Elskens, Y.; Kiessling, M. K.-H. Microscopic foundations of kinetic plasma theory: the relativistic Vlasov-Maxwell equations and their radiation-reaction-corrected generalization. (English) Zbl 1448.82038 J. Stat. Phys. 180, No. 1-6, 749-772 (2020). MSC: 82D10 82C40 82C22 82C10 35Q83 35Q61 35Q20 81V70 83A05 83C22 83C50 PDF BibTeX XML Cite \textit{Y. Elskens} and \textit{M. K. H. Kiessling}, J. Stat. Phys. 180, No. 1--6, 749--772 (2020; Zbl 1448.82038) Full Text: DOI
Bernier, Joackim; Casas, Fernando; Crouseilles, Nicolas Splitting methods for rotations: application to Vlasov equations. (English) Zbl 1432.65133 SIAM J. Sci. Comput. 42, No. 2, A666-A697 (2020). MSC: 65M12 65N35 65P10 35C05 35Q83 35Q60 PDF BibTeX XML Cite \textit{J. Bernier} et al., SIAM J. Sci. Comput. 42, No. 2, A666--A697 (2020; Zbl 1432.65133) Full Text: DOI
Li, Yingzhe; He, Yang; Sun, Yajuan; Niesen, Jitse; Qin, Hong; Liu, Jian Solving the Vlasov-Maxwell equations using Hamiltonian splitting. (English) Zbl 1452.65394 J. Comput. Phys. 396, 381-399 (2019). MSC: 65P10 35Q83 35B06 76X05 PDF BibTeX XML Cite \textit{Y. Li} et al., J. Comput. Phys. 396, 381--399 (2019; Zbl 1452.65394) Full Text: DOI
Serre, Denis Compensated integrability. Applications to the Vlasov-Poisson equation and other models in mathematical physics. (English. French summary) Zbl 1417.37235 J. Math. Pures Appl. (9) 127, 67-88 (2019). MSC: 37K10 15A15 35J96 35Q35 35Q61 35Q83 76X05 78A02 PDF BibTeX XML Cite \textit{D. Serre}, J. Math. Pures Appl. (9) 127, 67--88 (2019; Zbl 1417.37235) Full Text: DOI
Ben-Artzi, Jonathan; Calogero, Simone; Pankavich, Stephen Concentrating solutions of the relativistic Vlasov-Maxwell system. (English) Zbl 1421.35367 Commun. Math. Sci. 17, No. 2, 377-392 (2019). MSC: 35Q83 35L60 82C22 82D10 35Q60 PDF BibTeX XML Cite \textit{J. Ben-Artzi} et al., Commun. Math. Sci. 17, No. 2, 377--392 (2019; Zbl 1421.35367) Full Text: DOI arXiv
Asadzadeh, Mohammad; Kowalczyk, Piotr; Standar, Christoffer On \(hp\)-streamline diffusion and Nitsche schemes for the relativistic Vlasov-Maxwell system. (English) Zbl 1410.65346 Kinet. Relat. Models 12, No. 1, 105-131 (2019). MSC: 65M12 65M15 65M60 35L50 35Q83 35Q61 65M06 PDF BibTeX XML Cite \textit{M. Asadzadeh} et al., Kinet. Relat. Models 12, No. 1, 105--131 (2019; Zbl 1410.65346) Full Text: DOI arXiv
Zhao, Huijiang Global wellposedness near Maxwellians for some kinetic equations in the perturbative framework. (English) Zbl 1407.82050 RIMS Kôkyûroku Bessatsu B67, 55-81 (2017). Reviewer: Vladimir Čadež (Beograd) MSC: 82C40 35Q83 35L50 35L04 35A09 82D10 35Q61 PDF BibTeX XML Cite \textit{H. Zhao}, RIMS Kôkyûroku Bessatsu B67, 55--81 (2017; Zbl 1407.82050)
Yang, He; Li, Fengyan Discontinuous Galerkin methods for relativistic Vlasov-Maxwell system. (English) Zbl 1382.78023 J. Sci. Comput. 73, No. 2-3, 1216-1248 (2017). MSC: 78M25 65M15 65M60 35Q83 35L50 35Q60 76X05 PDF BibTeX XML Cite \textit{H. Yang} and \textit{F. Li}, J. Sci. Comput. 73, No. 2--3, 1216--1248 (2017; Zbl 1382.78023) Full Text: DOI
Schaeffer, Jack On nearly homogeneous states in collisionless plasma. (English) Zbl 1373.35310 SIAM J. Math. Anal. 49, No. 3, 2269-2286 (2017). Reviewer: Iván Abonyi (Budapest) MSC: 35Q83 82C22 82D10 35Q61 PDF BibTeX XML Cite \textit{J. Schaeffer}, SIAM J. Math. Anal. 49, No. 3, 2269--2286 (2017; Zbl 1373.35310) Full Text: DOI
Glassey, Robert; Pankavich, Stephen; Schaeffer, Jack Separated characteristics and global solvability for the one and one-half dimensional Vlasov Maxwell system. (English) Zbl 1360.35281 Kinet. Relat. Models 9, No. 3, 455-467 (2016). MSC: 35Q83 35L60 82C21 82C22 82D10 76X05 35Q60 35A01 PDF BibTeX XML Cite \textit{R. Glassey} et al., Kinet. Relat. Models 9, No. 3, 455--467 (2016; Zbl 1360.35281) Full Text: DOI arXiv
Benn, James Fredholm properties of the \(L^2\) exponential map on the symplectomorphism group. (English) Zbl 1386.35318 J. Geom. Mech. 8, No. 1, 1-12 (2016). Reviewer: Jiang Xue (Beijing) MSC: 35Q05 35Q83 47H99 58C99 37K65 82D10 35Q60 PDF BibTeX XML Cite \textit{J. Benn}, J. Geom. Mech. 8, No. 1, 1--12 (2016; Zbl 1386.35318) Full Text: DOI
Schaeffer, Jack The Vlasov-Maxwell-Fokker-Planck system in two space dimensions. (English) Zbl 1336.35227 Math. Methods Appl. Sci. 39, No. 2, 302-316 (2016). MSC: 35L60 35Q83 82C22 82D10 35Q61 35Q84 PDF BibTeX XML Cite \textit{J. Schaeffer}, Math. Methods Appl. Sci. 39, No. 2, 302--316 (2016; Zbl 1336.35227) Full Text: DOI
Ma, Fanghua; Ma, Xuan Stability of the relativistic Vlasov-Maxwell-Boltzmann system for short range interaction. (English) Zbl 1410.35242 Appl. Math. Comput. 265, 854-882 (2015). MSC: 35Q83 35B35 35Q75 82C22 PDF BibTeX XML Cite \textit{F. Ma} and \textit{X. Ma}, Appl. Math. Comput. 265, 854--882 (2015; Zbl 1410.35242) Full Text: DOI
Lazarovici, Dustin Mean field limits for charged particles. (English) Zbl 1358.78004 München: Univ. München, Fakultät für Mathematik, Informatik und Statistik (Diss.). xi, 117 p. (2015). Reviewer: Vladimir Čadež (Beograd) MSC: 78-02 82C22 00A79 78A35 78A25 31B99 35Q83 35Q60 PDF BibTeX XML Cite \textit{D. Lazarovici}, Mean field limits for charged particles. München: Univ. München, Fakultät für Mathematik, Informatik und Statistik (Diss.) (2015; Zbl 1358.78004) Full Text: Link
Yang, He; Li, Fengyan Error estimates of Runge-Kutta discontinuous Galerkin methods for the Vlasov-Maxwell system. (English) Zbl 1315.78012 ESAIM, Math. Model. Numer. Anal. 49, No. 1, 69-99 (2015). MSC: 78M25 65M15 65M60 65M06 35Q83 35L50 35Q60 PDF BibTeX XML Cite \textit{H. Yang} and \textit{F. Li}, ESAIM, Math. Model. Numer. Anal. 49, No. 1, 69--99 (2015; Zbl 1315.78012) Full Text: DOI arXiv
Schaeffer, Jack A restriction on shocks in collisionless plasma. (English) Zbl 1310.35222 SIAM J. Math. Anal. 46, No. 4, 2767-2797 (2014). Reviewer: Eugene Postnikov (Kursk) MSC: 35Q60 35L60 35Q83 82C22 82D10 PDF BibTeX XML Cite \textit{J. Schaeffer}, SIAM J. Math. Anal. 46, No. 4, 2767--2797 (2014; Zbl 1310.35222) Full Text: DOI
Li, Tatsien; Qin, Tiehu Physics and partial differential equations. Volume II. Translated from the Chinese by Yachun Li. (English) Zbl 1329.35002 Other Titles in Applied Mathematics 137. Philadelphia, PA: Society for Industrial and Applied Mathematics (SIAM); Beijing: Higher Education Press (ISBN 978-1-611973-31-0/pbk). x, 271 p. (2014). Reviewer: Georg Hebermehl (Berlin) MSC: 35-01 35Qxx 00A69 00A06 00A79 74F05 76Nxx 74Bxx 82Dxx 83Cxx 81Q05 PDF BibTeX XML Cite \textit{T. Li} and \textit{T. Qin}, Physics and partial differential equations. Volume II. Translated from the Chinese by Yachun Li. Philadelphia, PA: Society for Industrial and Applied Mathematics (SIAM); Beijing: Higher Education Press (2014; Zbl 1329.35002)
Han-Kwan, Daniel On the three-dimensional finite Larmor radius approximation: the case of electrons in a fixed background of ions. (English) Zbl 1338.82055 Ann. Inst. Henri Poincaré, Anal. Non Linéaire 30, No. 6, 1127-1157 (2013). Reviewer: Oleg A. Sinkevich (Moskva) MSC: 82D10 35Q20 35Q31 35Q70 35Q83 35Q61 PDF BibTeX XML Cite \textit{D. Han-Kwan}, Ann. Inst. Henri Poincaré, Anal. Non Linéaire 30, No. 6, 1127--1157 (2013; Zbl 1338.82055) Full Text: DOI
Cheng, Chi Honn Dissipation of one-species VMB system with non-uniform ionic background. (English) Zbl 1287.82021 J. Differ. Equations 255, No. 11, 4096-4135 (2013). Reviewer: Dazmir Shulaia (Tbilisi) MSC: 82C40 78A35 35Q83 82C22 PDF BibTeX XML Cite \textit{C. H. Cheng}, J. Differ. Equations 255, No. 11, 4096--4135 (2013; Zbl 1287.82021) Full Text: DOI
Duan, Renjun; Liu, Shuangqian; Yang, Tong; Zhao, Huijiang Stability of the nonrelativistic Vlasov-Maxwell-Boltzmann system for angular non-cutoff potentials. (English) Zbl 1288.35476 Kinet. Relat. Models 6, No. 1, 159-204 (2013). Reviewer: Vladimir Čadež (Beograd) MSC: 35Q83 35Q61 35Q20 35B35 82D10 76P05 PDF BibTeX XML Cite \textit{R. Duan} et al., Kinet. Relat. Models 6, No. 1, 159--204 (2013; Zbl 1288.35476) Full Text: DOI
Wollman, Stephen Numerical approximation of the Vlasov-Maxwell-Fokker-Planck system in two dimensions. (English) Zbl 1251.82044 J. Comput. Phys. 231, No. 9, 3483-3517 (2012). Reviewer: Piotr Garbaczewski (Opole) MSC: 82C31 82D10 82-08 35Q35 35Q60 76X05 76W05 35Q83 35Q84 PDF BibTeX XML Cite \textit{S. Wollman}, J. Comput. Phys. 231, No. 9, 3483--3517 (2012; Zbl 1251.82044) Full Text: DOI
Golse, François The mean-field limit for a regularized Vlasov-Maxwell dynamics. (English) Zbl 1251.82037 Commun. Math. Phys. 310, No. 3, 789-816 (2012). Reviewer: Maria Christina Mariani (El Paso) MSC: 82C22 35Q83 35Q61 82D10 PDF BibTeX XML Cite \textit{F. Golse}, Commun. Math. Phys. 310, No. 3, 789--816 (2012; Zbl 1251.82037) Full Text: DOI arXiv
Assous, F.; Chaskalovic, J. Data mining methods for performance evaluation to asymptotic numerical models. (English) Zbl 1239.82012 Funct. Differ. Equ. 18, No. 1-2, 29-54 (2011). MSC: 82C21 35E05 35C20 91C20 62H30 65M06 65Y05 35Q61 35Q83 82-08 PDF BibTeX XML Cite \textit{F. Assous} and \textit{J. Chaskalovic}, Funct. Differ. Equ. 18, No. 1--2, 29--54 (2011; Zbl 1239.82012)
Vedenyapin, Victor; Sinitsyn, Alexander; Dulov, Eugene Kinetic Boltzmann, Vlasov and related equations. (English) Zbl 1230.35004 Elsevier Insights. Amsterdam: Elsevier (ISBN 978-0-12-387779-6/hbk). xiii, 304 p. (2011). Reviewer: Boris V. Loginov (Ul’yanovsk) MSC: 35-02 35Q20 58E07 58E09 35Q83 35B32 35Q76 PDF BibTeX XML Cite \textit{V. Vedenyapin} et al., Kinetic Boltzmann, Vlasov and related equations. Amsterdam: Elsevier (2011; Zbl 1230.35004)
Glassey, Robert; Pankavich, Stephen; Schaeffer, Jack Large time behavior of the relativistic Vlasov Maxwell system in low space dimension. (English) Zbl 1240.35549 Differ. Integral Equ. 23, No. 1-2, 61-77 (2010). MSC: 35Q75 35Q83 82C21 82C22 82D10 PDF BibTeX XML Cite \textit{R. Glassey} et al., Differ. Integral Equ. 23, No. 1--2, 61--77 (2010; Zbl 1240.35549) Full Text: arXiv
Besse, Nicolas; Latu, Guillaume; Ghizzo, Alain; Sonnendrücker, Eric; Bertrand, Pierre A wavelet-MRA-based adaptive semi-Lagrangian method for the relativistic Vlasov-Maxwell system. (English) Zbl 1194.83013 J. Comput. Phys. 227, No. 16, 7889-7916 (2008). MSC: 83C05 83C55 65M15 65P40 83-04 PDF BibTeX XML Cite \textit{N. Besse} et al., J. Comput. Phys. 227, No. 16, 7889--7916 (2008; Zbl 1194.83013) Full Text: DOI
Bostan, Mihai Weak solutions for the Vlasov-Poisson initial-boundary value problem with bounded electric field. (English) Zbl 1128.35031 Chin. Ann. Math., Ser. B 28, No. 4, 389-420 (2007). MSC: 35D05 35F30 35L40 35Q60 PDF BibTeX XML Cite \textit{M. Bostan}, Chin. Ann. Math., Ser. B 28, No. 4, 389--420 (2007; Zbl 1128.35031) Full Text: DOI
Calogero, Simone A mathematical theory of isolated systems in relativistic plasma physics. (English) Zbl 1127.35065 J. Hyperbolic Differ. Equ. 4, No. 2, 267-294 (2007). Reviewer: Alan Jeffrey (Newcastle upon Tyne) MSC: 35Q75 35L40 35B40 35C15 82D10 PDF BibTeX XML Cite \textit{S. Calogero}, J. Hyperbolic Differ. Equ. 4, No. 2, 267--294 (2007; Zbl 1127.35065) Full Text: DOI arXiv
Bauer, S.; Kunze, M.; Rein, G.; Rendall, A. D. Multipole radiation in a collisionless gas coupled to electromagnetism or scalar gravitation. (English) Zbl 1104.82044 Commun. Math. Phys. 266, No. 1, 267-288 (2006). MSC: 82C70 82C22 82D10 82C40 83D05 83C55 78A25 PDF BibTeX XML Cite \textit{S. Bauer} et al., Commun. Math. Phys. 266, No. 1, 267--288 (2006; Zbl 1104.82044) Full Text: DOI arXiv
Bostan, Mihai Asymptotic behavior of weak solutions for the relativistic Vlasov-Maxwell equations with large light speed. (English) Zbl 1107.35021 J. Differ. Equations 227, No. 2, 444-498 (2006). Reviewer: V. D. Sharma (Mumbai) MSC: 35B40 35F30 35L40 35Q60 35B10 PDF BibTeX XML Cite \textit{M. Bostan}, J. Differ. Equations 227, No. 2, 444--498 (2006; Zbl 1107.35021) Full Text: DOI
Qin, H. A short introduction to general gyrokinetic theory. (English) Zbl 1103.82013 Passot, Thierry (ed.) et al., Topics in kinetic theory. Lectures given at the short course and workshop on kinetic theory, Toronto, Canada, March 24–26, 2004. Providence, RI: American Mathematical Society (AMS) (ISBN 0-8218-3723-0/hbk). Fields Institute Communications 46, 171-192 (2005). Reviewer: Claudia-Veronika Meister (Potsdam) MSC: 82C05 82D10 37N10 76X05 PDF BibTeX XML Cite \textit{H. Qin}, Fields Inst. Commun. 46, 171--192 (2005; Zbl 1103.82013)
Brizard, Alain J. Variational formulations of exact and reduced Vlasov-Maxwell equations. (English) Zbl 1155.82331 Passot, Thierry (ed.) et al., Topics in kinetic theory. Lectures given at the short course and workshop on kinetic theory, Toronto, Canada, March 24–26, 2004. Providence, RI: American Mathematical Society (AMS) (ISBN 0-8218-3723-0/hbk). Fields Institute Communications 46, 151-170 (2005). MSC: 82D10 37N10 76X05 PDF BibTeX XML Cite \textit{A. J. Brizard}, Fields Inst. Commun. 46, 151--170 (2005; Zbl 1155.82331)
Elskens, Yves Irreversible behaviours in Vlasov equation and many-body Hamiltonian dynamics: Landau damping, chaos and granularity. (English) Zbl 1103.82012 Passot, Thierry (ed.) et al., Topics in kinetic theory. Lectures given at the short course and workshop on kinetic theory, Toronto, Canada, March 24–26, 2004. Providence, RI: American Mathematical Society (AMS) (ISBN 0-8218-3723-0/hbk). Fields Institute Communications 46, 89-108 (2005). Reviewer: Claudia-Veronika Meister (Potsdam) MSC: 82C05 82D10 37N10 37K05 76X05 PDF BibTeX XML Cite \textit{Y. Elskens}, Fields Inst. Commun. 46, 89--108 (2005; Zbl 1103.82012)
Glassey, Robert T. Collisionless plasmas and the Vlasov Maxwell system. (English) Zbl 1150.82023 Passot, Thierry (ed.) et al., Topics in kinetic theory. Lectures given at the short course and workshop on kinetic theory, Toronto, Canada, March 24–26, 2004. Providence, RI: American Mathematical Society (AMS) (ISBN 0-8218-3723-0/hbk). Fields Institute Communications 46, 77-88 (2005). Reviewer: Claudia-Veronika Meister (Potsdam) MSC: 82D10 35F20 35L60 82C21 82C22 PDF BibTeX XML Cite \textit{R. T. Glassey}, Fields Inst. Commun. 46, 77--88 (2005; Zbl 1150.82023)
Bostan, M. Boundary value problem for the three dimensional time periodic Vlasov-Maxwell system. (English) Zbl 1109.35109 Commun. Math. Sci. 3, No. 4, 621-663 (2005). Reviewer: Rainer Picard (Dresden) MSC: 35Q60 35L40 78A35 PDF BibTeX XML Cite \textit{M. Bostan}, Commun. Math. Sci. 3, No. 4, 621--663 (2005; Zbl 1109.35109) Full Text: DOI
Bostan, M. Existence and uniqueness of the mild solution for the 1D Vlasov–Poisson initial-boundary value problem. (English) Zbl 1099.35149 SIAM J. Math. Anal. 37, No. 1, 156-188 (2005). Reviewer: Alan Jeffrey (Newcastle upon Tyne) MSC: 35Q72 35L50 35D05 PDF BibTeX XML Cite \textit{M. Bostan}, SIAM J. Math. Anal. 37, No. 1, 156--188 (2005; Zbl 1099.35149) Full Text: DOI
Lee, Y. J.; Munz, C.-D.; Schneider, R. Lagrangian and symmetry structure of the divergence cleaning model based on generalized Lagrange multipliers. (English) Zbl 1083.70025 Int. J. Mod. Phys. C 15, No. 1, 59-114 (2004). MSC: 70S05 76W05 76X05 78A30 PDF BibTeX XML Cite \textit{Y. J. Lee} et al., Int. J. Mod. Phys. C 15, No. 1, 59--114 (2004; Zbl 1083.70025) Full Text: DOI
Andréasson, Håakan The Einstein-Vlasov system/kinetic theory. (English) Zbl 1024.83008 Living Rev. Relativ. 5, Article No. 2002-7, 33 p. (2002). MSC: 83C22 83C55 83-02 83C05 35Q75 PDF BibTeX XML Cite \textit{H. Andréasson}, Living Rev. Relativ. 5, Article No. 2002--7, 33 p. (2002; Zbl 1024.83008) Full Text: DOI Link
Brenier, Yann Volume preserving maps, Euler equations and Coulomb interaction. (English) Zbl 1031.35117 Grigoryan, A. (ed.) et al., XIIIth international congress on mathematical physics. Proceedings of the ICMP 2000, Imperial College, London, Great Britain, July 17-22, 2000. Boston, MA: International Press. 303-309 (2001). MSC: 35Q35 35Q60 76B03 82D10 37K65 78A35 PDF BibTeX XML Cite \textit{Y. Brenier}, in: XIIIth international congress on mathematical physics. Proceedings of the ICMP 2000, Imperial College, London, Great Britain, July 17--22, 2000. Boston, MA: International Press. 303--309 (2001; Zbl 1031.35117)
Glassey, Robert T.; Schaeffer, Jack On global symmetric solutions to the relativistic Vlasov-Poisson equation in three space dimensions. (English) Zbl 0973.35186 Math. Methods Appl. Sci. 24, No. 3, 143-157 (2001). MSC: 35Q75 35L60 85A05 82C21 82C22 82D10 PDF BibTeX XML Cite \textit{R. T. Glassey} and \textit{J. Schaeffer}, Math. Methods Appl. Sci. 24, No. 3, 143--157 (2001; Zbl 0973.35186) Full Text: DOI
Marsden, Jerrold E.; Ratiu, Tudor S. Introduction to mechanics and symmetry. A basic exposition of classical mechanical systems. 2nd ed. (English) Zbl 0933.70003 Texts in Applied Mathematics. 17. New York, NY: Springer. xviii, 582 p. (1999). MSC: 70-02 70Hxx 37N05 57R25 PDF BibTeX XML Cite \textit{J. E. Marsden} and \textit{T. S. Ratiu}, Introduction to mechanics and symmetry. A basic exposition of classical mechanical systems. 2nd ed. New York, NY: Springer (1999; Zbl 0933.70003)
Batt, Jürgen Nonlinear systems of partial differential equations arising in stellar dynamics and plasma physics: The Vlasov-Poisson- and the Vlasov-Maxwell system. (English) Zbl 0965.35135 Guo, Boling (ed.) et al., Nonlinear partial differential equations and applications. Proceedings of the international conference, Chongqing, China, May 26-31, 1997. Singapore: World Scientific. 8-19 (1998). MSC: 35Q35 76X05 82D10 85A05 PDF BibTeX XML Cite \textit{J. Batt}, in: Nonlinear partial differential equations and applications. Proceedings of the international conference, Chongqing, China, May 26--31, 1997. Singapore: World Scientific. 8--19 (1998; Zbl 0965.35135)
Zawistowski, Zygmunt Jacek On symmetries of integro-differential equations. (English) Zbl 0912.45007 Bull. Pol. Acad. Sci., Tech. Sci. 46, No. 2, 187-197 (1998). Reviewer: S.V.Rogozin (Minsk) MSC: 45J05 76X05 37C80 45G15 22E70 PDF BibTeX XML Cite \textit{Z. J. Zawistowski}, Bull. Pol. Acad. Sci., Tech. Sci. 46, No. 2, 187--197 (1998; Zbl 0912.45007)
Lewis, H. Ralph; Kostelec, Peter J. The use of Hamilton’s principle to derive time-advance algorithms for ordinary differential equations. (English) Zbl 0921.65048 Comput. Phys. Commun. 96, No. 2-3, 129-151 (1996). MSC: 65L05 37-XX 76X05 PDF BibTeX XML Cite \textit{H. R. Lewis} and \textit{P. J. Kostelec}, Comput. Phys. Commun. 96, No. 2--3, 129--151 (1996; Zbl 0921.65048) Full Text: DOI
Glassey, Robert T. The Cauchy problem in kinetic theory. (English) Zbl 0858.76001 Other Titles in Applied Mathematics. Philadelphia, PA: SIAM, Society for Industrial and Applied Mathematics. xii, 241 p. (1996). Reviewer: R.Illner (Victoria) MSC: 76-02 76P05 82C40 82C22 PDF BibTeX XML Cite \textit{R. T. Glassey}, The Cauchy problem in kinetic theory. Philadelphia, PA: SIAM (1996; Zbl 0858.76001)
Lewis, H. Ralph; Kostelec, Peter J. Time-advance algorithms based on Hamilton’s principle. (English) Zbl 0980.65510 Makhanov, V. G. (ed.) et al., Nonlinear evolution equations and dynamical systems. NEEDS ’94. Proceedings of the 10th international workshop, Los Alamos, NM, USA, September 11-18, 1994. Singapore: World Scientific. 365-379 (1995). MSC: 65L05 34A34 65M20 PDF BibTeX XML Cite \textit{H. R. Lewis} and \textit{P. J. Kostelec}, in: Nonlinear evolution equations and dynamical systems. NEEDS '94. Proceedings of the 10th international workshop, Los Alamos, NM, USA, September 11--18, 1994. Singapore: World Scientific. 365--379 (1995; Zbl 0980.65510)
Nouri, A.; Poupaud, F. Stationary solutions of boundary value problems for a Maxwell-Boltzmann system modelling degenerate semiconductors. (English) Zbl 0835.35142 SIAM J. Math. Anal. 26, No. 5, 1143-1156 (1995). MSC: 35Q60 78A35 35F30 76P05 PDF BibTeX XML Cite \textit{A. Nouri} and \textit{F. Poupaud}, SIAM J. Math. Anal. 26, No. 5, 1143--1156 (1995; Zbl 0835.35142) Full Text: DOI
McGillen, Donald J. A low velocity approximation for the relativistic Vlasov-Maxwell system. (English) Zbl 0827.35131 Math. Methods Appl. Sci. 18, No. 9, 739-753 (1995). MSC: 35Q75 35Q60 35L45 76X05 PDF BibTeX XML Cite \textit{D. J. McGillen}, Math. Methods Appl. Sci. 18, No. 9, 739--753 (1995; Zbl 0827.35131) Full Text: DOI
Lions, P. L. Compactness in Boltzmann’s equation via Fourier integral operators and applications. III. (English) Zbl 0884.35124 J. Math. Kyoto Univ. 34, No. 3, 539-584 (1994). Reviewer: R.Illner (Victoria) MSC: 35Q35 76P05 35S30 PDF BibTeX XML Cite \textit{P. L. Lions}, J. Math. Kyoto Univ. 34, No. 3, 539--584 (1994; Zbl 0884.35124) Full Text: DOI
Marsden, Jerrold E.; Ratiu, Tudor S. Introduction to mechanics and symmetry: a basic exposition of classical mechanical systems. (English) Zbl 0811.70002 Texts in Applied Mathematics. 17. New York, NY, Berlin: Springer-Verlag,. xiv, 500 p. (1994). Reviewer: H.Cendra (Bahia Blanca) MSC: 70-02 70Hxx 37J99 57R25 PDF BibTeX XML Cite \textit{J. E. Marsden} and \textit{T. S. Ratiu}, Introduction to mechanics and symmetry: a basic exposition of classical mechanical systems. New York, NY: Springer-Verlag (1994; Zbl 0811.70002)
Nouri, A. Paraxial approximation of the Vlasov-Maxwell system: Laminar beams. (English) Zbl 0803.35148 Math. Models Methods Appl. Sci. 4, No. 2, 203-221 (1994). MSC: 35Q60 78A35 35L40 PDF BibTeX XML Cite \textit{A. Nouri}, Math. Models Methods Appl. Sci. 4, No. 2, 203--221 (1994; Zbl 0803.35148) Full Text: DOI
Kovalev, V. F.; Krivenko, S. V.; Pustovalov, V. V. Group analysis of Vlasov’s kinetic equation. I. (English. Russian original) Zbl 0826.58044 Differ. Equations 29, No. 10, 1568-1578 (1993); translation from Differ. Uravn. 29, No. 10, 1804-1817 (1993). Reviewer: G.Rein (München) MSC: 58J70 82D10 PDF BibTeX XML Cite \textit{V. F. Kovalev} et al., Differ. Equations 29, No. 10, 1 (1993; Zbl 0826.58044); translation from Differ. Uravn. 29, No. 10, 1804--1817 (1993)
Guo, Yan Global weak solutions of the Vlasov-Maxwell system with boundary conditions. (English) Zbl 0787.35072 Commun. Math. Phys. 154, No. 2, 245-263 (1993). Reviewer: G.Rein (München) MSC: 35Q35 35L50 35D05 35Q60 76X05 PDF BibTeX XML Cite \textit{Y. Guo}, Commun. Math. Phys. 154, No. 2, 245--263 (1993; Zbl 0787.35072) Full Text: DOI
Lions, Pierre-Louis On kinetic equations. (English) Zbl 0806.35143 Proc. Int. Congr. Math., Kyoto/Japan 1990, Vol. II, 1173-1185 (1991). MSC: 35Q35 76P05 82C22 35Q60 PDF BibTeX XML Cite \textit{P.-L. Lions}, in: Proceedings of the international congress of mathematicians (ICM), August 21-29, 1990, Kyoto, Japan. Volume II. Tokyo etc.: Springer-Verlag. 1173--1185 (1991; Zbl 0806.35143)
DiPerna, R. J.; Lions, P. L.; Meyer, Y. \(L^ p\) regularity of velocity averages. (English) Zbl 0763.35014 Ann. Inst. Henri Poincaré, Anal. Non Linéaire 8, No. 3-4, 271-287 (1991). Reviewer: J.-P.Raymond (Toulouse) MSC: 35B65 35F05 35Q40 42B25 42B30 46E35 42B15 82B40 42B20 PDF BibTeX XML Cite \textit{R. J. DiPerna} et al., Ann. Inst. Henri Poincaré, Anal. Non Linéaire 8, No. 3--4, 271--287 (1991; Zbl 0763.35014) Full Text: DOI Numdam EuDML
Mkhitaryan, K. N. Classical solutions of equations of the Vlasov type. Existence. (Russian) Zbl 0712.35096 Prepr., Inst. Prikl. Mat. Im. M. V. Keldysha Akad. Nauk SSSR, Mosk. 26, 19 p. (1990). MSC: 35Q60 35B65 82B21 35Q99 PDF BibTeX XML
Rein, Gerhard A two-species plasma in the limit of large ion mass. (English) Zbl 0708.35091 Math. Methods Appl. Sci. 13, No. 2, 159-167 (1990). Reviewer: G.Rein MSC: 35Q99 82C22 35B30 PDF BibTeX XML Cite \textit{G. Rein}, Math. Methods Appl. Sci. 13, No. 2, 159--167 (1990; Zbl 0708.35091) Full Text: DOI
Glassey, Robert T.; Strauss, Walter A. Large velocities in the relativistic Vlasov-Maxwell equations. (English) Zbl 0713.35093 J. Fac. Sci., Univ. Tokyo, Sect. I A 36, No. 3, 615-627 (1989). Reviewer: Ch.Y.Chan MSC: 35Q60 35L45 82D10 PDF BibTeX XML Cite \textit{R. T. Glassey} and \textit{W. A. Strauss}, J. Fac. Sci., Univ. Tokyo, Sect. I A 36, No. 3, 615--627 (1989; Zbl 0713.35093)
Schwarz, Günter On electromagnetic fields in the Hamiltonian description of continua. (English) Zbl 0639.58039 Rep. Math. Phys. 24, No. 3, 293-304 (1986). MSC: 58Z05 37J99 78A25 PDF BibTeX XML Cite \textit{G. Schwarz}, Rep. Math. Phys. 24, No. 3, 293--304 (1986; Zbl 0639.58039) Full Text: DOI
Holm, D. D.; Marsden, J. E.; Ratiu, T.; Weinstein, A. Nonlinear stability of fluid and plasma equilibria. (English) Zbl 0717.76051 Phys. Rep. 123, No. 1-2, 1-116 (1985). MSC: 76E30 76E25 76A02 PDF BibTeX XML Cite \textit{D. D. Holm} et al., Phys. Rep. 123, No. 1--2, 1--116 (1985; Zbl 0717.76051) Full Text: DOI
Montgomery, Richard; Marsden, Jerrold; Ratiu, Tudor Gauged Lie-Poisson structures. (English) Zbl 0546.58026 Fluids and plasmas: geometry and dynamics, Proc. Conf., Boulder/Colo. 1983, Contemp. Math. 28, 101-114 (1984). Reviewer: D.J.R.Chillingworth MSC: 37J99 37C75 35G20 PDF BibTeX XML Full Text: DOI
Marsden, Jerrold E.; Ratiu, Tudor; Weinstein, Alan Semidirect products and reduction in mechanics. (English) Zbl 0529.58011 Trans. Am. Math. Soc. 281, 147-177 (1984). MSC: 37J99 22E70 70H05 PDF BibTeX XML Cite \textit{J. E. Marsden} et al., Trans. Am. Math. Soc. 281, 147--177 (1984; Zbl 0529.58011) Full Text: DOI
Marsden, J. E.; Weinstein, A.; Ratiu, T.; Schmid, R.; Spencer, R. G. Hamiltonian systems with symmetry, coadjoint orbits and plasma physics. (English) Zbl 0577.58013 Modern developments in analytical mechanics, Vol. I: Geometrical dynamics, Proc. IUTAM-ISIMM Symp., Torino/Italy 1982, 289-340 (1983). Reviewer: V.Perlick MSC: 37J99 22E65 76X05 58B25 58J99 22E70 76W05 PDF BibTeX XML
Klimas, Alexander J.; Cooper, Jeffery Vlasov-Maxwell and Vlasov-Poisson equations as models of a one- dimensional electron plasma. (English) Zbl 0509.76122 Phys. Fluids 26, 478-479 (1983). MSC: 76X05 82D10 35B10 PDF BibTeX XML Cite \textit{A. J. Klimas} and \textit{J. Cooper}, Phys. Fluids 26, 478--479 (1983; Zbl 0509.76122) Full Text: DOI
Blot, Joel Systemes hamiltoniens: leurs solutions périodiques. Avec la collaboration de Dominique Aze. (French) Zbl 0524.70018 Textes Mathematiques, Recherche, 5. Paris: Cedic/Fernand Nathan. III, 290 p. FF 158.00 (1982). MSC: 70H05 37J99 70-02 76X05 76B25 34C25 35Q99 PDF BibTeX XML
Marsden, Jerrold E. A group theoretic approach to the equations of plasma physics. (English) Zbl 0492.58015 Can. Math. Bull. 25, 129-142 (1982). MSC: 37J99 53D50 58D30 58D05 76Y05 70G99 PDF BibTeX XML Cite \textit{J. E. Marsden}, Can. Math. Bull. 25, 129--142 (1982; Zbl 0492.58015) Full Text: DOI