Komech, A. I.; Kopylova, E. A. On the stability of solitons for the Maxwell-Lorentz equations with rotating particle. (English) Zbl 1521.35169 Milan J. Math. 91, No. 1, 155-173 (2023). Reviewer: Eric Stachura (Marietta) MSC: 35Q60 78A35 35C08 35B35 37K06 37K40 53D17 70S05 70G65 70G45 PDFBibTeX XMLCite \textit{A. I. Komech} and \textit{E. A. Kopylova}, Milan J. Math. 91, No. 1, 155--173 (2023; Zbl 1521.35169) Full Text: DOI arXiv
Komech, A. I.; Kopylova, E. A. On the Hamilton-Poisson structure and solitons for the Maxwell-Lorentz equations with spinning particle. (English) Zbl 1512.35566 J. Math. Anal. Appl. 522, No. 2, Article ID 126976, 21 p. (2023). Reviewer: Eric Stachura (Marietta) MSC: 35Q60 78A35 78A02 37K40 35C08 35A01 35A02 PDFBibTeX XMLCite \textit{A. I. Komech} and \textit{E. A. Kopylova}, J. Math. Anal. Appl. 522, No. 2, Article ID 126976, 21 p. (2023; Zbl 1512.35566) Full Text: DOI
Komech, Alexander I. On quantum jumps and attractors of the Maxwell-Schrödinger equations. (English. French summary) Zbl 1498.35456 Ann. Math. Qué. 46, No. 1, 139-159 (2022). MSC: 35Q40 35Q55 35Q41 35Q60 35L70 35P30 35B20 35B41 35C08 78A45 47J10 47J35 37K06 35R03 PDFBibTeX XMLCite \textit{A. I. Komech}, Ann. Math. Qué. 46, No. 1, 139--159 (2022; Zbl 1498.35456) Full Text: DOI arXiv
Imaykin, V. M. Stability of solitons for a rotating charge with a fixed center of mass in the Maxwell field. (English. Russian original) Zbl 1464.81059 J. Math. Sci., New York 255, No. 5, 653-663 (2021); translation from Probl. Mat. Anal. 109, 109-117 (2021). MSC: 81V10 78A35 81R25 78A25 35C08 35B35 PDFBibTeX XMLCite \textit{V. M. Imaykin}, J. Math. Sci., New York 255, No. 5, 653--663 (2021; Zbl 1464.81059); translation from Probl. Mat. Anal. 109, 109--117 (2021) Full Text: DOI
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
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
Imaykin, Valeriy; Komech, Alexander; Spohn, Herbert On the Lagrangian theory for rotating charge in the Maxwell field. (English) Zbl 1303.35109 Phys. Lett., A 379, No. 1-2, 5-10 (2015). MSC: 35Q60 70H25 70G65 PDFBibTeX XMLCite \textit{V. Imaykin} et al., Phys. Lett., A 379, No. 1--2, 5--10 (2015; Zbl 1303.35109) Full Text: DOI arXiv
Falconi, Marco Global solution of the electromagnetic field-particle system of equations. (English) Zbl 1366.78005 J. Math. Phys. 55, No. 10, 101502, 12 p. (2014). MSC: 78A25 78A35 35Q61 PDFBibTeX XMLCite \textit{M. Falconi}, J. Math. Phys. 55, No. 10, 101502, 12 p. (2014; Zbl 1366.78005) Full Text: DOI arXiv
Imaykin, V. M. Soliton asymptotics for systems of ‘field-particle’ type. (English. Russian original) Zbl 1307.35288 Russ. Math. Surv. 68, No. 2, 227-281 (2013); translation from Usp. Mat. Nauk. 68, No. 2, 33-90 (2013). MSC: 35Q60 35Q61 78A35 81U99 37K40 PDFBibTeX XMLCite \textit{V. M. Imaykin}, Russ. Math. Surv. 68, No. 2, 227--281 (2013; Zbl 1307.35288); translation from Usp. Mat. Nauk. 68, No. 2, 33--90 (2013) Full Text: DOI
Taneco-Hernández, Marco A. Nonlinear scattering in the Lamb system. (English) Zbl 1254.37044 Ball, Joseph A. (ed.) et al., Recent progress in operator theory and its applications. Proceedings of the 20th international workshop on operator theory and applications (IWOTA), Guanajuato, Mexico, September 21–25, 2009. Basel: Birkhäuser (ISBN 978-3-0348-0345-8/hbk; 978-3-0348-0346-5/ebook). Operator Theory: Advances and Applications 220, 307-322 (2012). MSC: 37K05 35P25 35A30 PDFBibTeX XMLCite \textit{M. A. Taneco-Hernández}, Oper. Theory: Adv. Appl. 220, 307--322 (2012; Zbl 1254.37044) Full Text: DOI
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
Kunze, Markus On the absence of radiationless motion for a rotating classical charge. (English) Zbl 1192.78012 Adv. Math. 223, No. 5, 1632-1665 (2010). Reviewer: Johannes Elschner (Berlin) MSC: 78A35 35Q60 PDFBibTeX XMLCite \textit{M. Kunze}, Adv. Math. 223, No. 5, 1632--1665 (2010; Zbl 1192.78012) Full Text: DOI
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