Bostan, Mihaï Asymptotic behavior for the Vlasov-Poisson equations with strong uniform magnetic field and general initial conditions. (English) Zbl 1441.35230 Kinet. Relat. Models 13, No. 3, 531-548 (2020). MSC: 35Q75 78A35 82D10 PDF BibTeX XML Cite \textit{M. Bostan}, Kinet. Relat. Models 13, No. 3, 531--548 (2020; Zbl 1441.35230) Full Text: DOI OpenURL
Bostan, Mihaï; Finot, Aurélie Finite Larmor radius regime: collisional setting and fluid models. (English) Zbl 1447.35327 Commun. Contemp. Math. 22, No. 6, Article ID 1950047, 29 p. (2020). Reviewer: Piotr Biler (Wrocław) MSC: 35Q84 35Q20 35Q31 78A35 PDF BibTeX XML Cite \textit{M. Bostan} and \textit{A. Finot}, Commun. Contemp. Math. 22, No. 6, Article ID 1950047, 29 p. (2020; Zbl 1447.35327) Full Text: DOI OpenURL
Bostan, Mihai Asymptotic behavior for the Vlasov-Poisson equations with strong external magnetic field. Straight magnetic field lines. (English) Zbl 1419.35188 SIAM J. Math. Anal. 51, No. 3, 2713-2747 (2019). MSC: 35Q75 78A35 82D10 PDF BibTeX XML Cite \textit{M. Bostan}, SIAM J. Math. Anal. 51, No. 3, 2713--2747 (2019; Zbl 1419.35188) Full Text: DOI OpenURL
Blanc, Thomas; Bostan, Mihai; Boyer, Franck Asymptotic analysis of parabolic equations with stiff transport terms by a multi-scale approach. (English) Zbl 1364.35361 Discrete Contin. Dyn. Syst. 37, No. 9, 4637-4676 (2017). MSC: 35Q75 78A35 PDF BibTeX XML Cite \textit{T. Blanc} et al., Discrete Contin. Dyn. Syst. 37, No. 9, 4637--4676 (2017; Zbl 1364.35361) Full Text: DOI arXiv OpenURL
Bostan, Mihaï; Finot, Aurélie The effective Vlasov-Poisson system for the finite Larmor radius regime. (English) Zbl 1356.35251 Multiscale Model. Simul. 14, No. 4, 1238-1275 (2016). MSC: 35Q83 35Q75 78A35 82D10 35B40 35Q60 PDF BibTeX XML Cite \textit{M. Bostan} and \textit{A. Finot}, Multiscale Model. Simul. 14, No. 4, 1238--1275 (2016; Zbl 1356.35251) Full Text: DOI OpenURL
Bostan, Mihai High magnetic field equilibria for the Fokker-Planck-Landau equation. (English) Zbl 1350.35187 Ann. Inst. Henri Poincaré, Anal. Non Linéaire 33, No. 4, 899-931 (2016). Reviewer: Thomas Ernst (Uppsala) MSC: 35Q75 78A35 82D10 PDF BibTeX XML Cite \textit{M. Bostan}, Ann. Inst. Henri Poincaré, Anal. Non Linéaire 33, No. 4, 899--931 (2016; Zbl 1350.35187) Full Text: DOI OpenURL
Bostan, Mihaï; Finot, Aurélie; Hauray, Maxime The effective Vlasov-Poisson system for strongly magnetized plasmas. (Le système de Vlasov-Poisson effectif pour LES plasmas fortement magnétisés.) (French. Abridged English version) Zbl 1348.78010 C. R., Math., Acad. Sci. Paris 354, No. 8, 771-777 (2016). Reviewer: Iván Abonyi (Budapest) MSC: 78A35 82D10 82C31 82D75 35B40 35Q83 35Q82 PDF BibTeX XML Cite \textit{M. Bostan} et al., C. R., Math., Acad. Sci. Paris 354, No. 8, 771--777 (2016; Zbl 1348.78010) Full Text: DOI arXiv OpenURL
Bostan, Mihai Multiscale analysis for linear first order PDEs. The finite Larmor radius regime. (English) Zbl 1351.35218 SIAM J. Math. Anal. 48, No. 3, 2133-2188 (2016). Reviewer: Dimitar A. Kolev (Sofia) MSC: 35Q75 78A35 82D10 82C31 35B40 PDF BibTeX XML Cite \textit{M. Bostan}, SIAM J. Math. Anal. 48, No. 3, 2133--2188 (2016; Zbl 1351.35218) Full Text: DOI OpenURL
Bostan, Mihai On the Boltzmann equation for charged particle beams under the effect of strong magnetic fields. (English) Zbl 1315.35138 Discrete Contin. Dyn. Syst., Ser. B 20, No. 2, 339-371 (2015). Reviewer: Ekaterina Balakina (Novosibirsk) MSC: 35Q20 76P05 82D10 78A35 35Q75 82C40 PDF BibTeX XML Cite \textit{M. Bostan}, Discrete Contin. Dyn. Syst., Ser. B 20, No. 2, 339--371 (2015; Zbl 1315.35138) Full Text: DOI OpenURL
Bostan, Mihai; Caldini-Queiros, Céline Finite Larmor radius approximation for collisional magnetic confinement. II: The Fokker-Planck-Landau equation. (English) Zbl 1298.35223 Q. Appl. Math. 72, No. 3, 513-548 (2014). MSC: 35Q75 78A35 82D10 82C31 35Q84 PDF BibTeX XML Cite \textit{M. Bostan} and \textit{C. Caldini-Queiros}, Q. Appl. Math. 72, No. 3, 513--548 (2014; Zbl 1298.35223) Full Text: DOI OpenURL
Bostan, Mihai; Caldini-Queiros, Céline Finite Larmor radius approximation for collisional magnetic confinement. I: The linear Boltzmann equation. (English) Zbl 1290.35268 Q. Appl. Math. 72, No. 2, 323-345 (2014). MSC: 35Q75 78A35 82D10 PDF BibTeX XML Cite \textit{M. Bostan} and \textit{C. Caldini-Queiros}, Q. Appl. Math. 72, No. 2, 323--345 (2014; Zbl 1290.35268) Full Text: DOI OpenURL
Bostan, Mihai Strongly anisotropic diffusion problems; asymptotic analysis. (English) Zbl 1288.35468 J. Differ. Equations 256, No. 3, 1043-1092 (2014). MSC: 35Q79 35Q75 78A35 35A15 PDF BibTeX XML Cite \textit{M. Bostan}, J. Differ. Equations 256, No. 3, 1043--1092 (2014; Zbl 1288.35468) Full Text: DOI arXiv OpenURL
Bostan, Mihai Transport of charged particles under fast oscillating magnetic fields. (English) Zbl 1256.35170 SIAM J. Math. Anal. 44, No. 3, 1415-1447 (2012). Reviewer: Stephen Wollman (New York) MSC: 35Q83 78A35 82D10 PDF BibTeX XML Cite \textit{M. Bostan}, SIAM J. Math. Anal. 44, No. 3, 1415--1447 (2012; Zbl 1256.35170) Full Text: DOI arXiv OpenURL
Bostan, Mihai Gyrokinetic models for strongly magnetized plasmas with general magnetic shape. (English) Zbl 1245.35129 Discrete Contin. Dyn. Syst., Ser. S 5, No. 2, 257-269 (2012). MSC: 35Q75 78A35 82D10 PDF BibTeX XML Cite \textit{M. Bostan}, Discrete Contin. Dyn. Syst., Ser. S 5, No. 2, 257--269 (2012; Zbl 1245.35129) Full Text: DOI OpenURL
Bostan, Mihai; Negulescu, Claudia Mathematical models for strongly magnetized plasmas with mass disparate particles. (English) Zbl 1222.35198 Discrete Contin. Dyn. Syst., Ser. B 15, No. 3, 513-544 (2011). Reviewer: Erich Miersemann (Leipzig) MSC: 35Q75 78A35 82D10 PDF BibTeX XML Cite \textit{M. Bostan} and \textit{C. Negulescu}, Discrete Contin. Dyn. Syst., Ser. B 15, No. 3, 513--544 (2011; Zbl 1222.35198) Full Text: DOI OpenURL
Bostan, Mihai; Gamba, Irene M.; Thierry; Vasseur, Alexis Boundary value problems for the stationary Vlasov-Boltzmann-Poisson equation. (English) Zbl 1236.82062 Indiana Univ. Math. J. 59, No. 5, 1629-1660 (2010). Reviewer: Iván Abonyi (Budapest) MSC: 82D10 78A35 35Q53 82B26 PDF BibTeX XML Cite \textit{M. Bostan} et al., Indiana Univ. Math. J. 59, No. 5, 1629--1660 (2010; Zbl 1236.82062) Full Text: DOI Link Link OpenURL
Bostan, Mihai Gyrokinetic Vlasov equation in three dimensional setting. Second order approximation. (English) Zbl 1220.35176 Multiscale Model. Simul. 8, No. 5, 1923-1957 (2010). Reviewer: Dimitar A. Kolev (Sofia) MSC: 35Q83 35Q75 78A35 82D10 83C50 PDF BibTeX XML Cite \textit{M. Bostan}, Multiscale Model. Simul. 8, No. 5, 1923--1957 (2010; Zbl 1220.35176) Full Text: DOI Link OpenURL
Bostan, Mihai Collisional models for strongly magnetized plasmas. The gyrokinetic Fokker-Planck equation. (English) Zbl 1210.35257 Libertas Math. 30, 99-117 (2010). MSC: 35Q75 78A35 82D10 83C50 PDF BibTeX XML Cite \textit{M. Bostan}, Libertas Math. 30, 99--117 (2010; Zbl 1210.35257) OpenURL
Bostan, Mihai; Gamba, Irene M.; Goudon, Thierry The linear Boltzmann equation with space periodic electric field. (English) Zbl 1208.35099 Arkhipova, Aina A. (ed.) et al., Nonlinear partial differential equations and related topics. Dedicated to Nina U. Uraltseva on the occasion of her 75th birthday. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-4997-2/hbk). Translations. Series 2. American Mathematical Society 229; Advances in the Mathematical Sciences 64, 51-66 (2010). MSC: 35Q20 35Q60 78A35 82D10 PDF BibTeX XML Cite \textit{M. Bostan} et al., Transl., Ser. 2, Am. Math. Soc. 229, 51--66 (2010; Zbl 1208.35099) OpenURL
Bostan, Mihai Transport equations with disparate advection fields. Application to the gyrokinetic models in plasma physics. (English) Zbl 1229.35298 J. Differ. Equations 249, No. 7, 1620-1663 (2010). Reviewer: Fridolin Ting (Thunder Bay) MSC: 35Q83 35Q75 78A35 82D10 PDF BibTeX XML Cite \textit{M. Bostan}, J. Differ. Equations 249, No. 7, 1620--1663 (2010; Zbl 1229.35298) Full Text: DOI OpenURL
Bostan, Mihai; Carrillo, José Antonio Global solutions for the one dimensional water-bag model. (English) Zbl 1178.35005 Commun. Math. Sci. 7, No. 1, 129-141 (2009). MSC: 35A01 78A35 82D10 35L65 35Q61 35Q83 PDF BibTeX XML Cite \textit{M. Bostan} and \textit{J. A. Carrillo}, Commun. Math. Sci. 7, No. 1, 129--141 (2009; Zbl 1178.35005) Full Text: DOI OpenURL
Bostan, Mihai The Vlasov-Poisson system with strong external magnetic field. Finite Larmor radius regime. (English) Zbl 1180.35501 Asymptotic Anal. 61, No. 2, 91-123 (2009). Reviewer: Ömer Kavaklioglu (Izmir) MSC: 35Q60 35C10 78A35 PDF BibTeX XML Cite \textit{M. Bostan}, Asymptotic Anal. 61, No. 2, 91--123 (2009; Zbl 1180.35501) Full Text: DOI OpenURL
Bostan, M. Finite speed propagation of the solutions for the relativistic Vlasov-Maxwell system. (English) Zbl 1152.35507 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 69, No. 12, 4365-4379 (2008). MSC: 35Q75 78A35 82D10 35B30 PDF BibTeX XML Cite \textit{M. Bostan}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 69, No. 12, 4365--4379 (2008; Zbl 1152.35507) Full Text: DOI OpenURL
Bostan, Mihai The Vlasov-Maxwell system with strong initial magnetic field: guiding-center approximation. (English) Zbl 1158.35428 Multiscale Model. Simul. 6, No. 3, 1026-1058 (2007). MSC: 35Q75 35B40 78A35 82D10 PDF BibTeX XML Cite \textit{M. Bostan}, Multiscale Model. Simul. 6, No. 3, 1026--1058 (2007; Zbl 1158.35428) Full Text: DOI OpenURL
Bostan, Mihai Stationary solutions of the 1-D Vlasov-Maxwell equations for laser-plasma interaction. (English) Zbl 1126.82042 Indiana Univ. Math. J. 56, No. 2, 581-613 (2007). Reviewer: Vladimir Čadež (Beograd) MSC: 82D10 35A05 82C40 83A05 78A60 PDF BibTeX XML Cite \textit{M. Bostan}, Indiana Univ. Math. J. 56, No. 2, 581--613 (2007; Zbl 1126.82042) Full Text: DOI Link OpenURL
Bostan, Mihai; Sonnendrücker, Eric Periodic solutions for nonlinear elliptic equations. Application to charged particle beam focusing systems. (English) Zbl 1133.78307 ESAIM, Math. Model. Numer. Anal. 40, No. 6, 1023-1052 (2006). MSC: 78A35 35J60 35A05 35B10 47J30 58E05 PDF BibTeX XML Cite \textit{M. Bostan} and \textit{E. Sonnendrücker}, ESAIM, Math. Model. Numer. Anal. 40, No. 6, 1023--1052 (2006; Zbl 1133.78307) Full Text: DOI Numdam EuDML OpenURL
Bostan, Mihai; Labrunie, Simon On the harmonic Boltzmannian waves in laser-plasma interaction. (English) Zbl 1103.35002 J. Phys. A, Math. Gen. 39, No. 37, 11697-11706 (2006). MSC: 35A05 35B35 82D10 78A60 35Q60 PDF BibTeX XML Cite \textit{M. Bostan} and \textit{S. Labrunie}, J. Phys. A, Math. Gen. 39, No. 37, 11697--11706 (2006; Zbl 1103.35002) Full Text: DOI arXiv OpenURL
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 OpenURL
Bostan, Mihai Numerical study by a controllability method for the calculation of the time-periodic solutions of the Maxwell and Vlasov-Maxwell systems. (English) Zbl 1041.78005 M2AN, Math. Model. Numer. Anal. 35, No. 1, 165-189 (2001). MSC: 78M25 35Q60 65M20 78A35 78A40 93B05 PDF BibTeX XML Cite \textit{M. Bostan}, M2AN, Math. Model. Numer. Anal. 35, No. 1, 165--189 (2001; Zbl 1041.78005) Full Text: DOI Numdam EuDML OpenURL