Publications
302 results found
Degond P, Jin S, 2005, A smooth transition model between kinetic and diffusion equations, SIAM JOURNAL ON NUMERICAL ANALYSIS, Vol: 42, Pages: 2671-2687, ISSN: 0036-1429
- Author Web Link
- Cite
- Citations: 42
Besse C, Claudel J, Degond P, et al., 2005, Instability of the ionospheric plasma: Modeling and analysis, SIAM JOURNAL ON APPLIED MATHEMATICS, Vol: 65, Pages: 2178-2198, ISSN: 0036-1399
- Author Web Link
- Cite
- Citations: 6
Besse C, Claudel J, Degond P, et al., 2005, Ionospheric plasmas: model derivation, stability analysis and numerical simulations, 8th CEMRACS 2003 Conference, Publisher: EUROPEAN MATHEMATICAL SOC, Pages: 101-129
- Author Web Link
- Cite
- Citations: 1
Crouseilles N, Degond P, Lemou M, 2004, A hybrid kinetic/fluid model for solving the gas dynamics Boltzmann-BGK equation, JOURNAL OF COMPUTATIONAL PHYSICS, Vol: 199, Pages: 776-808, ISSN: 0021-9991
- Author Web Link
- Cite
- Citations: 45
Bidégaray-Fesquet B, Castella F, Degond P, 2004, From Bloch model to the rate equations, DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, Vol: 11, Pages: 1-26, ISSN: 1078-0947
- Author Web Link
- Cite
- Citations: 9
Besse C, Bidégaray-Fesquet B, Bourgeade A, et al., 2004, A Maxwell-Bloch model with discrete symmetries for wave propagation in nonlinear crystals:: An application to KDP, ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE, Vol: 38, Pages: 321-344, ISSN: 0764-583X
- Author Web Link
- Cite
- Citations: 10
Besse C, Degond P, Deluzet F, 2004, A model hierarchy for ionospheric plasma modeling, MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES, Vol: 14, Pages: 393-415, ISSN: 0218-2025
- Author Web Link
- Cite
- Citations: 60
Crispel P, Degond P, Parzani C, et al., 2004, Three formulations of a quasi-neutral plasma model with non-vanishing current., COMPTES RENDUS MATHEMATIQUE, Vol: 338, Pages: 327-332, ISSN: 1631-073X
- Author Web Link
- Cite
- Citations: 4
Degond P, 2004, Macroscopic limits of the Boltzmann equation: a review, Modeling and Computational Methods for Kinetic Equations, Publisher: Birkhäuser Boston, Pages: 3-57, ISBN: 9781461264873
Degond P, Lemou M, López JL, 2004, Fluids with multivalued internal energy:: The anisotropic case, 1999-2000 IMA Workshop on Reactive Flow and Transport Phenomena, Publisher: SPRINGER, Pages: 121-136
Degond P, Parzani C, Vignal MH, 2004, On plasma expansion in vacuum, Conference on Free Boundary Problems, Publisher: BIRKHAUSER VERLAG AG, Pages: 103-112
- Author Web Link
- Cite
- Citations: 5
Degond P, Levermore CD, Schmeiser C, 2004, A note on the energy-transport limit of the semiconductor Boltzmann equation, 1999-2000 IMA Workshop on Reactive Flow and Transport Phenomena, Publisher: SPRINGER, Pages: 137-153
- Author Web Link
- Cite
- Citations: 8
Degond P, Lemou M, Picasso M, 2004, Constitutive relations for viscoleastic fluid models derived from kinetic theory, 3rd Workshop on Multiscale Models for Surface Evolution and Reacting Flows, Publisher: SPRINGER, Pages: 77-89
- Author Web Link
- Cite
- Citations: 1
Degond P, Parzani C, Vignal MH, 2003, A one-dimensional model of plasma expansion, MATHEMATICAL AND COMPUTER MODELLING, Vol: 38, Pages: 1093-1099, ISSN: 0895-7177
- Author Web Link
- Cite
- Citations: 12
Degond P, Lemou M, López JL, 2003, A kinetic description of anisotropic fluids with multivalued internal energy, EUROPEAN JOURNAL OF MECHANICS B-FLUIDS, Vol: 22, Pages: 487-509, ISSN: 0997-7546
- Author Web Link
- Cite
- Citations: 2
Degond P, Ringhofer C, 2003, Quantum moment hydrodynamics and the entropy principle, JOURNAL OF STATISTICAL PHYSICS, Vol: 112, Pages: 587-628, ISSN: 0022-4715
- Author Web Link
- Cite
- Citations: 155
Degond P, Ringhofer C, 2003, Binary quantum collision operators conserving mass momentum and energy, COMPTES RENDUS MATHEMATIQUE, Vol: 336, Pages: 785-790, ISSN: 1631-073X
- Author Web Link
- Cite
- Citations: 9
Degond P, Zhang KJ, 2003, A scattering matrix model of semiconductor superlattices in multidimensional wave-vector space and its diffusion limit, CHINESE ANNALS OF MATHEMATICS SERIES B, Vol: 24, Pages: 167-190, ISSN: 0252-9599
- Author Web Link
- Cite
- Citations: 3
Ben Abdallah N, Degond P, Mellet A, et al., 2003, Electron transport in semiconductor superlattices, QUARTERLY OF APPLIED MATHEMATICS, Vol: 61, Pages: 161-192, ISSN: 0033-569X
- Author Web Link
- Cite
- Citations: 8
Crouseilles N, Degond P, Lemou M, 2003, Hybrid kinetic/fluid models for nonequilibrium systems, COMPTES RENDUS MATHEMATIQUE, Vol: 336, Pages: 359-364, ISSN: 1631-073X
- Author Web Link
- Cite
- Citations: 4
Caceres MJ, Carrillo JA, Degond P, 2003, The Child-Langmuir limit for semiconductors: A numerical validation, ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE, Vol: 36, Pages: {1161-1176}-{1161-1176}, ISSN: 0764-583X
The Boltzmann Poisson system modeling the electron flow in semiconductors is used to discuss the validity of the Child-Langmuir asymptotics. The scattering kernel is approximated by a simple relaxation time operator. The Child-Langmuir limit gives an approximation of the current-voltage characteristic curves by means of a scaling procedure in which the ballistic velocity is much larger that the thermal one. We discuss the validity of the Child-Langmuir regime by performing detailed numerical comparisons between the simulation of the Boltzmann Poisson system and the Child-Langmuir equations in test problems.
Ben Abdallah NB, Degond P, Deluzet F, et al., 2003, Diffusion limits of kinetic models, 9th International Conference on Hyperbolic Problems, Publisher: SPRINGER-VERLAG BERLIN, Pages: 3-17
- Author Web Link
- Cite
- Citations: 2
Degond P, Parzani C, Vignal MH, 2003, Plasma expansion in vacuum: Modeling the breakdown of quasi neutrality, MULTISCALE MODELING & SIMULATION, Vol: 2, Pages: 158-178, ISSN: 1540-3459
- Author Web Link
- Cite
- Citations: 15
Choquet I, Degond P, Schmeiser C, 2003, Energy-transport models for charge carriers involving impact ionization in semiconductors, TRANSPORT THEORY AND STATISTICAL PHYSICS, Vol: 32, Pages: 99-132, ISSN: 0041-1450
- Author Web Link
- Cite
- Citations: 11
Aoki K, Degond P, 2003, Homogenization of a flow in a periodic channel of small section, MULTISCALE MODELING & SIMULATION, Vol: 1, Pages: 304-334, ISSN: 1540-3459
- Author Web Link
- Cite
- Citations: 19
Degond P, Ringhofer C, 2002, A Note on quantum moment hydrodynamics and the entropy principle, COMPTES RENDUS MATHEMATIQUE, Vol: 335, Pages: 967-972, ISSN: 1631-073X
- Author Web Link
- Cite
- Citations: 8
Degond P, Zhang KJ, 2002, Diffusion approximation of a scattering matrix model of a semiconductor superlattice, SIAM JOURNAL ON APPLIED MATHEMATICS, Vol: 63, Pages: 279-298, ISSN: 0036-1399
- Author Web Link
- Cite
- Citations: 9
Degond P, El Ayyadi A, 2002, A coupled Schrodinger drift-diffusion model for quantum semiconductor device simulations, JOURNAL OF COMPUTATIONAL PHYSICS, Vol: 181, Pages: 222-259, ISSN: 0021-9991
- Author Web Link
- Cite
- Citations: 31
Degond P, Lemou M, 2002, Turbulence Models for Incompressible Fluids Derived from Kinetic Theory, JOURNAL OF MATHEMATICAL FLUID MECHANICS, Vol: 4, Pages: 257-284, ISSN: 1422-6928
- Author Web Link
- Cite
- Citations: 12
Degond P, Parzani C, Vignal MH, 2002, A model for plasma expansion in vacuum, COMPTES RENDUS MATHEMATIQUE, Vol: 335, Pages: 399-404, ISSN: 1631-073X
- Author Web Link
- Cite
- Citations: 9
This data is extracted from the Web of Science and reproduced under a licence from Thomson Reuters. You may not copy or re-distribute this data in whole or in part without the written consent of the Science business of Thomson Reuters.