zbl 1127.35054 Commun. Math. Phys. 268, No. 2, 321-367 (2006). MSC: 35Q40 81U05 37K40 35P25 35Q51 35L70 PDFBibTeX XMLCite \textit{V. Imaikin} et al., Commun. Math. Phys. 268, No. 2, 321--367 (2006; Zbl 1127.35054) Full Text: DOI arXiv
Komech, A.; Kopylova, E. Scattering of solitons for the Schrödinger equation coupled to a particle. (English) Zbl 1118.35040 Russ. J. Math. Phys. 13, No. 2, 158-187 (2006). Reviewer: Wuquing Ning (Tokyo) MSC: 35Q40 81Q05 81U15 35Q51 37K40 PDFBibTeX XMLCite \textit{A. Komech} and \textit{E. Kopylova}, Russ. J. Math. Phys. 13, No. 2, 158--187 (2006; Zbl 1118.35040) Full Text: DOI arXiv
Komech, Alexander I.; Komech, Andrew A. On the global attraction to solitary waves for the Klein-Gordon equation coupled to a nonlinear oscillator. (English) Zbl 1096.35020 C. R., Math., Acad. Sci. Paris 343, No. 2, 111-114 (2006). MSC: 35B41 35L70 35L15 35Q51 37L30 PDFBibTeX XMLCite \textit{A. I. Komech} and \textit{A. A. Komech}, C. R., Math., Acad. Sci. Paris 343, No. 2, 111--114 (2006; Zbl 1096.35020) Full Text: DOI arXiv
Imaikin, Valery; Komech, Alexander; Markowich, Peter A. Scattering of solitons of the Klein-Gordon equation coupled to a classical particle. (English) Zbl 1061.35070 J. Math. Phys. 44, No. 3, 1202-1217 (2003). MSC: 35P25 35F20 35Q51 PDFBibTeX XMLCite \textit{V. Imaikin} et al., J. Math. Phys. 44, No. 3, 1202--1217 (2003; Zbl 1061.35070) Full Text: DOI
Komech, Alexander; Spohn, Herbert Soliton-like asymptotics for a classical particle interacting with a scalar wave field. (English) Zbl 0935.37046 Nonlinear Anal., Theory Methods Appl. 33, No. 1, 13-24 (1998). Reviewer: Messoud Efendiev (Berlin) MSC: 37K40 37J05 37K10 PDFBibTeX XMLCite \textit{A. Komech} and \textit{H. Spohn}, Nonlinear Anal., Theory Methods Appl. 33, No. 1, 13--24 (1998; Zbl 0935.37046) Full Text: DOI
Komech, Alexander On transitions to stationary states in Hamiltonian nonlinear wave equations. (English) Zbl 0930.35108 Phys. Lett., A 241, No. 6, 311-322 (1998). MSC: 35L70 35B40 35L30 37K05 35Q60 PDFBibTeX XMLCite \textit{A. Komech}, Phys. Lett., A 241, No. 6, 311--322 (1998; Zbl 0930.35108) Full Text: DOI