Degond, Pierre; Filbet, Francis On the asymptotic limit of the three dimensional Vlasov-Poisson system for large magnetic field: formal derivation. (English) Zbl 1360.35280 J. Stat. Phys. 165, No. 4, 765-784 (2016). MSC: 35Q83 82D75 35B40 78A35 35Q60 82D10 PDF BibTeX XML Cite \textit{P. Degond} and \textit{F. Filbet}, J. Stat. Phys. 165, No. 4, 765--784 (2016; Zbl 1360.35280) Full Text: DOI arXiv OpenURL
Degond, P.; Deluzet, F.; Sangam, A.; Vignal, M.-H. An asymptotic preserving scheme for the Euler equations in a strong magnetic field. (English) Zbl 1396.76067 J. Comput. Phys. 228, No. 10, 3540-3558 (2009). MSC: 76M25 65M06 76W05 76X05 78A35 PDF BibTeX XML Cite \textit{P. Degond} et al., J. Comput. Phys. 228, No. 10, 3540--3558 (2009; Zbl 1396.76067) Full Text: DOI arXiv OpenURL
Baro, M.; Ben Abdallah, N.; Degond, P.; El Ayyadi, A. A 1D coupled Schrödinger drift-diffusion model including collisions. (English) Zbl 1067.82060 J. Comput. Phys. 203, No. 1, 129-153 (2005). MSC: 82D37 78A35 PDF BibTeX XML Cite \textit{M. Baro} et al., J. Comput. Phys. 203, No. 1, 129--153 (2005; Zbl 1067.82060) Full Text: DOI Link OpenURL
Besse, Christophe; Bidégaray-Fesquet, Brigitte; Bourgeade, Antoine; Degond, Pierre; Saut, Olivier A Maxwell-Bloch model with discrete symmetries for wave propagation in nonlinear crystals: an application to KDP. (English) Zbl 1081.81127 M2AN, Math. Model. Numer. Anal. 38, No. 2, 321-344 (2004). MSC: 81V80 78A60 PDF BibTeX XML Cite \textit{C. Besse} et al., M2AN, Math. Model. Numer. Anal. 38, No. 2, 321--344 (2004; Zbl 1081.81127) Full Text: DOI Numdam EuDML OpenURL
Degond, P.; Zhang, Kaijun A scattering matrix model of semiconductor superlattices in multidimensional wave-vector space and its diffusion limit. (English) Zbl 1040.35123 Chin. Ann. Math., Ser. B 24, No. 2, 167-190 (2003). MSC: 35Q60 82D55 82C70 76P05 78A35 PDF BibTeX XML Cite \textit{P. Degond} and \textit{K. Zhang}, Chin. Ann. Math., Ser. B 24, No. 2, 167--190 (2003; Zbl 1040.35123) Full Text: DOI OpenURL
Degond, Pierre; Zhang, Kaijun Diffusion approximation of a scattering matrix model of a semiconductor superlattice. (English) Zbl 1018.35073 SIAM J. Appl. Math. 63, No. 1, 279-298 (2002). MSC: 35Q60 76P05 82D55 78A35 PDF BibTeX XML Cite \textit{P. Degond} and \textit{K. Zhang}, SIAM J. Appl. Math. 63, No. 1, 279--298 (2002; Zbl 1018.35073) Full Text: DOI OpenURL
Ben Abdallah, N.; Degond, P.; Markowich, P.; Schmeiser, C. High field approximations of the spherical harmonics expansion model for semiconductors. (English) Zbl 1174.82345 Z. Angew. Math. Phys. 52, No. 2, 201-230 (2001). MSC: 82D37 82C70 33C90 78A35 PDF BibTeX XML Cite \textit{N. Ben Abdallah} et al., Z. Angew. Math. Phys. 52, No. 2, 201--230 (2001; Zbl 1174.82345) Full Text: DOI OpenURL
Degond, Pierre; Jüngel, Ansgar; Pietra, Paola Numerical discretization of energy-transport models for semiconductors with nonparabolic band structure. (English) Zbl 1049.82074 SIAM J. Sci. Comput. 22, No. 3, 986-1007 (2000). Reviewer: Vladimir Čadež (Bruxelles) MSC: 82D37 65C20 65N30 78A35 PDF BibTeX XML Cite \textit{P. Degond} et al., SIAM J. Sci. Comput. 22, No. 3, 986--1007 (2000; Zbl 1049.82074) Full Text: DOI OpenURL
Degond, Pierre Mathematical modelling of microelectronics semiconductor devices. (English) Zbl 0956.35121 Hsiao, Ling (ed.) et al., Some current topics on nonlinear conservation laws. Providence, RI: American Mathematical Society (AMS). AMS/IP Stud. Adv. Math. 15(1), 77-110 (2000). MSC: 35Q60 82D37 78A35 35L65 PDF BibTeX XML Cite \textit{P. Degond}, AMS/IP Stud. Adv. Math. 15, 77--110 (2000; Zbl 0956.35121) OpenURL
Ben Abdallah, Naoufel; Degond, Pierre; Méhats, Florian The Child-Langmuir asymptotics for magnetized flows. (English) Zbl 0934.35183 Asymptotic Anal. 20, No. 2, 97-132 (1999). MSC: 35Q60 76X05 78A35 78A55 PDF BibTeX XML Cite \textit{N. Ben Abdallah} et al., Asymptotic Anal. 20, No. 2, 97--132 (1999; Zbl 0934.35183) Full Text: Link OpenURL
Degond, Pierre; Schmeiser, Christian Kinetic boundary layers and fluid-kinetic coupling in semiconductors. (English) Zbl 0942.35162 Transp. Theory Stat. Phys. 28, No. 1, 31-55 (1999). MSC: 35Q60 78A35 76P05 82D37 PDF BibTeX XML Cite \textit{P. Degond} and \textit{C. Schmeiser}, Transp. Theory Stat. Phys. 28, No. 1, 31--55 (1999; Zbl 0942.35162) Full Text: DOI OpenURL
Degond, Pierre; Génieys, Stéphane; Jüngel, Ansgar A steady-state system in non-equilibrium thermodynamics including thermal and electrical effects. (English) Zbl 0935.35046 Math. Methods Appl. Sci. 21, No. 15, 1399-1413 (1998). Reviewer: R.Picard (Dresden) MSC: 35J60 80A20 78A35 PDF BibTeX XML Cite \textit{P. Degond} et al., Math. Methods Appl. Sci. 21, No. 15, 1399--1413 (1998; Zbl 0935.35046) Full Text: DOI OpenURL
Degond, P. A model of near-wall conductivity and its application to plasma thrusters. (English) Zbl 0924.76114 SIAM J. Appl. Math. 58, No. 4, 1138-1162 (1998). Reviewer: Vladimir Čadež (Gent) MSC: 76X05 78A55 82D10 82C70 PDF BibTeX XML Cite \textit{P. Degond}, SIAM J. Appl. Math. 58, No. 4, 1138--1162 (1998; Zbl 0924.76114) Full Text: DOI OpenURL
Degond, Pierre; Génieys, Stéphane; Jüngel, Ansgar A system of parabolic equations in nonequilibrium thermodynamics including thermal and electrical effects. (English) Zbl 0907.35059 J. Math. Pures Appl., IX. Sér. 76, No. 10, 991-1015 (1997). Reviewer: J.Naumann (Berlin) MSC: 35K50 78A35 65M20 35K55 35B40 PDF BibTeX XML Cite \textit{P. Degond} et al., J. Math. Pures Appl. (9) 76, No. 10, 991--1015 (1997; Zbl 0907.35059) Full Text: DOI OpenURL
Assous, F.; Degond, P.; Segré, J. A new scheme to treat the numerical Tcherenkov instability for electromagnetic particle simulations. (English) Zbl 0887.65124 J. Comput. Phys. 138, No. 1, 171-192 (1997). Reviewer: Ll.G.Chambers (Bangor) MSC: 65Z05 35Q60 65M60 78A40 82D10 65M12 PDF BibTeX XML Cite \textit{F. Assous} et al., J. Comput. Phys. 138, No. 1, 171--192 (1997; Zbl 0887.65124) Full Text: DOI OpenURL
Degond, P.; Qiu, Y. The Child-Langmuir asymptotics for semiconductors including phonon interactions. (English) Zbl 0886.65128 COMPEL 16, No. 3, 157-175 (1997). Reviewer: G.Jumarie (Montréal) MSC: 65Z05 35Q60 78A55 PDF BibTeX XML Cite \textit{P. Degond} and \textit{Y. Qiu}, COMPEL 16, No. 3, 157--175 (1997; Zbl 0886.65128) Full Text: DOI OpenURL
Ben Abdallah, Naoufel; Degond, Pierre; Markowich, Peter A. On a one-dimensional Schrödinger-Poisson scattering model. (English) Zbl 0885.34067 Z. Angew. Math. Phys. 48, No. 1, 135-155 (1997). Reviewer: Y.Kivshar (Canberra) MSC: 34L25 34L40 81U10 81Q05 78A35 PDF BibTeX XML Cite \textit{N. Ben Abdallah} et al., Z. Angew. Math. Phys. 48, No. 1, 135--155 (1997; Zbl 0885.34067) Full Text: DOI OpenURL
Ben Abdallah, N.; Degond, P. On a hierarchy of macroscopic models for semiconductors. (English) Zbl 0868.45006 J. Math. Phys. 37, No. 7, 3306-3333 (1996). Reviewer: D.M.Bors (Iaşi) MSC: 45K05 45M05 76P05 78A55 82C70 PDF BibTeX XML Cite \textit{N. Ben Abdallah} and \textit{P. Degond}, J. Math. Phys. 37, No. 7, 3306--3333 (1996; Zbl 0868.45006) Full Text: DOI OpenURL
Assous, F.; Degond, P.; Segré, J. Numerical approximation of the Maxwell equations in inhomogeneous media by a \(P^ 1\) conforming finite element method. (English) Zbl 0862.65077 J. Comput. Phys. 128, No. 2, 363-380 (1996). Reviewer: Laura-Iulia Aniţa (Iaşi) MSC: 65Z05 65N30 78A25 35Q60 PDF BibTeX XML Cite \textit{F. Assous} et al., J. Comput. Phys. 128, No. 2, 363--380 (1996; Zbl 0862.65077) Full Text: DOI OpenURL
Degond, P.; Poupaud, F.; Yamnahakki, A. Particle simulation and asymptotic analysis of kinetic equations for modeling a Schottky diode. (English) Zbl 0866.65096 RAIRO, Modélisation Math. Anal. Numér. 30, No. 6, 763-795 (1996). Reviewer: S.Mika (Plzeň) MSC: 65R20 45K05 78A35 PDF BibTeX XML Cite \textit{P. Degond} et al., RAIRO, Modélisation Math. Anal. Numér. 30, No. 6, 763--795 (1996; Zbl 0866.65096) Full Text: DOI EuDML OpenURL
Degond, P.; Poupaud, F.; Schmeiser, C.; Yamnahakki, A. Asymptotic analysis of kinetic equations for modeling a Schottky diode. (English) Zbl 0866.35119 Asymptotic Anal. 13, No. 1, 79-94 (1996). Reviewer: N.E.Ratanov (Chelyabinsk) MSC: 35Q60 78A35 PDF BibTeX XML Cite \textit{P. Degond} et al., Asymptotic Anal. 13, No. 1, 79--94 (1996; Zbl 0866.35119) OpenURL
Ben Abdallah, Naoufel; Degond, Pierre The Child-Langmuir law in the kinetic theory of charged particles: Semiconductors models. (English) Zbl 0888.35114 Marcati, P. (ed.) et al., Mathematical problems in semiconductor physics. Proceedings of a conference on the mathematical modeling of semiconductor structures, held in Rome, Italy, December 1993. Harlow: Longman. Pitman Res. Notes Math. Ser. 340, 76-102 (1995). Reviewer: Laura-Iulia Aniţa (Iaşi) MSC: 35Q60 78A35 PDF BibTeX XML Cite \textit{N. Ben Abdallah} and \textit{P. Degond}, in: Mathematical problems in semiconductor physics. Proceedings of a conference on the mathematical modeling of semiconductor structures, held in Rome, Italy, December 1993. Harlow: Longman. 76--102 (1995; Zbl 0888.35114) OpenURL
Ben Abdallah, Naoufel; Degond, Pierre The Child-Langmuir law for the Boltzmann equation of semiconductors. (English) Zbl 0828.35131 SIAM J. Math. Anal. 26, No. 2, 364-398 (1995). Reviewer: I.E.Tralle (Minsk) MSC: 35Q60 82D99 78A35 34A99 45J05 PDF BibTeX XML Cite \textit{N. Ben Abdallah} and \textit{P. Degond}, SIAM J. Math. Anal. 26, No. 2, 364--398 (1995; Zbl 0828.35131) Full Text: DOI OpenURL
Degond, Pierre The Child-Langmuir law in the kinetic theory of charged-particles. I: Electron flows in vacuum. (English) Zbl 0863.76091 Perthame, B. (ed.), Advances in kinetic theory and computing: selected papers. Singapore: World Scientific. Ser. Adv. Math. Appl. Sci. 22, 3-44 (1994). MSC: 76X05 78A35 82D10 PDF BibTeX XML Cite \textit{P. Degond}, Ser. Adv. Math. Appl. Sci. 22, 3--44 (1994; Zbl 0863.76091) OpenURL
Ben Abdallah, Naoufel; Degond, Pierre; Schmeiser, Christian On a mathematical model for hot carrier injection in semiconductors. (English) Zbl 0812.35137 Math. Methods Appl. Sci. 17, No. 15, 1193-1212 (1994). MSC: 35Q60 35B25 78A35 PDF BibTeX XML Cite \textit{N. Ben Abdallah} et al., Math. Methods Appl. Sci. 17, No. 15, 1193--1212 (1994; Zbl 0812.35137) Full Text: DOI OpenURL
Degond, Pierre; Markowich, Peter A. A steady state potential flow model for semiconductors. (English) Zbl 0808.35150 Ann. Mat. Pura Appl., IV. Ser. 165, 87-98 (1993). Reviewer: J.Naumann (Berlin) MSC: 35Q60 78A35 76G25 35Q35 PDF BibTeX XML Cite \textit{P. Degond} and \textit{P. A. Markowich}, Ann. Mat. Pura Appl. (4) 165, 87--98 (1993; Zbl 0808.35150) Full Text: DOI OpenURL
Assous, F.; Degond, P.; Heintze, E.; Raviart, P. A.; Segre, J. On a finite-element method for solving the three-dimensional Maxwell equations. (English) Zbl 0795.65087 J. Comput. Phys. 109, No. 2, 222-237 (1993). Reviewer: L.-I.Anita (Iaşi) MSC: 65Z05 65N30 35Q60 78A25 PDF BibTeX XML Cite \textit{F. Assous} et al., J. Comput. Phys. 109, No. 2, 222--237 (1993; Zbl 0795.65087) Full Text: DOI OpenURL
Degond, P.; Raviart, P. A. On the paraxial approximation of the stationary Vlasov-Maxwell system. (English) Zbl 0787.35110 Math. Models Methods Appl. Sci. 3, No. 4, 513-562 (1993). Reviewer: G.Jumarie (Montreal) MSC: 35Q60 35B20 35C10 78A25 PDF BibTeX XML Cite \textit{P. Degond} and \textit{P. A. Raviart}, Math. Models Methods Appl. Sci. 3, No. 4, 513--562 (1993; Zbl 0787.35110) Full Text: DOI OpenURL
Degond, Pierre; Raviart, Pierre-Arnaud An analysis of the Darwin model of approximation to Maxwell’s equations. (English) Zbl 0755.35137 Forum Math. 4, No. 1, 13-44 (1992). MSC: 35Q60 76X05 35J50 35J55 78A25 78A30 PDF BibTeX XML Cite \textit{P. Degond} and \textit{P.-A. Raviart}, Forum Math. 4, No. 1, 13--44 (1992; Zbl 0755.35137) Full Text: DOI EuDML OpenURL
Degond, P.; Delaurens, F.; Mustieles, F. J. Semiconductor modelling via the Boltzmann equation. (English) Zbl 0732.65123 Computing methods in applied sciences and engineering, Proc. 9th Int. Conf., Paris/Fr. 1990, 311-324 (1990). Reviewer: H.Brunner (St.John’s) MSC: 65R20 78A55 45K05 PDF BibTeX XML OpenURL
Degond, P.; Guyot-Delaurens, F. Particle simulations of the semiconductor Boltzmann equation for one- dimensional inhomogeneous structures. (English) Zbl 0731.65121 J. Comput. Phys. 90, No. 1, 65-97 (1990). Reviewer: H.Neunzert (Kaiserslautern) MSC: 65R10 65R20 45K05 78A55 PDF BibTeX XML Cite \textit{P. Degond} and \textit{F. Guyot-Delaurens}, J. Comput. Phys. 90, No. 1, 65--97 (1990; Zbl 0731.65121) Full Text: DOI OpenURL
Degond, P.; Delaurens, F.; Mustieles, F. J.; Nier, F. Particle simulation of bidimensional electron transport parallel to a heterojunction interface. (English) Zbl 0724.65133 COMPEL 9, No. 2, 109-116 (1990). MSC: 65R20 78A35 76X05 35Q60 45K05 82C40 PDF BibTeX XML Cite \textit{P. Degond} et al., COMPEL 9, No. 2, 109--116 (1990; Zbl 0724.65133) Full Text: DOI OpenURL
Degond, Pierre Solutions stationnaires explicites du système de Vlasov-Maxwell relativiste. (Explicit stationary solutions of the relativistic Vlasov- Maxwell system). (French) Zbl 0697.35145 C. R. Acad. Sci., Paris, Sér. I 310, No. 7, 607-612 (1990). MSC: 35Q99 35C05 78A35 PDF BibTeX XML Cite \textit{P. Degond}, C. R. Acad. Sci., Paris, Sér. I 310, No. 7, 607--612 (1990; Zbl 0697.35145) OpenURL
Degond, Pierre; Poupaud, Frédéric; Niclot, Bernard; Guyot, Frédérique Semiconductor modelling via the Boltzmann equation. (English) Zbl 0689.65078 Computational aspects of VLSI design with an emphasis on semiconductor device simulation, Proc. SIAM/AMS Summer Semin., Minnesota/MN (USA) 1987, Lect. Appl. Math. 25, 51-74 (1990). Reviewer: L.G.Chambers MSC: 65Z05 65C20 65M25 78A55 35Q99 PDF BibTeX XML OpenURL
Degond, P.; Niclot, B. Numerical analysis of the weighted particle method applied to the semiconductor Boltzmann equation. (English) Zbl 0672.65114 Numer. Math. 55, No. 5, 599-618 (1989). Reviewer: Ll.G.Chambers MSC: 65R20 76M99 78A55 45K05 PDF BibTeX XML Cite \textit{P. Degond} and \textit{B. Niclot}, Numer. Math. 55, No. 5, 599--618 (1989; Zbl 0672.65114) Full Text: DOI EuDML OpenURL