h) Hydrodynamic Model for Semiconductors (and Plasmas)



143 N. Ben Abdallah, H. Chaker: "The high field asymptotics for degenerate semiconductors",
Math. Models Methods Appl. Sci. 11(7), 1253--1272, 2001.
ps (0.2 MB)
zip (62 KB)
210 N. Ben Abdallah, H. Chaker: "The high field asymptotics for degenerate semiconductors: Initial and boundary layer analysis",
2001.
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zip (0.1 MB)
104 P. Amster, M.P. Beccar Varela, A. Jüngel, M.C. Mariani: "Subsonic solutions to one-dimensional non-isentropic hydrodynamic model for semiconductors",
J. Math. Anal. Appl., 58, 52-62, 2001.
ps (0.1 MB)
zip (56 KB)
195 A.M. Anile, S.D. Hern: "Two-Valley Hydrodynamical Models for Electron Transport in Gallium Arsenide: Simulation of Gunn Oscillations",
submitted to VLSI-Design, 2001.
ps (1.0 MB)
zip (0.3 MB)
136 A. Anile, M. Junk, V. Romano, G. Russo: "Cross-validation of numerical schemes for extended hydrodynamical models of semiconductors",
to appear in Mathematical Models and Methods in Applied Sciences, 2000.
ps (0.7 MB)
zip (0.2 MB)
268 A.M. Anile, G. Mascali: "Theoretical Foundation for Tail Electron Hydrodynamical Models in Semiconductors",
Appl.Math.Lett., 14, No. 2, 245-252, 2001.
ps (n/a)
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112 A.M. Anile, O. Muscato, V. Romano: "Moment equations with Maximum Entropy closure for carrier transport in semiconductor devices: validation in bulk silicon",
to appear in VLSI Design, 1999.
ps (0.8 MB)
zip (0.2 MB)
66 A. Anile, V. Romano: "Hydrodynamical Modeling of Charge Carrier Transport in Semiconductors" ,
Sumer school on Industrial Mathematics, IST Lisboa, Portugal, 1999.
ps (1.1 MB)
zip (0.2 MB)
44 A.M. Anile, V. Romano: "Non parabolic band transport in semiconductors: closure of the moment equations",
accepted for publication in Continuum Mechanics and Thermodynamics, 1999.
ps (0.7 MB)
zip (0.1 MB)
45 A.M. Anile, V. Romano, G. Russo: "Extended Hydrodynamical Model of Carrier Transport in Semiconductors",
submitted to SIAM J. on Applied Mathematics, 1999.
ps (0.8 MB)
zip (0.2 MB)
43 A. Arnold, J.A. Carrillo, I. Gamba, C.-W. Shu: "Low and High Field Scaling Limits for the Vlasov- and Wigner-Poisson-Fokker-Planck Systems",
Transp. Theory Stat. Phys., 30(2-3), 121-153, 2001.
ps (0.7 MB)
zip (0.2 MB)
113 A.M. Blokhin, A.S. Bushmanova, V. Romano: "Stability of the equilibrium state for a hydrodynamical model of charge transport in semiconductors",
accepted for publication in ZAMP, 1999.
ps (0.6 MB)
zip (0.1 MB)
205 C. Buet, S. Cordier, P.A. Raviart: "Multifluid ionization models",
to appear in M3AS, 2001.
ps (1.5 MB)
zip (0.8 MB)
151 I. Choquet, P. Degond, C. Schmeiser: "Hydrodynamic model for charge carriers involving strong ionization in semiconductors",
2000.
ps (0.2 MB)
zip (0.1 MB)
6 P. Degond: "Mathematical modelling of microelectronics semiconductor devices",
Proceedings of the Morningside Mathematical Center, Beijing,
AMS/IP Studies in Advanced Mathematics, AMS Society and International Press, 77-109, 2000.
ps (0.3 MB)
zip (0.1 MB)
167 P. Degond, M. Lemou: "On the viscosity and thermal conduction of fluids with multivalued internal energy",
European J. Mech. B/fluids, 20, 303-327, 2001.
ps (0.2 MB)
zip (0.1 MB)
246 P. Degond, M. Lemou, J.L. Lòpez: "Fluids with multivalued internal energy: The anisotropic case",
Submitted to IMA proceedings, University of Minesota (USA), 2001.
ps (0.2 MB)
zip (0.1 MB)
247 P. Degond, M. Lemou, M. Picasso: "Constitutive relations for viscoelastic models derived from kinetic theory",
Submitted to IMA proceedings, University of Minesota (USA), 2001.
ps (0.2 MB)
zip (0.1 MB)
62 P. Degond, J. López, P.F. Peyrard: "On the macroscopic dynamics induced by a model wave-particle collision operator",
Continuum Mechanics and Thermodynamics, 10:153--178, 1998.
ps (0.4 MB)
zip (0.1 MB)
8 P. Degond, A. Nouri, C. Schmeiser: "Macroscopic Models for Ionization in the Presence of Strong Electric Fields",
Transp. Th. and Stat. Phys., 29, pp. 551-561, 2000.
ps (0.4 MB)
zip (0.1 MB)
60 P. Degond, C. Schmeiser: "Macroscopic models for semiconductor heterostructures",
J. Math. Phys., 39:1--30, 1998.
ps (0.8 MB)
zip (0.2 MB)
145 F. Deluzet: "Mathematical Modeling of Plasma Opening Switches",
2000.
ps (n/a)
zip (2.7 MB)
139 C.R. Drago, A. Majorana: "The velocity overshoot in semiconductors according to a transport model derived from the Boltzmann Equation",
2000.
ps (0.7 MB)
zip (0.2 MB)
156 I. Gasser: "The Initial Time Layer Problem and the Quasineutral Limit in a Nonlinear Drift Diffusion Model for Semiconductors",
to appear in Nonlin. Diff. Eq. Appl., 1999.
ps (0.2 MB)
zip (0.1 MB)
150 I. Gasser, D. Levermore, P.A. Markowich, C. Schmeiser: "The Initial Time Layer Problem and the Quasineutral Limit in the Semiconductor Drift-Diffusion Model",
Eur. J. Appl. Math. 12, 497-512, 2001.
ps (0.2 MB)
zip (0.1 MB)
276 I. Gasser, P. Marcati: "A Vanishing Debye Length Limit in a Hydrodynamic Model for Semiconductors",
to appear in Proceedings der HYP 2000, Magdeburg, 2001.
ps (0.1 MB)
zip (0.1 MB)
275 I. Gasser, P. Marcati: "The Combined Relaxation and Vanishing Debye Length Limit in the Hydrodynamic Model for Semiconductors",
Math. Meth. in the Appl. Sci., Vol. 24(2), 81-92, 2001.
ps (n/a)
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47 T. Goudon, A. Jüngel, Y.-J. Peng: "Zero-mass-electrons limits in hydrodynamic models for plasmas",
Appl. Math. Lett. 12, 75-79, 1999.
ps (0.1 MB)
zip (48 KB)
3 Myo Thein Gyi, A. Jüngel: "A Quantum Regularization of the One-dimensional Hydrodynamic Model for Semiconductors",
Adv. Diff. Eqs., 5, 773-800, 2000.
ps (0.4 MB)
zip (0.1 MB)
184 S. Hern, A. Anile, N. Nikiforakis: "A Mesh Refinement Approach for Hydrodynamical Semiconductor Simulations",
submitted, 2000.
ps (0.5 MB)
zip (0.2 MB)
97 P.-E. Jabin: "Macroscopic limit of Vlasov type equations with friction",
1999.
ps (0.2 MB)
zip (0.1 MB)
303 P.-E. Jabin: "Various levels of models for aerosols",
to appear in a special issue of Math. Models Methods Appl. Sci., 2001.
ps (0.3 MB)
zip (0.1 MB)
96 P.-E. Jabin, B. Perthame: "Notes on mathematical problems on the dynamics of dispersed particles interacting through a fluid",
LMENS-98-48, 1999.
ps (0.9 MB)
zip (0.2 MB)
128 A. Jüngel: "Macroscopic Models for Semiconductor Devices: A Review",
2000.
ps (0.3 MB)
zip (0.1 MB)
168 A. Jüngel: "Quasi-hydrodynamic semiconductor equations.",
Progress in Nonlinear Differential Equations, Birkhäuser, 2001.
book n/a
for download
107 A. Jüngel, Yue-Jun Peng: "A Hierarchy of Hydrodynamic Models for Plasmas. Quasi-Neutral Limits in the Drift-Diffusion Equations",
to appear in Asympt. Anal., 2001.
ps (0.3 MB)
zip (0.1 MB)
106 A. Jüngel, Yue-Jun Peng: "Rigorous Derivation of a Hierarchy of Macroscopic Models for Semiconductors and Plasmas",
in: B. Fiedler, K. Gröger, and J. Sprekels, International Conference on Differential Equations, World Scientific, Singapore, 1325-1327, 2000.
ps (0.1 MB)
zip (52 KB)
7 A. Jüngel, Yue-Jun Peng: "Zero-Relaxation-Time Limits in the Hydrodynamic Equations for Plasmas Revisited",
Z. Angew. Math. Phys., 51, 385-396, 2000.
ps (0.2 MB)
zip (0.1 MB)
4 A. Jüngel, C. Pohl: "Numerical Simulation of Semiconductor Devices: Energy-transport and Quantum Hydrodynamic Modeling",
Proceedings of the Sixth International Workshop on Computational Electronics in Osaka, Japan, IEEE, 230-233, 1998.
ps (3.4 MB)
zip (0.7 MB)
191 A. Jüngel, S. Tang: "A Discrete BGK Approximation of Hydrodynamic Equations for Semiconductors",
2001.
ps (2.6 MB)
zip (0.5 MB)
236 H. Li, P.A. Markowich, M. Mei: "Asymptotic Behaviour of Solutions of the Hydrodynamic Model of Semiconductors",
to appear in Proc. of the Royal Society of Edinburgh, Section A, 2001.
ps (0.5 MB)
zip (0.1 MB)
153 S.F. Liotta, A. Majorana: "High Field Moboility and Diffusivity of an Electron Gas in Silicon Devices",
2000.
ps (0.5 MB)
zip (0.1 MB)
69 S.F. Liotta, H. Struchtrup: "Moment equations for electrons in semiconductors: comparison of spherical harmonics and full moments",
submitted to Solid-St. Electron., 1999.
ps (0.4 MB)
zip (0.1 MB)
266 A. Majorana, R.M. Pidatella: "A new finite difference scheme for the Boltzmann-Poisson system on semiconductor devices",
Proceedings of the ECMI 2000 Conference, to be published on su Book Series on Mathematics in Industry (ECMI Subseries), Springer-Verlag, 2001.
ps (1.6 MB)
zip (0.2 MB)
325 G. Mascali, V. Romano: "Hydrodynamical model of charge transport in GaAs based on the maximum entropy principle",
to appear in Cont. Mechan. and Thermodyn., 2002.
ps (0.5 MB)
zip (0.1 MB)
264 G. Mascali, M. Trovato: "An extended fluid-dynamical model describing electron transport in semiconductors",
Proceedings of the ECMI 2000 Conference, da pubblicarsi su Book Series on Mathematics in Industry (ECMI Subseries), Springer-Verlag, 2000.
ps (0.3 MB)
zip (0.1 MB)
273 0. Muscato: "Monte Carlo verification of an extended hydrodynamic model describing charge carrier transport in semiconductors",
to be published on Book Series on Mathematics in Industry (ECMI Subseries), Springer-Verlag, 2001.
ps (0.1 MB)
zip (50 KB)
120 O. Muscato: "Onsager relations and hydrodynamic transport in a submicron silicon diode",
to appear in Proceedings of WASCOM 99, Eolie Islands (Italy) 1999.
ps (0.4 MB)
zip (0.1 MB)
174 O. Muscato: "The Onsager Reciprocity Principle as a check of consistency for semiconductor carrier transport models",
accepted for pubblication in Physica A, 2000.
ps (0.5 MB)
zip (0.2 MB)
175 O. Muscato, V. Romano: "Simulation of submicron silicon diodes with a non-parabolic hydrodynamical model based on the maximum entropy principle",
accepted for publication in the Proceedings of the IWCE-7, Glasgow (UK), 2000.
ps (0.3 MB)
zip (0.1 MB)
115 V. Romano: "Maximum entropy principle for electron transport in semiconductors",
proceedings WASCOM 99, Eolie Islands (Italy), 1999.
ps (0.4 MB)
zip (0.1 MB)
132 V. Romano: "Non parabolic band hydrodynamical model of silicon semiconductors and simulation of electron devices",
2000.
ps (n/a MB)
zip (1.1 MB)
114 V. Romano: "Non parabolic band transport in semiconductors: closure of the production terms in the moment equations",
accepted for publication in Cont. Mech. Thermodyn., 1999.
ps (0.7 MB)
zip (0.2 MB)
311 V. Romano: "2D simulation of a silicon MESFET with a non-parabolic hydrodynamical model based on the maximum entropy principle",
to appear in J. Comp. Phys., 2001.
ps (8.0 MB)
zip (1.3 MB)
16 C. Schmeiser: "Macroscopic Models for Almost Elastic Nonlinear Electro-Phonon Interaction in Semiconductors",
SIAM J. Appl. Math. 60, 109-120, 1999.
ps (0.4 MB)
zip (0.1 MB)
37 H. Struchtrup: "The moment method for electrons in semiconductors",
submitted to Phys. Rev. B, 1999.
ps (0.8 MB)
zip (0.3 MB)