Bigorgne, Léo Sharp asymptotics for the solutions of the three-dimensional massless Vlasov-Maxwell system with small data. (English) Zbl 07303654 Ann. Henri Poincaré 22, No. 1, 219-273 (2021). MSC: 35Q61 35Q83 82D10 76X05 78A25 83A05 35B40 PDF BibTeX XML Cite \textit{L. Bigorgne}, Ann. Henri Poincaré 22, No. 1, 219--273 (2021; Zbl 07303654) Full Text: DOI
Weber, Jörg Confined steady states of the relativistic Vlasov-Maxwell system in an infinitely long cylinder. (English) Zbl 1453.35164 Kinet. Relat. Models 13, No. 6, 1135-1161 (2020). MSC: 35Q61 35Q83 82D10 PDF BibTeX XML Cite \textit{J. Weber}, Kinet. Relat. Models 13, No. 6, 1135--1161 (2020; Zbl 1453.35164) Full Text: DOI
Einkemmer, Lukas; Ostermann, Alexander; Piazzola, Chiara A low-rank projector-splitting integrator for the Vlasov-Maxwell equations with divergence correction. (English) Zbl 1453.65357 J. Comput. Phys. 403, Article ID 109063, 18 p. (2020). MSC: 65M70 35Q83 PDF BibTeX XML Cite \textit{L. Einkemmer} et al., J. Comput. Phys. 403, Article ID 109063, 18 p. (2020; Zbl 1453.65357) Full Text: DOI
Nguyen, Thanh-Nhan; Tran, Minh-Phuong An endpoint case of the renormalization property for the relativistic Vlasov-Maxwell system. (English) Zbl 07287155 J. Math. Phys. 61, No. 7, 071512, 10 p. (2020). MSC: 35Q60 35Q61 35Q83 35D30 81V80 82C28 82D10 76X05 76X05 PDF BibTeX XML Cite \textit{T.-N. Nguyen} and \textit{M.-P. Tran}, J. Math. Phys. 61, No. 7, 071512, 10 p. (2020; Zbl 07287155) Full Text: DOI
Vedenyapin, V. V.; Fimin, N. N.; Chechetkin, V. M. Properties of the Vlasov-Maxwell-Einstein equations and their application to the problems of general relativity. (English) Zbl 07284407 Gravit. Cosmol. 26, No. 2, 173-183 (2020). MSC: 83C22 83C55 35Q83 PDF BibTeX XML Cite \textit{V. V. Vedenyapin} et al., Gravit. Cosmol. 26, No. 2, 173--183 (2020; Zbl 07284407) Full Text: DOI
Heninger, Jeffrey M.; Morrison, P. J. Hamiltonian nature of monopole dynamics. (English) Zbl 1448.78025 Phys. Lett., A 384, No. 4, Article ID 126101, 5 p. (2020). MSC: 78A35 35Q83 78A25 78A30 82D10 PDF BibTeX XML Cite \textit{J. M. Heninger} and \textit{P. J. Morrison}, Phys. Lett., A 384, No. 4, Article ID 126101, 5 p. (2020; Zbl 1448.78025) Full Text: DOI
Chen, Li; Li, Xin; Pickl, Peter; Yin, Qitao Combined mean field limit and non-relativistic limit of Vlasov-Maxwell particle system to Vlasov-Poisson system. (English) Zbl 1452.82023 J. Math. Phys. 61, No. 6, 061903, 21 p. (2020). MSC: 82D10 78A25 35Q83 35Q60 81V70 PDF BibTeX XML Cite \textit{L. Chen} et al., J. Math. Phys. 61, No. 6, 061903, 21 p. (2020; Zbl 1452.82023) Full Text: DOI
Lei, Yuanjie; Zhao, Huijiang The Vlasov-Maxwell-Boltzmann system near Maxwellians with strong background magnetic field. (English) Zbl 1442.35290 Kinet. Relat. Models 13, No. 3, 599-621 (2020). MSC: 35Q20 82C31 76P05 83C40 PDF BibTeX XML Cite \textit{Y. Lei} and \textit{H. Zhao}, Kinet. Relat. Models 13, No. 3, 599--621 (2020; Zbl 1442.35290) Full Text: DOI
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
Sidorov, N. A.; Sidorov, D. N.; Sinitsyn, A. V. Book review of: N. A. Sidorov et al., Toward general theory of differential-operator and kinetic models. (Russian. English summary) Zbl 07238206 Izv. Irkutsk. Gos. Univ., Ser. Mat. 32, 118-123 (2020). MSC: 00A17 34-02 35-02 47-02 PDF BibTeX XML Cite \textit{N. A. Sidorov} et al., Izv. Irkutsk. Gos. Univ., Ser. Mat. 32, 118--123 (2020; Zbl 07238206) Full Text: DOI Link
Weber, Jörg Hot plasma in a container – an optimal control problem. (English) Zbl 1448.35499 SIAM J. Math. Anal. 52, No. 3, 2895-2929 (2020). Reviewer: Eric Stachura (Marietta) MSC: 35Q61 35Q83 49J20 82D10 82D75 PDF BibTeX XML Cite \textit{J. Weber}, SIAM J. Math. Anal. 52, No. 3, 2895--2929 (2020; Zbl 1448.35499) Full Text: DOI
Bigorgne, Léo Sharp asymptotic behavior of solutions of the \(3d\) Vlasov-Maxwell system with small data. (English) Zbl 1439.82045 Commun. Math. Phys. 376, No. 2, 893-992 (2020). MSC: 82D10 76X05 78A25 83A05 35B40 35Q83 35Q60 35Q76 PDF BibTeX XML Cite \textit{L. Bigorgne}, Commun. Math. Phys. 376, No. 2, 893--992 (2020; Zbl 1439.82045) Full Text: DOI
Liu, Shuangqian; Ma, Xuan The relativistic Vlasov-Maxwell-Fokker-Planck system in the whole space. (English) Zbl 1435.76102 Nonlinearity 33, No. 4, 1789-1811 (2020). MSC: 76X05 82D10 35B40 35Q84 PDF BibTeX XML Cite \textit{S. Liu} and \textit{X. Ma}, Nonlinearity 33, No. 4, 1789--1811 (2020; Zbl 1435.76102) Full Text: DOI
Cheverry, Christophe; Ibrahim, Slim The relativistic Vlasov-Maxwell equations for strongly magnetized plasmas. (English) Zbl 1439.35475 Commun. Math. Sci. 18, No. 1, 123-162 (2020). MSC: 35Q83 35Q61 82D10 82C40 76Y05 35B65 35B35 35A09 35A01 35A02 76X05 PDF BibTeX XML Cite \textit{C. Cheverry} and \textit{S. Ibrahim}, Commun. Math. Sci. 18, No. 1, 123--162 (2020; Zbl 1439.35475) 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
Bardos, Claude; Besse, Nicolas; Nguyen, Toan T. Onsager-type conjecture and renormalized solutions for the relativistic Vlasov-Maxwell system. (English) Zbl 1431.35189 Q. Appl. Math. 78, No. 2, 193-217 (2020). MSC: 35Q60 35Q61 35Q83 PDF BibTeX XML Cite \textit{C. Bardos} et al., Q. Appl. Math. 78, No. 2, 193--217 (2020; Zbl 1431.35189) 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
Stepin, S. A.; Tarasov, A. G. Stationary-phase method for Hankel transform of order zero. (English) Zbl 1447.82030 Russ. J. Math. Phys. 26, No. 4, 501-516 (2019). Reviewer: Vladimir Čadež (Beograd) MSC: 82D10 82C40 35A35 35Q75 35Q83 35Q60 78A40 83A05 44A15 PDF BibTeX XML Cite \textit{S. A. Stepin} and \textit{A. G. Tarasov}, Russ. J. Math. Phys. 26, No. 4, 501--516 (2019; Zbl 1447.82030) Full Text: DOI
Zhang, Katherine Zhiyuan Linear stability analysis of the relativistic Vlasov-Maxwell system in an axisymmetric domain. (English) Zbl 1427.82046 SIAM J. Math. Anal. 51, No. 6, 4683-4723 (2019). MSC: 82D10 35B35 35Q60 35Q83 35B07 PDF BibTeX XML Cite \textit{K. Z. Zhang}, SIAM J. Math. Anal. 51, No. 6, 4683--4723 (2019; Zbl 1427.82046) Full Text: DOI arXiv
Thaller, Maximilian Existence of static solutions of the Einstein-Vlasov-Maxwell system and the thin shell limit. (English) Zbl 1429.83006 SIAM J. Math. Anal. 51, No. 3, 2231-2260 (2019). Reviewer: Alex B. Gaina (Chisinau) MSC: 83C05 83C20 83C50 35Q83 76Y05 83C22 83C75 83C55 PDF BibTeX XML Cite \textit{M. Thaller}, SIAM J. Math. Anal. 51, No. 3, 2231--2260 (2019; Zbl 1429.83006) 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
Mingalev, O. V.; Mingalev, I. V.; Mel’nik, M. N.; Akhmetov, O. I.; Suvorova, Z. V. Reformulation of Vlasov-Maxwell system and a new method for its numerical solution. (Russian. English summary) Zbl 1441.78030 Mat. Model. 30, No. 10, 21-43 (2018). MSC: 78M20 65M06 65Y10 78A25 35Q61 35Q83 35Q35 76X05 PDF BibTeX XML Cite \textit{O. V. Mingalev} et al., Mat. Model. 30, No. 10, 21--43 (2018; Zbl 1441.78030) Full Text: MNR
Besse, Nicolas; Bechouche, Philippe Regularity of weak solutions for the relativistic Vlasov-Maxwell system. (English) Zbl 1428.35596 J. Hyperbolic Differ. Equ. 15, No. 4, 693-719 (2018). MSC: 35Q83 35Q61 35L05 35B65 35D30 PDF BibTeX XML Cite \textit{N. Besse} and \textit{P. Bechouche}, J. Hyperbolic Differ. Equ. 15, No. 4, 693--719 (2018; Zbl 1428.35596) Full Text: DOI
Huang, Yongting; Liu, Hongxia Stability of rarefaction wave for a macroscopic model derived from the Vlasov-Maxwell-Boltzmann system. (English) Zbl 1438.35407 Acta Math. Sci., Ser. B, Engl. Ed. 38, No. 3, 857-888 (2018). MSC: 35Q83 35B40 35Q20 35Q61 82D10 PDF BibTeX XML Cite \textit{Y. Huang} and \textit{H. Liu}, Acta Math. Sci., Ser. B, Engl. Ed. 38, No. 3, 857--888 (2018; Zbl 1438.35407) Full Text: DOI
Han-Kwan, Daniel; Nguyen, Toan T.; Rousset, Frédéric Long time estimates for the Vlasov-Maxwell system in the non-relativistic limit. (English) Zbl 1403.35297 Commun. Math. Phys. 363, No. 2, 389-434 (2018). MSC: 35Q83 35Q61 35B35 PDF BibTeX XML Cite \textit{D. Han-Kwan} et al., Commun. Math. Phys. 363, No. 2, 389--434 (2018; Zbl 1403.35297) Full Text: DOI
Cheverry, Christophe; Fontaine, Adrien Dispersion relations in hot magnetized plasmas. (English) Zbl 1397.82051 J. Math. Anal. Appl. 466, No. 2, 1238-1280 (2018). MSC: 82D10 35Q83 35Q61 82D75 35F21 83C50 78A60 PDF BibTeX XML Cite \textit{C. Cheverry} and \textit{A. Fontaine}, J. Math. Anal. Appl. 466, No. 2, 1238--1280 (2018; Zbl 1397.82051) Full Text: DOI
Kunze, Markus Higher regularity of the “tangential” fields in the relativistic Vlasov-Maxwell system. (English) Zbl 1392.35312 J. Differ. Equations 265, No. 6, 2778-2792 (2018). MSC: 35Q83 35Q61 78A25 35B65 83A05 76X05 PDF BibTeX XML Cite \textit{M. Kunze}, J. Differ. Equations 265, No. 6, 2778--2792 (2018; Zbl 1392.35312) Full Text: DOI arXiv
Filbet, Francis; Xiong, Tao; Sonnendrücker, Eric On the Vlasov-Maxwell system with a strong magnetic field. (English) Zbl 1387.78011 SIAM J. Appl. Math. 78, No. 2, 1030-1055 (2018). MSC: 78M20 65M20 35Q83 78A25 PDF BibTeX XML Cite \textit{F. Filbet} et al., SIAM J. Appl. Math. 78, No. 2, 1030--1055 (2018; Zbl 1387.78011) Full Text: DOI
Asadzadeh, Mohammad; Standar, Christoffer A posteriori error estimates for the one and one-half dimensional relativistic Vlasov-Maxwell system. (English) Zbl 1448.65149 BIT 58, No. 1, 5-26 (2018). MSC: 65M60 65M15 65M12 35Q83 35Q60 82D10 PDF BibTeX XML Cite \textit{M. Asadzadeh} and \textit{C. Standar}, BIT 58, No. 1, 5--26 (2018; Zbl 1448.65149) Full Text: DOI arXiv
Fan, Yingzhe; Lei, Yuanjie; Liu, Shuangqian; Zhao, Huijiang The non-cutoff Vlasov-Maxwell-Boltzmann system with weak angular singularity. (English) Zbl 1382.35007 Sci. China, Math. 61, No. 1, 111-136 (2018). MSC: 35A01 35Q83 PDF BibTeX XML Cite \textit{Y. Fan} et al., Sci. China, Math. 61, No. 1, 111--136 (2018; Zbl 1382.35007) Full Text: DOI
Juno, J.; Hakim, A.; TenBarge, J.; Shi, E.; Dorland, W. Discontinuous Galerkin algorithms for fully kinetic plasmas. (English) Zbl 1380.65273 J. Comput. Phys. 353, 110-147 (2018). MSC: 65M60 82D10 76X05 35B06 PDF BibTeX XML Cite \textit{J. Juno} et al., J. Comput. Phys. 353, 110--147 (2018; Zbl 1380.65273) Full Text: DOI
Patel, Neel Three new results on continuation criteria for the 3D relativistic Vlasov-Maxwell system. (English) Zbl 1386.35401 J. Differ. Equations 264, No. 3, 1841-1885 (2018). Reviewer: Jiang Xue (Beijing) MSC: 35Q83 35Q61 76Y05 PDF BibTeX XML Cite \textit{N. Patel}, J. Differ. Equations 264, No. 3, 1841--1885 (2018; Zbl 1386.35401) 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)
Li, Zengming; Huang, Lirong A proof of compact operator of the two species Vlasov-Maxwell-Boltzmann equations. (Chinese. English summary) Zbl 1399.35290 J. Math., Wuhan Univ. 37, No. 6, 1317-1327 (2017). MSC: 35Q20 35Q61 35Q83 PDF BibTeX XML Cite \textit{Z. Li} and \textit{L. Huang}, J. Math., Wuhan Univ. 37, No. 6, 1317--1327 (2017; Zbl 1399.35290) Full Text: DOI
Degond, P.; Deluzet, F.; Doyen, D. Asymptotic-preserving particle-in-cell methods for the Vlasov-Maxwell system in the quasi-neutral limit. (English) Zbl 1378.76091 J. Comput. Phys. 330, 467-492 (2017). MSC: 76M28 76X05 35Q83 35Q61 78M20 PDF BibTeX XML Cite \textit{P. Degond} et al., J. Comput. Phys. 330, 467--492 (2017; Zbl 1378.76091) Full Text: DOI
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
Ben-Artzi, Jonathan; Holding, Thomas Instabilities of the relativistic Vlasov-Maxwell system on unbounded domains. (English) Zbl 1379.35316 SIAM J. Math. Anal. 49, No. 5, 4024-4063 (2017). Reviewer: Eric Stachura (Haverford) MSC: 35Q83 35Q60 46N20 PDF BibTeX XML Cite \textit{J. Ben-Artzi} and \textit{T. Holding}, SIAM J. Math. Anal. 49, No. 5, 4024--4063 (2017; Zbl 1379.35316) Full Text: DOI arXiv
Vedenyapin, Victor V.; Negmatov, Malik-Bakhori A.; Fimin, Nikolai N. Vlasov-type and Liouville-type equations, their microscopic, energetic and hydrodynamical consequences. (English. Russian original) Zbl 1375.35557 Izv. Math. 81, No. 3, 505-541 (2017); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 81, No. 3, 45-82 (2017). MSC: 35Q83 35Q60 35Q35 76W05 78A25 PDF BibTeX XML Cite \textit{V. V. Vedenyapin} et al., Izv. Math. 81, No. 3, 505--541 (2017; Zbl 1375.35557); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 81, No. 3, 45--82 (2017) 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
Duan, Renjun; Lei, Yuanjie; Yang, Tong; Zhao, Huijiang The Vlasov-Maxwell-Boltzmann system near Maxwellians in the whole space with very soft potentials. (English) Zbl 1414.82027 Commun. Math. Phys. 351, No. 1, 95-153 (2017). Reviewer: Dominik Strzałka (Rzeszów) MSC: 82C40 35Q83 35Q61 35Q20 35L60 35A01 PDF BibTeX XML Cite \textit{R. Duan} et al., Commun. Math. Phys. 351, No. 1, 95--153 (2017; Zbl 1414.82027) Full Text: DOI arXiv
Cheverry, Christophe; Fontaine, Adrien Dispersion relations in cold magnetized plasmas. (English) Zbl 1356.35234 Kinet. Relat. Models 10, No. 2, 373-421 (2017). MSC: 35Q60 35Q83 82D10 35F21 78A40 35B40 PDF BibTeX XML Cite \textit{C. Cheverry} and \textit{A. Fontaine}, Kinet. Relat. Models 10, No. 2, 373--421 (2017; Zbl 1356.35234) Full Text: DOI
Crouseilles, Nicolas; Einkemmer, Lukas; Faou, Erwan An asymptotic preserving scheme for the relativistic Vlasov-Maxwell equations in the classical limit. (English) Zbl 1375.82107 Comput. Phys. Commun. 209, 13-26 (2016). MSC: 82D10 65Z05 35Q83 PDF BibTeX XML Cite \textit{N. Crouseilles} et al., Comput. Phys. Commun. 209, 13--26 (2016; Zbl 1375.82107) Full Text: DOI
Ginzburg, S. L.; Dyachenko, V. F.; Orlov, Yu. N.; Fimin, N. N.; Chechetkin, V. M. Simulation of collisionless ultrarelativistic electron-proton plasma dynamics in a self-consistent electromagnetic field. (English. Russian original) Zbl 1417.82027 Comput. Math. Math. Phys. 56, No. 9, 1611-1619 (2016); translation from Zh. Vychisl. Mat. Mat. Fiz. 56, No. 9, 1635-1644 (2016). MSC: 82D10 35Q83 35Q61 76X05 83A05 85A05 PDF BibTeX XML Cite \textit{S. L. Ginzburg} et al., Comput. Math. Math. Phys. 56, No. 9, 1611--1619 (2016; Zbl 1417.82027); translation from Zh. Vychisl. Mat. Mat. Fiz. 56, No. 9, 1635--1644 (2016) Full Text: DOI
Liu, Shuangqian; Xiao, Qinghua The relativistic Vlasov-Maxwell-Boltzmann system for short range interaction. (English) Zbl 1360.35132 Kinet. Relat. Models 9, No. 3, 515-550 (2016). MSC: 35Q20 83A05 35B40 35Q83 35Q61 35B35 PDF BibTeX XML Cite \textit{S. Liu} and \textit{Q. Xiao}, Kinet. Relat. Models 9, No. 3, 515--550 (2016; Zbl 1360.35132) 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
Han-Kwan, Daniel; Nguyen, Toan T. Nonlinear instability of Vlasov-Maxwell systems in the classical and quasineutral limits. (English) Zbl 1356.35253 SIAM J. Math. Anal. 48, No. 5, 3444-3466 (2016). Reviewer: Dimitar A. Kolev (Sofia) MSC: 35Q83 35B35 35Q60 35Q75 PDF BibTeX XML Cite \textit{D. Han-Kwan} and \textit{T. T. Nguyen}, SIAM J. Math. Anal. 48, No. 5, 3444--3466 (2016; Zbl 1356.35253) Full Text: DOI arXiv
Duan, Renjun Large-time behavior for fluid and kinetic plasmas with collisions. (English) Zbl 1341.35095 Bull. Braz. Math. Soc. (N.S.) 47, No. 1, 307-321 (2016). MSC: 35Q20 76P05 35B35 35B40 35Q61 35Q83 76X05 PDF BibTeX XML Cite \textit{R. Duan}, Bull. Braz. Math. Soc. (N.S.) 47, No. 1, 307--321 (2016; Zbl 1341.35095) Full Text: DOI
Luk, Jonathan; Strain, Robert M. Strichartz estimates and moment bounds for the relativistic Vlasov-Maxwell system. (English) Zbl 1337.35150 Arch. Ration. Mech. Anal. 219, No. 1, 445-552 (2016). Reviewer: Natalia Bondarenko (Saratov) MSC: 35Q83 35Q60 35B65 35B45 35Q75 PDF BibTeX XML Cite \textit{J. Luk} and \textit{R. M. Strain}, Arch. Ration. Mech. Anal. 219, No. 1, 445--552 (2016; Zbl 1337.35150) Full Text: DOI arXiv
Lei, Yuanjie; Zhao, Huijiang The Vlasov-Maxwell-Boltzmann system with a uniform ionic background near Maxwellians. (English) Zbl 1382.35303 J. Differ. Equations 260, No. 3, 2830-2897 (2016). MSC: 35Q83 35Q20 35Q61 35B45 35B40 82D10 PDF BibTeX XML Cite \textit{Y. Lei} and \textit{H. Zhao}, J. Differ. Equations 260, No. 3, 2830--2897 (2016; Zbl 1382.35303) Full Text: DOI
Huang, Yongting Spectrum structure and behavior of the Vlasov-Maxwell-Boltzmann system without angular cutoff. (English) Zbl 1326.35390 J. Differ. Equations 260, No. 3, 2611-2689 (2016). MSC: 35Q83 35Q20 35Q61 76P05 82C40 82D05 PDF BibTeX XML Cite \textit{Y. Huang}, J. Differ. Equations 260, No. 3, 2611--2689 (2016; Zbl 1326.35390) 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
Crouseilles, Nicolas; Einkemmer, Lukas; Faou, Erwan Hamiltonian splitting for the Vlasov-Maxwell equations. (English) Zbl 1351.35223 J. Comput. Phys. 283, 224-240 (2015). MSC: 35Q83 35Q60 PDF BibTeX XML Cite \textit{N. Crouseilles} et al., J. Comput. Phys. 283, 224--240 (2015; Zbl 1351.35223) Full Text: DOI arXiv
Delzanno, G. L. Multi-dimensional, fully-implicit, spectral method for the Vlasov-Maxwell equations with exact conservation laws in discrete form. (English) Zbl 1349.76568 J. Comput. Phys. 301, 338-356 (2015). MSC: 76M22 65M70 76X05 82C80 82D10 PDF BibTeX XML Cite \textit{G. L. Delzanno}, J. Comput. Phys. 301, 338--356 (2015; Zbl 1349.76568) Full Text: DOI
Qin, Hong; He, Yang; Zhang, Ruili; Liu, Jian; Xiao, Jianyuan; Wang, Yulei Comment on “Hamiltonian splitting for the Vlasov-Maxwell equations”. (English) Zbl 1349.35377 J. Comput. Phys. 297, 721-723 (2015). MSC: 35Q83 35Q60 PDF BibTeX XML Cite \textit{H. Qin} et al., J. Comput. Phys. 297, 721--723 (2015; Zbl 1349.35377) 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
Fan, Yingzhe; Lei, Yuanjie Global solutions and time decay of the non-cutoff Vlasov-Maxwell-Boltzmann system in the whole space. (English) Zbl 1337.35149 J. Stat. Phys. 161, No. 5, 1059-1097 (2015). Reviewer: Alain Brillard (Riedisheim) MSC: 35Q83 35B40 35Q20 35Q61 35A09 76W05 82C40 PDF BibTeX XML Cite \textit{Y. Fan} and \textit{Y. Lei}, J. Stat. Phys. 161, No. 5, 1059--1097 (2015; Zbl 1337.35149) Full Text: DOI
Wang, Yanjin The two-species Vlasov-Maxwell-Landau system in \(\mathbb{R}^3\). (English) Zbl 1342.82118 Ann. Inst. Henri Poincaré, Anal. Non Linéaire 32, No. 5, 1099-1123 (2015). Reviewer: Oleg A. Sinkevich (Moskva) MSC: 82C40 82D05 35B40 35Q83 35F10 PDF BibTeX XML Cite \textit{Y. Wang}, Ann. Inst. Henri Poincaré, Anal. Non Linéaire 32, No. 5, 1099--1123 (2015; Zbl 1342.82118) Full Text: DOI
Nguyen, Toan T.; Nguyen, Truyen V.; Strauss, Walter A. Erratum to: “Global magnetic confinement for the 1.5D Vlasov-Maxwell system”. (English) Zbl 1328.35234 Kinet. Relat. Models 8, No. 3, 615-616 (2015). MSC: 35Q60 35Q83 35Q61 35B65 PDF BibTeX XML Cite \textit{T. T. Nguyen} et al., Kinet. Relat. Models 8, No. 3, 615--616 (2015; Zbl 1328.35234) Full Text: DOI
Kunze, Markus Yet another criterion for global existence in the 3D relativistic Vlasov-Maxwell system. (English) Zbl 1326.35391 J. Differ. Equations 259, No. 9, 4413-4442 (2015). Reviewer: Eugene Postnikov (Kursk) MSC: 35Q83 35Q60 35Q75 82D10 PDF BibTeX XML Cite \textit{M. Kunze}, J. Differ. Equations 259, No. 9, 4413--4442 (2015; Zbl 1326.35391) Full Text: DOI arXiv
Cheverry, Christophe Can one hear whistler waves? (English) Zbl 1333.35290 Commun. Math. Phys. 338, No. 2, 641-703 (2015). Reviewer: Dimitar A. Kolev (Sofia) MSC: 35Q83 35Q60 82D10 PDF BibTeX XML Cite \textit{C. Cheverry}, Commun. Math. Phys. 338, No. 2, 641--703 (2015; Zbl 1333.35290) 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 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
Glass, Olivier; Han-Kwan, Daniel On the controllability of the relativistic Vlasov-Maxwell system. (English. French summary) Zbl 1347.35220 J. Math. Pures Appl. (9) 103, No. 3, 695-740 (2015). Reviewer: Agis Athanassoulis (Leicester) MSC: 35Q83 93B05 35Q61 PDF BibTeX XML Cite \textit{O. Glass} and \textit{D. Han-Kwan}, J. Math. Pures Appl. (9) 103, No. 3, 695--740 (2015; Zbl 1347.35220) Full Text: DOI
Nguyen, Toan T.; Nguyen, Truyen V.; Strauss, Walter A. Global magnetic confinement for the 1.5D Vlasov-Maxwell system. (English) Zbl 1304.35667 Kinet. Relat. Models 8, No. 1, 153-168 (2015); erratum ibid. 8, No. 3, 615-616 (2015). MSC: 35Q60 35Q83 35Q61 35B65 PDF BibTeX XML Cite \textit{T. T. Nguyen} et al., Kinet. Relat. Models 8, No. 1, 153--168 (2015; Zbl 1304.35667) Full Text: DOI arXiv
Saint-Raymond, Laure Deriving Ohm’s law from the Vlasov-Maxwell-Boltzmann system. (English) Zbl 1326.35392 Ancona, Vincenzo (ed.) et al., Trends in contemporary mathematics. Selected talks based on the presentations at the INdAM day, June 18, 2014. Cham: Springer (ISBN 978-3-319-05253-3/hbk; 978-3-319-05254-0/ebook). Springer INdAM Series 8, 249-262 (2014). MSC: 35Q83 35Q20 35Q61 82D10 78A35 76W05 PDF BibTeX XML Cite \textit{L. Saint-Raymond}, Springer INdAM Ser. 8, 249--262 (2014; Zbl 1326.35392) Full Text: DOI
Assous, F.; Chaskalovic, J. A paraxial asymptotic model for the coupled Vlasov-Maxwell problem in electromagnetics. (English) Zbl 1330.78004 J. Comput. Appl. Math. 270, 369-385 (2014). Reviewer: Teodora-Liliana Rădulescu (Craiova) MSC: 78A35 82D10 78M35 35Q83 35Q61 35C20 78A60 PDF BibTeX XML Cite \textit{F. Assous} and \textit{J. Chaskalovic}, J. Comput. Appl. Math. 270, 369--385 (2014; Zbl 1330.78004) Full Text: DOI
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
Lei, Yuanjie; Zhao, Huijiang Negative Sobolev spaces and the two-species Vlasov-Maxwell-Landau system in the whole space. (English) Zbl 1304.35694 J. Funct. Anal. 267, No. 10, 3710-3757 (2014). MSC: 35Q83 35Q61 35Q20 82D10 35A01 PDF BibTeX XML Cite \textit{Y. Lei} and \textit{H. Zhao}, J. Funct. Anal. 267, No. 10, 3710--3757 (2014; Zbl 1304.35694) Full Text: DOI arXiv
Luk, Jonathan; Strain, Robert M. A new continuation criterion for the relativistic Vlasov-Maxwell system. (English) Zbl 1309.35174 Commun. Math. Phys. 331, No. 3, 1005-1027 (2014). Reviewer: Laurent Thomann (Nantes) MSC: 35Q83 35Q61 PDF BibTeX XML Cite \textit{J. Luk} and \textit{R. M. Strain}, Commun. Math. Phys. 331, No. 3, 1005--1027 (2014; Zbl 1309.35174) Full Text: DOI arXiv
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)
Sidorov, Nikolaj Aleksandrovich Bifurcation points of nonlinear operators: existence theorems, asymptotics and application to the Vlasov-Maxwell system. (English) Zbl 1335.47040 Izv. Irkutsk. Gos. Univ., Ser. Mat. 6, No. 4, 85-106 (2013). Reviewer: Dorota Gabor (Toruń) MSC: 47J15 47N20 35Q60 PDF BibTeX XML Cite \textit{N. A. Sidorov}, Izv. Irkutsk. Gos. Univ., Ser. Mat. 6, No. 4, 85--106 (2013; Zbl 1335.47040)
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
Vedenyapin, V. V.; Negmatov, M. A. On the topology of steady-state solutions of hydrodynamic and vortex consequences of the Vlasov equation and the Hamilton-Jacobi method. (English. Russian original) Zbl 1272.82034 Dokl. Math. 87, No. 2, 240-244 (2013); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk, Vol. 449, No. 5, 521-526 (2013). MSC: 82D10 35Q83 PDF BibTeX XML Cite \textit{V. V. Vedenyapin} and \textit{M. A. Negmatov}, Dokl. Math. 87, No. 2, 240--244 (2013; Zbl 1272.82034); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk, Vol. 449, No. 5, 521--526 (2013) 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
Crestetto, Anaïs; Helluy, Philippe Resolution of the Vlasov-Maxwell system by PIC discontinuous Galerkin method on GPU with OpenCL. (English) Zbl 1337.78005 ESAIM, Proc. 38, 257-274 (2012). Reviewer: Teodora-Liliana Rădulescu (Craiova) MSC: 78A35 35Q60 35Q83 78M25 65M60 65M75 65Y10 PDF BibTeX XML Cite \textit{A. Crestetto} and \textit{P. Helluy}, ESAIM, Proc. 38, 257--274 (2012; Zbl 1337.78005) Full Text: DOI
Chen, Zili; Zhang, Xianwen Cometary flow equation with a self-consistent electromagnetic field. (English) Zbl 1279.85010 J. Math. Phys. 53, No. 5, 053301, 21 p. (2012). MSC: 85A30 76X05 76E20 78A25 35Q85 83C05 PDF BibTeX XML Cite \textit{Z. Chen} and \textit{X. Zhang}, J. Math. Phys. 53, No. 5, 053301, 21 p. (2012; Zbl 1279.85010) Full Text: DOI
Besse, Nicolas Global weak solutions for the relativistic waterbag continuum. (English) Zbl 1246.35063 Math. Models Methods Appl. Sci. 22, No. 1, 1150001, 43 p. (2012). MSC: 35D30 35D40 76X05 82D10 35Q83 35Q75 35Q61 PDF BibTeX XML Cite \textit{N. Besse}, Math. Models Methods Appl. Sci. 22, No. 1, 1150001, 43 p. (2012; Zbl 1246.35063) 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
Guo, Yan; Strain, Robert M. Momentum regularity and stability of the relativistic Vlasov-Maxwell-Boltzmann system. (English) Zbl 1245.35130 Commun. Math. Phys. 310, No. 3, 649-673 (2012). Reviewer: Stephen Wollman (New York) MSC: 35Q83 35Q20 35Q61 82D10 83A05 PDF BibTeX XML Cite \textit{Y. Guo} and \textit{R. M. Strain}, Commun. Math. Phys. 310, No. 3, 649--673 (2012; Zbl 1245.35130) Full Text: DOI arXiv
Belmont, Gérard; Chust, Thomas; Mottez, Fabrice; Hess, Sebastien Landau and non-Landau linear damping: physics of the dissipation. (English) Zbl 1257.82101 Transp. Theory Stat. Phys. 40, No. 6-7, 419-424 (2011). MSC: 82D10 35Q83 PDF BibTeX XML Cite \textit{G. Belmont} et al., Transp. Theory Stat. Phys. 40, No. 6--7, 419--424 (2011; Zbl 1257.82101) Full Text: DOI
Semenov, Edward Ivanovich; Sinitsyn, Alexander Vladimirovich On a family of steady-state distributions of the Vlasov-Maxwell-Fokker-Planck system. (Russian. English summary) Zbl 1269.35044 Izv. Irkutsk. Gos. Univ., Ser. Mat. 4, No. 3, 124-131 (2011). MSC: 35Q83 35Q82 35Q84 PDF BibTeX XML Cite \textit{E. I. Semenov} and \textit{A. V. Sinitsyn}, Izv. Irkutsk. Gos. Univ., Ser. Mat. 4, No. 3, 124--131 (2011; Zbl 1269.35044)
Duan, Renjun Dissipative property of the Vlasov-Maxwell-Boltzmann system with a uniform ionic background. (English) Zbl 1233.35152 SIAM J. Math. Anal. 43, No. 6, 2732-2757 (2011). MSC: 35Q20 35Q83 76X05 76P05 35B35 35B40 PDF BibTeX XML Cite \textit{R. Duan}, SIAM J. Math. Anal. 43, No. 6, 2732--2757 (2011; Zbl 1233.35152) 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)
Alcántara, José Antonio; Calogero, Simone On a relativistic Fokker-Planck equation in kinetic theory. (English) Zbl 1219.35312 Kinet. Relat. Models 4, No. 2, 401-426 (2011). MSC: 35Q75 35Q84 35Q74 PDF BibTeX XML Cite \textit{J. A. Alcántara} and \textit{S. Calogero}, Kinet. Relat. Models 4, No. 2, 401--426 (2011; Zbl 1219.35312) Full Text: DOI
Chae, Myeongju The global classical solution of the Vlasov-Maxwell-Fokker-Planck system near Maxwellian. (English) Zbl 1244.35146 Math. Models Methods Appl. Sci. 21, No. 5, 1007-1025 (2011). Reviewer: Sabine Jansen (Berlin) MSC: 35Q84 35Q61 35Q83 PDF BibTeX XML Cite \textit{M. Chae}, Math. Models Methods Appl. Sci. 21, No. 5, 1007--1025 (2011; Zbl 1244.35146) Full Text: DOI
Semenov, E. I.; Sinitsyn, A. V. New stationary distributions of the Vlasov-Maxwell-Fokker-Planck’s system. (English) Zbl 1238.82025 Phys. Lett., A 374, No. 41, 4222-4225 (2010). MSC: 82C31 35J60 82C05 35Q84 PDF BibTeX XML Cite \textit{E. I. Semenov} and \textit{A. V. Sinitsyn}, Phys. Lett., A 374, No. 41, 4222--4225 (2010; Zbl 1238.82025) Full Text: DOI
Krasovsky, V. L. Trapped particle effect on the velocity of circularly polarized electromagnetic waves in an isotropic plasma. (English) Zbl 1236.78014 Phys. Lett., A 374, No. 15-16, 1751-1754 (2010). MSC: 78A40 76X05 78A37 PDF BibTeX XML Cite \textit{V. L. Krasovsky}, Phys. Lett., A 374, No. 15--16, 1751--1754 (2010; Zbl 1236.78014) Full Text: DOI
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
Assous, Franck; Chaskalovic, Joel Data mining techniques for numerical approximations analysis: a test case of asymptotic solutions to the Vlasov-Maxwell equations. (English. Abridged French version) Zbl 1219.78012 C. R., Méc., Acad. Sci. Paris 338, No. 6, 305-310 (2010). MSC: 78A25 76W05 35Q83 35Q61 78M25 PDF BibTeX XML Cite \textit{F. Assous} and \textit{J. Chaskalovic}, C. R., Méc., Acad. Sci. Paris 338, No. 6, 305--310 (2010; Zbl 1219.78012) Full Text: DOI
Eliasson, Bengt Numerical simulations of the Fourier-transformed Vlasov-Maxwell system in higher dimensions – theory and applications. (English) Zbl 1219.82138 Transp. Theory Stat. Phys. 39, No. 5-7, 387-465 (2010). MSC: 82C40 35Q83 78A25 78A35 76X05 42A38 PDF BibTeX XML Cite \textit{B. Eliasson}, Transp. Theory Stat. Phys. 39, No. 5--7, 387--465 (2010; Zbl 1219.82138) Full Text: DOI
Wollman, Stephen A deterministic particle method for the Vlasov-Maxwell-Fokker-Planck system in two dimensions. (English) Zbl 1220.82091 Neural Parallel Sci. Comput. 18, No. 3-4, 461-469 (2010). MSC: 82C31 82D10 35Q83 65M06 65M25 82-08 PDF BibTeX XML Cite \textit{S. Wollman}, Neural Parallel Sci. Comput. 18, No. 3--4, 461--469 (2010; Zbl 1220.82091)
Sospedra-Alfonso, Reinel On the energy conservation by weak solutions of the relativistic Vlasov-Maxwell system. (English) Zbl 1206.35232 Commun. Math. Sci. 8, No. 4, 901-908 (2010). MSC: 35Q61 35Q83 PDF BibTeX XML Cite \textit{R. Sospedra-Alfonso}, Commun. Math. Sci. 8, No. 4, 901--908 (2010; Zbl 1206.35232) Full Text: DOI Euclid arXiv
Grigoriev, Yurii N.; Ibragimov, Nail H.; Kovalev, Vladimir F.; Meleshko, Sergey V. Symmetries of integro-differential equations. With applications in mechanics and plasma physics. (English) Zbl 1203.45006 Lecture Notes in Physics 806. Dordrecht: Springer (ISBN 978-90-481-3796-1/pbk; 978-90-481-3797-8/ebook). xiii, 305 p. (2010). Reviewer: Boris V. Loginov (Ul’yanovsk) MSC: 45J05 45-02 82D10 76M60 82B40 82B28 34C14 74D99 76P05 34K99 45R99 45G10 PDF BibTeX XML Cite \textit{Y. N. Grigoriev} et al., Symmetries of integro-differential equations. With applications in mechanics and plasma physics. Dordrecht: Springer (2010; Zbl 1203.45006) Full Text: DOI
Gerard, Patrick; Pallard, Christophe A mean-field toy model for resonant transport. (English) Zbl 1194.35462 Kinet. Relat. Models 3, No. 2, 299-309 (2010). MSC: 35Q83 35B40 82D10 35B44 35B30 PDF BibTeX XML Cite \textit{P. Gerard} and \textit{C. Pallard}, Kinet. Relat. Models 3, No. 2, 299--309 (2010; Zbl 1194.35462) Full Text: DOI
Burton, D. A.; Noble, A. Longitudinal wave-breaking limits in a unified geometric model of relativistic warm plasmas. (English) Zbl 1193.82044 J. Phys. A, Math. Theor. 43, No. 7, Article ID 075502, 19 p. (2010). Reviewer: Vladimir Čadež (Beograd) MSC: 82D10 83A05 82B40 PDF BibTeX XML Cite \textit{D. A. Burton} and \textit{A. Noble}, J. Phys. A, Math. Theor. 43, No. 7, Article ID 075502, 19 p. (2010; Zbl 1193.82044) Full Text: DOI
Lutman, Alberto A.; Vescovo, Roberto The Green’s function for a linear energy chirped seeded free electron laser. (English) Zbl 1182.78018 J. Phys. A, Math. Theor. 43, No. 1, Article ID 015403, 10 p. (2010). MSC: 78A60 44A10 PDF BibTeX XML Cite \textit{A. A. Lutman} and \textit{R. Vescovo}, J. Phys. A, Math. Theor. 43, No. 1, Article ID 015403, 10 p. (2010; Zbl 1182.78018) Full Text: DOI
Assous, Franck; Tsipis, Felix Numerical paraxial approximation for highly relativistic beams. (English) Zbl 1198.78012 Comput. Phys. Commun. 180, No. 7, 1086-1097 (2009). MSC: 78M25 78M30 PDF BibTeX XML Cite \textit{F. Assous} and \textit{F. Tsipis}, Comput. Phys. Commun. 180, No. 7, 1086--1097 (2009; Zbl 1198.78012) Full Text: DOI
Glassey, Robert; Pankavich, Stephen; Schaeffer, Jack On long-time behavior of monocharged and neutral plasma in one and one-half dimensions. (English) Zbl 1189.35026 Kinet. Relat. Models 2, No. 3, 465-488 (2009). MSC: 35B40 35L60 35Q60 82D10 35Q83 PDF BibTeX XML Cite \textit{R. Glassey} et al., Kinet. Relat. Models 2, No. 3, 465--488 (2009; Zbl 1189.35026) Full Text: DOI arXiv