Hesthaven, Jan S.; Pagliantini, Cecilia; Ripamonti, Nicolò Adaptive symplectic model order reduction of parametric particle-based Vlasov-Poisson equation. (English) Zbl 07810329 Math. Comput. 93, No. 347, 1153-1202 (2024). MSC: 65M60 65M06 65N30 65M75 65D05 65F55 65P10 82C40 78A35 78A25 78M34 76X05 82D10 35Q83 35Q60 PDFBibTeX XMLCite \textit{J. S. Hesthaven} et al., Math. Comput. 93, No. 347, 1153--1202 (2024; Zbl 07810329) Full Text: DOI arXiv
Finn, Daniel S.; Knepley, Matthew G.; Pusztay, Joseph V.; Adams, Mark F. A Numerical study of Landau damping with PETSc-PIC. (English) Zbl 07795552 Commun. Appl. Math. Comput. Sci. 18, No. 1, 135-152 (2023). MSC: 35Q83 35Q84 35Q61 65M60 65P10 65M75 65Y05 76M28 82D10 78A35 78A25 65Y05 65-04 68-04 PDFBibTeX XMLCite \textit{D. S. Finn} et al., Commun. Appl. Math. Comput. Sci. 18, No. 1, 135--152 (2023; Zbl 07795552) Full Text: DOI arXiv
Cao, Yunbai; Kim, Chanwoo Lipschitz continuous solutions of the Vlasov-Maxwell systems with a conductor boundary condition. (English) Zbl 07746824 Commun. Math. Phys. 403, No. 1, 529-625 (2023). MSC: 35Q83 35Q60 35Q20 35Q35 35Q75 82D10 85A30 86A25 83C10 78A25 76Y05 76X05 76W05 35B65 35D30 35A01 35A02 PDFBibTeX XMLCite \textit{Y. Cao} and \textit{C. Kim}, Commun. Math. Phys. 403, No. 1, 529--625 (2023; Zbl 07746824) Full Text: DOI arXiv
Wang, Xuecheng Remarks on the large data global solutions of \(3D\) RVP system and \(3D\) RVM system. (English) Zbl 1519.35329 Discrete Contin. Dyn. Syst. 43, No. 10, 3796-3829 (2023). MSC: 35Q83 35Q60 82D10 35F55 35N20 PDFBibTeX XMLCite \textit{X. Wang}, Discrete Contin. Dyn. Syst. 43, No. 10, 3796--3829 (2023; Zbl 1519.35329) Full Text: DOI arXiv
Yin, Tianai; Zhong, Xinghui; Wang, Yanli Highly efficient energy-conserving moment method for the multi-dimensional Vlasov-Maxwell system. (English) Zbl 07649283 J. Comput. Phys. 475, Article ID 111863, 33 p. (2023). MSC: 65Mxx 35Qxx 82Dxx PDFBibTeX XMLCite \textit{T. Yin} et al., J. Comput. Phys. 475, Article ID 111863, 33 p. (2023; Zbl 07649283) Full Text: DOI arXiv
Bobrovskiy, Vadim; Galvis, Juan; Kaplin, Alexey; Sinitsyn, Alexander; Tognoli, Marco; Trucco, Paolo Mathematical modelling of proton migration in Earth mantle. (English) Zbl 1511.35347 Math. Model. Nat. Phenom. 17, Paper No. 14, 24 p. (2022). MSC: 35Q83 35A18 35C07 35J61 35J66 35L71 35N30 65M60 PDFBibTeX XMLCite \textit{V. Bobrovskiy} et al., Math. Model. Nat. Phenom. 17, Paper No. 14, 24 p. (2022; Zbl 1511.35347) Full Text: DOI arXiv
Cao, Yunbai; Kim, Chanwoo Glassey-Strauss representation of Vlasov-Maxwell systems in a half space. (English) Zbl 1498.35526 Kinet. Relat. Models 15, No. 3, 385-401 (2022). MSC: 35Q61 35Q83 35Q70 PDFBibTeX XMLCite \textit{Y. Cao} and \textit{C. Kim}, Kinet. Relat. Models 15, No. 3, 385--401 (2022; Zbl 1498.35526) Full Text: DOI arXiv
Shiroto, Takashi; Matsuyama, Akinobu; Yagi, Masatoshi A charge-momentum-energy-conserving 1D3V hybrid Lagrangian-Eulerian method for Vlasov-Maxwell system. (English) Zbl 07592127 J. Comput. Phys. 469, Article ID 111522, 10 p. (2022). MSC: 65Mxx 82Dxx 82Cxx PDFBibTeX XMLCite \textit{T. Shiroto} et al., J. Comput. Phys. 469, Article ID 111522, 10 p. (2022; Zbl 07592127) Full Text: DOI
Lin, Zhiwu Linear instability of Vlasov-Maxwell systems revisited – a Hamiltonian approach. (English) Zbl 1491.35414 Kinet. Relat. Models 15, No. 4, 663-679 (2022). MSC: 35Q83 82C40 35B35 PDFBibTeX XMLCite \textit{Z. Lin}, Kinet. Relat. Models 15, No. 4, 663--679 (2022; Zbl 1491.35414) Full Text: DOI arXiv
Vedenyapin, V. V.; Parenkina, V. I.; Svirshchevskii, S. R. Derivation of the equations of electrodynamics and gravity from the principle of least action. (English. Russian original) Zbl 1500.83004 Comput. Math. Math. Phys. 62, No. 6, 983-995 (2022); translation from Zh. Vychisl. Mat. Mat. Fiz. 62, No. 6, 1016-1029 (2022). MSC: 83C22 35Q83 37J51 PDFBibTeX XMLCite \textit{V. V. Vedenyapin} et al., Comput. Math. Math. Phys. 62, No. 6, 983--995 (2022; Zbl 1500.83004); translation from Zh. Vychisl. Mat. Mat. Fiz. 62, No. 6, 1016--1029 (2022) Full Text: DOI
Kormann, Katharina; Sonnendrücker, Eric Energy-conserving time propagation for a structure-preserving particle-in-cell Vlasov-Maxwell solver. (English) Zbl 07508489 J. Comput. Phys. 425, Article ID 109890, 24 p. (2021). MSC: 82-XX 37-XX PDFBibTeX XMLCite \textit{K. Kormann} and \textit{E. Sonnendrücker}, J. Comput. Phys. 425, Article ID 109890, 24 p. (2021; Zbl 07508489) Full Text: DOI arXiv
Berezin, A. V.; Markov, M. B.; Parot’kin, S. V. On the particle method for electrons in an inhomogeneous scattering medium. (English. Russian original) Zbl 1478.78025 Comput. Math. Math. Phys. 61, No. 9, 1521-1531 (2021); translation from Zh. Vychisl. Mat. Mat. Fiz. 61, No. 9, 1545-1555 (2021). MSC: 78A45 78A35 65M75 78M99 82C40 82C22 35Q83 35Q61 35R09 PDFBibTeX XMLCite \textit{A. V. Berezin} et al., Comput. Math. Math. Phys. 61, No. 9, 1521--1531 (2021; Zbl 1478.78025); translation from Zh. Vychisl. Mat. Mat. Fiz. 61, No. 9, 1545--1555 (2021) Full Text: DOI
Perse, Benedikt; Kormann, Katharina; Sonnendrücker, Eric Geometric particle-in-cell simulations of the Vlasov-Maxwell system in curvilinear coordinates. (English) Zbl 1466.65142 SIAM J. Sci. Comput. 43, No. 1, B194-B218 (2021). MSC: 65M60 37K06 65P10 35Q83 35Q60 78M10 PDFBibTeX XMLCite \textit{B. Perse} et al., SIAM J. Sci. Comput. 43, No. 1, B194--B218 (2021; Zbl 1466.65142) Full Text: DOI arXiv
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 PDFBibTeX XMLCite \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 arXiv
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 PDFBibTeX XMLCite \textit{J. Bernier} et al., SIAM J. Sci. Comput. 42, No. 2, A666--A697 (2020; Zbl 1432.65133) Full Text: DOI
Tao, Zhanjing; Guo, Wei; Cheng, Yingda Sparse grid discontinuous Galerkin methods for the Vlasov-Maxwell system. (English) Zbl 07785509 J. Comput. Phys.: X 3, Article ID 100022, 31 p. (2019). MSC: 65Mxx 65Nxx 82Dxx PDFBibTeX XMLCite \textit{Z. Tao} et al., J. Comput. Phys.: X 3, Article ID 100022, 31 p. (2019; Zbl 07785509) Full Text: DOI arXiv
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 PDFBibTeX XMLCite \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 PDFBibTeX XMLCite \textit{D. Serre}, J. Math. Pures Appl. (9) 127, 67--88 (2019; Zbl 1417.37235) Full Text: DOI arXiv
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 PDFBibTeX XMLCite \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 PDFBibTeX XMLCite \textit{M. Asadzadeh} et al., Kinet. Relat. Models 12, No. 1, 105--131 (2019; Zbl 1410.65346) Full Text: DOI arXiv
Schaeffer, Jack On collisionless shocks in a cold plasma. (English) Zbl 1507.35289 J. Comput. Theor. Transp. 47, No. 1-3, 3-17 (2018). MSC: 35Q83 35L60 82C22 82D10 PDFBibTeX XMLCite \textit{J. Schaeffer}, J. Comput. Theor. Transp. 47, No. 1--3, 3--17 (2018; Zbl 1507.35289) Full Text: DOI
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 PDFBibTeX XMLCite \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 PDFBibTeX XMLCite \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 PDFBibTeX XMLCite \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 PDFBibTeX XMLCite \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 PDFBibTeX XMLCite \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 PDFBibTeX XMLCite \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 PDFBibTeX XMLCite \textit{F. Ma} and \textit{X. Ma}, Appl. Math. Comput. 265, 854--882 (2015; Zbl 1410.35242) Full Text: DOI
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 PDFBibTeX XMLCite \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 PDFBibTeX XMLCite \textit{J. Schaeffer}, SIAM J. Math. Anal. 46, No. 4, 2767--2797 (2014; Zbl 1310.35222) Full Text: DOI
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 PDFBibTeX XMLCite \textit{D. Han-Kwan}, Ann. Inst. Henri Poincaré, Anal. Non Linéaire 30, No. 6, 1127--1157 (2013; Zbl 1338.82055) Full Text: DOI arXiv
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 PDFBibTeX XMLCite \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 PDFBibTeX XMLCite \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 PDFBibTeX XMLCite \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 PDFBibTeX XMLCite \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 PDFBibTeX XMLCite \textit{F. Assous} and \textit{J. Chaskalovic}, Funct. Differ. Equ. 18, No. 1--2, 29--54 (2011; Zbl 1239.82012)
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 PDFBibTeX XMLCite \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 PDFBibTeX XMLCite \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 PDFBibTeX XMLCite \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 PDFBibTeX XMLCite \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 PDFBibTeX XMLCite \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 PDFBibTeX XMLCite \textit{M. Bostan}, J. Differ. Equations 227, No. 2, 444--498 (2006; Zbl 1107.35021) Full Text: DOI
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 PDFBibTeX XMLCite \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 PDFBibTeX XMLCite \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 PDFBibTeX XMLCite \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 PDFBibTeX XMLCite \textit{H. Andréasson}, Living Rev. Relativ. 5, Article No. 2002--7, 33 p. (2002; Zbl 1024.83008) Full Text: DOI Link
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 PDFBibTeX XMLCite \textit{R. T. Glassey} and \textit{J. Schaeffer}, Math. Methods Appl. Sci. 24, No. 3, 143--157 (2001; Zbl 0973.35186) Full Text: DOI
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 PDFBibTeX XMLCite \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 PDFBibTeX XMLCite \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
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 PDFBibTeX XMLCite \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 PDFBibTeX XMLCite \textit{D. J. McGillen}, Math. Methods Appl. Sci. 18, No. 9, 739--753 (1995; Zbl 0827.35131) Full Text: DOI
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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 PDFBibTeX XMLCite \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 PDFBibTeX XMLCite \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 PDFBibTeX XMLCite \textit{Y. Guo}, Commun. Math. Phys. 154, No. 2, 245--263 (1993; Zbl 0787.35072) Full Text: DOI
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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 PDFBibTeX 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 PDFBibTeX XMLCite \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 PDFBibTeX XMLCite \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 PDFBibTeX XMLCite \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 PDFBibTeX XMLCite \textit{D. D. Holm} et al., Phys. Rep. 123, No. 1--2, 1--116 (1985; Zbl 0717.76051) Full Text: DOI Link
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 PDFBibTeX XMLCite \textit{J. E. Marsden} et al., Trans. Am. Math. Soc. 281, 147--177 (1984; Zbl 0529.58011) Full Text: DOI
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 PDFBibTeX XMLCite \textit{A. J. Klimas} and \textit{J. Cooper}, Phys. Fluids 26, 478--479 (1983; Zbl 0509.76122) Full Text: DOI
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 PDFBibTeX XMLCite \textit{J. E. Marsden}, Can. Math. Bull. 25, 129--142 (1982; Zbl 0492.58015) Full Text: DOI