Hoang, Vu; Radosz, Maria; Harb, Angel; DeLeon, Aaron; Baza, Alan Radiation reaction in higher-order electrodynamics. (English) Zbl 1479.78005 J. Math. Phys. 62, No. 7, 072901, 31 p. (2021). MSC: 78A35 78A60 83C50 35Q60 PDF BibTeX XML Cite \textit{V. Hoang} et al., J. Math. Phys. 62, No. 7, 072901, 31 p. (2021; Zbl 1479.78005) Full Text: DOI arXiv OpenURL
Dybalski, Wojciech; Hoang, Duc Viet A soft-photon theorem for the Maxwell-Lorentz system. (English) Zbl 1431.78003 J. Math. Phys. 60, No. 10, 102903, 11 p. (2019). MSC: 78A25 78A40 78A35 78A45 81V10 35Q60 35B40 78M35 78A60 PDF BibTeX XML Cite \textit{W. Dybalski} and \textit{D. V. Hoang}, J. Math. Phys. 60, No. 10, 102903, 11 p. (2019; Zbl 1431.78003) Full Text: DOI arXiv OpenURL
Skrypnik, W. I. On the post-Darwin approximation of the Maxwell-Lorentz equations of motion of point charges in the absence of neutrality. (English. Ukrainian original) Zbl 1433.78008 Ukr. Math. J. 71, No. 1, 131-144 (2019); translation from Ukr. Mat. Zh. 71, No. 1, 117-128 (2019). MSC: 78A35 35Q60 PDF BibTeX XML Cite \textit{W. I. Skrypnik}, Ukr. Math. J. 71, No. 1, 131--144 (2019; Zbl 1433.78008); translation from Ukr. Mat. Zh. 71, No. 1, 117--128 (2019) Full Text: DOI OpenURL
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 PDF BibTeX XML Cite \textit{V. Imaykin} et al., Phys. Lett., A 379, No. 1--2, 5--10 (2015; Zbl 1303.35109) Full Text: DOI arXiv OpenURL
Burlak, Gennadiy; Imaykin, Valeriy; Merzon, Anatoli On Hamiltonian theory for rotating charge coupled to the Maxwell field. (English) Zbl 1321.35223 Commun. Math. Anal. 17, No. 2, 24-33 (2014). MSC: 35Q61 35Q70 70H05 PDF BibTeX XML Cite \textit{G. Burlak} et al., Commun. Math. Anal. 17, No. 2, 24--33 (2014; Zbl 1321.35223) Full Text: Euclid OpenURL
Skrypnik, W. I. Periodic and bounded solutions of the Coulomb equation of motion of two and three point charges with equilibrium in the line. (English) Zbl 1310.35223 Ukr. Math. J. 66, No. 5, 758-774 (2014) and Ukr. Mat. Zh. 66, No. 5, 679-693 (2014). MSC: 35Q60 PDF BibTeX XML Cite \textit{W. I. Skrypnik}, Ukr. Math. J. 66, No. 5, 758--774 (2014; Zbl 1310.35223) Full Text: DOI Link OpenURL
Bauer, G.; Deckert, D.-A.; Dürr, D. Maxwell-Lorentz dynamics of rigid charges. (English) Zbl 1274.35370 Commun. Partial Differ. Equations 38, No. 7-9, 1519-1538 (2013). MSC: 35Q60 78A25 35A01 43A15 PDF BibTeX XML Cite \textit{G. Bauer} et al., Commun. Partial Differ. Equations 38, No. 7--9, 1519--1538 (2013; Zbl 1274.35370) Full Text: DOI arXiv OpenURL
Bauer, G.; Deckert, D.-A.; Dürr, D. On the existence of dynamics in Wheeler-Feynman electromagnetism. (English) Zbl 1274.78009 Z. Angew. Math. Phys. 64, No. 4, 1087-1124 (2013). Reviewer: Vladimir Čadež (Beograd) MSC: 78A25 35Q61 78A35 34K40 35L05 35L70 35L15 PDF BibTeX XML Cite \textit{G. Bauer} et al., Z. Angew. Math. Phys. 64, No. 4, 1087--1124 (2013; Zbl 1274.78009) Full Text: DOI arXiv OpenURL
Fleming, Tony Self-field theory. A new mathematical description of physics. (English) Zbl 1239.00035 Singapore: Pan Stanford Publishing (ISBN 978-981-4303-00-2/hbk; 978-981-4303-01-9/ebook). xvi, 246 p., c13. ; (2012). Reviewer: Saeid Jafari (Copenhagen) MSC: 00A79 81-01 81P05 78A25 83C99 PDF BibTeX XML Cite \textit{T. Fleming}, Self-field theory. A new mathematical description of physics. Singapore: Pan Stanford Publishing (2012; Zbl 1239.00035) OpenURL
Perlick, Volker; Carr, Anthony On the initial-value problem of the Maxwell-Lorentz equations. (English) Zbl 1205.78002 J. Phys. A, Math. Theor. 43, No. 44, Article ID 445502, 14 p. (2010). Reviewer: Ömer Kavaklioglu (Izmir) MSC: 78-02 78A25 PDF BibTeX XML Cite \textit{V. Perlick} and \textit{A. Carr}, J. Phys. A, Math. Theor. 43, No. 44, Article ID 445502, 14 p. (2010; Zbl 1205.78002) Full Text: DOI arXiv OpenURL
Suazo, Luis R.; Liu, Weijiu Controlling the motion of charged particles in a vacuum electromagnetic field from the boundary. (English) Zbl 1162.93024 Automatica 45, No. 4, 1012-1019 (2009). MSC: 93C20 78A25 PDF BibTeX XML Cite \textit{L. R. Suazo} and \textit{W. Liu}, Automatica 45, No. 4, 1012--1019 (2009; Zbl 1162.93024) Full Text: DOI OpenURL
Prokop’eva, L. A.; Shokin, Yu. I.; Lebedev, A. S.; Fedoruk, M. P. Parallel implementation of final volume method for solution of Maxwell equations on unstructured grids. (Russian. English summary) Zbl 1212.78032 Vychisl. Tekhnol. 12, Spec. Iss. 4, 59-69 (2007). MSC: 78M12 65Y05 PDF BibTeX XML Cite \textit{L. A. Prokop'eva} et al., Vychisl. Tekhnol. 12, 59--69 (2007; Zbl 1212.78032) OpenURL
Bourgeade, A.; Nkonga, B. Numerical modeling of laser pulse behavior in nonlinear crystal and application to the second harmonic generation. (English) Zbl 1236.78030 Multiscale Model. Simul. 4, No. 4, 1059-1090 (2005). MSC: 78M20 78A60 34E05 65M06 PDF BibTeX XML Cite \textit{A. Bourgeade} and \textit{B. Nkonga}, Multiscale Model. Simul. 4, No. 4, 1059--1090 (2005; Zbl 1236.78030) Full Text: DOI OpenURL
Itin, Yakov; Hehl, Friedrich W. Is the Lorentz signature of the metric of spacetime electromagnetic in origin? (English) Zbl 1055.83008 Ann. Phys. 312, No. 1, 60-83 (2004). Reviewer: Serguey M. Pokas (Odessa) MSC: 83C22 83C50 83A05 83E05 PDF BibTeX XML Cite \textit{Y. Itin} and \textit{F. W. Hehl}, Ann. Phys. 312, No. 1, 60--83 (2004; Zbl 1055.83008) Full Text: DOI arXiv OpenURL
Rubilar, Guillermo F.; Obukhov, Yuri N.; Hehl, Friedrich W. Torsion nonminimally coupled to the electromagnetic field and birefringence. (English) Zbl 1038.83027 Classical Quantum Gravity 20, No. 14, L185-L191 (2003). MSC: 83D05 83C22 83C50 PDF BibTeX XML Cite \textit{G. F. Rubilar} et al., Classical Quantum Gravity 20, No. 14, L185--L191 (2003; Zbl 1038.83027) Full Text: DOI arXiv OpenURL
Xin, Yu Dirac geometry of real spacetime. (English) Zbl 1017.83010 Gravit. Cosmol. 8, No. 3(31), 153-165 (2002). MSC: 83C22 83C60 PDF BibTeX XML Cite \textit{Y. Xin}, Gravit. Cosmol. 8, No. 3(31), 153--165 (2002; Zbl 1017.83010) OpenURL
Kunze, Markus Effective dynamics for the Maxwell-Lorentz system. (English) Zbl 0968.35117 Fiedler, B. (ed.) et al., International conference on differential equations. Proceedings of the conference, Equadiff ’99, Berlin, Germany, August 1-7, 1999. Vol. 1. Singapore: World Scientific. 109-111 (2000). MSC: 35Q75 37L10 83C50 PDF BibTeX XML Cite \textit{M. Kunze}, in: International conference on differential equations. Proceedings of the conference, Equadiff '99, Berlin, Germany, August 1--7, 1999. Vol. 1. Singapore: World Scientific. 109--111 (2000; Zbl 0968.35117) OpenURL
Ruf, Bernhard; Srikanth, P. N. The Lorentz-Dirac equation. I. (English) Zbl 0958.34070 Rev. Math. Phys. 12, No. 4, 657-686 (2000). MSC: 34L25 78A35 34A34 34C11 78A25 PDF BibTeX XML Cite \textit{B. Ruf} and \textit{P. N. Srikanth}, Rev. Math. Phys. 12, No. 4, 657--686 (2000; Zbl 0958.34070) Full Text: DOI OpenURL
Komech, Alexander; Spohn, Herbert; Imaikin, Valery Soliton-like asymptotics for the coupled Maxwell-Lorentz equations. (English) Zbl 0963.35183 Bermúdez, Alfredo (ed.) et al., Mathematical and numerical aspects of wave propagation. 5th international conference, Santiago de Compostela, Spain, July 10-14, 2000. Philadelphia, PA: SIAM, Society for Industrial and Applied Mathematics. 329-333 (2000). MSC: 35Q60 81V10 78A25 37K40 PDF BibTeX XML Cite \textit{A. Komech} et al., in: Mathematical and numerical aspects of wave propagation. 5th international conference, Santiago de Compostela, Spain, July 10--14, 2000. Philadelphia, PA: SIAM, Society for Industrial and Applied Mathematics; Rocquencourt: INRIA, Institut National de Recherche en Informatique et en Automatique. 329--333 (2000; Zbl 0963.35183) OpenURL
Kunze, M.; Spohn, H. Adiabatic limit for the Maxwell-Lorentz equations. (English) Zbl 0971.35076 Ann. Henri Poincaré 1, No. 4, 625-653 (2000). Reviewer: A.Jeffrey (Newcastle upon Tyne) MSC: 35Q60 78A35 35Q51 78A25 PDF BibTeX XML Cite \textit{M. Kunze} and \textit{H. Spohn}, Ann. Henri Poincaré 1, No. 4, 625--653 (2000; Zbl 0971.35076) Full Text: DOI OpenURL
Munz, C.-D.; Schneider, R.; Voss, U. A finite-volume method for the Maxwell equations in the time domain. (English) Zbl 1039.78012 SIAM J. Sci. Comput. 22, No. 2, 449-475 (2000). Reviewer: Ll. G. Chambers (Bangor) MSC: 78M20 78A35 65M06 78A50 65M99 PDF BibTeX XML Cite \textit{C. D. Munz} et al., SIAM J. Sci. Comput. 22, No. 2, 449--475 (2000; Zbl 1039.78012) Full Text: DOI OpenURL
Komech, Alexander; Spohn, Herbert Long-time asymptotics for the coupled Maxwell-Lorentz equations. (English) Zbl 0970.35149 Commun. Partial Differ. Equations 25, No. 3-4, 559-584 (2000). Reviewer: Dimitar A.Kolev (Sofia) MSC: 35Q60 35B40 PDF BibTeX XML Cite \textit{A. Komech} and \textit{H. Spohn}, Commun. Partial Differ. Equations 25, No. 3--4, 559--584 (2000; Zbl 0970.35149) Full Text: DOI OpenURL
Munz, Claus-Dieter; Schneider, Rudolf; Voss, Ursula A finite volume particle-in-cell method for the numerical simulation of devices in pulsed-power technology. (English) Zbl 0954.76056 Surv. Math. Ind. 8, No. 3-4, 243-257 (1999). MSC: 76M12 76X05 78M10 78A35 PDF BibTeX XML Cite \textit{C.-D. Munz} et al., Surv. Math. Ind. 8, No. 3--4, 243--257 (1999; Zbl 0954.76056) OpenURL
Munz, Claus-Dieter; Schneider, Rudolf; Sonnendrücker, Eric; Stein, Eckhardt; Voss, Ursula; Westermann, Thomas A finite-volume particle-in-cell method for the numerical treatment of Maxwell-Lorentz equations on boundary-fitted meshes. (English) Zbl 0941.78015 Int. J. Numer. Methods Eng. 44, No. 4, 461-487 (1999). MSC: 78M10 78A35 PDF BibTeX XML Cite \textit{C.-D. Munz} et al., Int. J. Numer. Methods Eng. 44, No. 4, 461--487 (1999; Zbl 0941.78015) Full Text: DOI OpenURL
Fedorovykh, A. M. Formulation of electrodynamics in terms of relativistic vector algebra. (Russian. English summary) Zbl 0894.15019 Vestsi Akad. Navuk Belarusi, Ser. Fiz.-Mat. Navuk 1997, No. 1, 75-79 (1997). Reviewer: V.Burjan (Praha) MSC: 15A75 35Q60 76X05 15A90 78A25 PDF BibTeX XML Cite \textit{A. M. Fedorovykh}, Vestsi Akad. Navuk Belarusi, Ser. Fiz.-Mat. Navuk 1997, No. 1, 75--79 (1997; Zbl 0894.15019) OpenURL
Bambusi, Dario; Noja, Diego On classical electrodynamics of point particles and mass renormalization: Some preliminary results. (English) Zbl 0862.35118 Lett. Math. Phys. 37, No. 4, 449-460 (1996). MSC: 35Q60 35Q75 81T15 83C50 PDF BibTeX XML Cite \textit{D. Bambusi} and \textit{D. Noja}, Lett. Math. Phys. 37, No. 4, 449--460 (1996; Zbl 0862.35118) Full Text: DOI OpenURL