Imperial College London

ProfessorPierreDegond

Faculty of Natural SciencesDepartment of Mathematics

Chair in Applied Mathematics
 
 
 
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Contact

 

+44 (0)20 7594 1474p.degond Website CV

 
 
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Location

 

6M38Huxley BuildingSouth Kensington Campus

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Summary

 

Publications

Publication Type
Year
to

284 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

Journal article

Besse C, Claudel J, Degond P, Deluzet F, Gallice G, Tessieras Cet al., 2005, Ionospheric plasmas: model derivation, stability analysis and numerical simulations, 8th CEMRACS 2003 Conference, Publisher: EUROPEAN MATHEMATICAL SOC, Pages: 101-129

Conference paper

Besse C, Claudel J, Degond P, Deluzet F, Gallice G, Tessieras Cet al., 2005, Instability of the ionospheric plasma: Modeling and analysis, SIAM JOURNAL ON APPLIED MATHEMATICS, Vol: 65, Pages: 2178-2198, ISSN: 0036-1399

Journal article

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

Journal article

Bidegaray-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

Journal article

Besse C, Bidegaray-Fesquet B, Bourgeade A, Degond P, Saut Oet 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

Journal article

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

Journal article

Crispel P, Degond P, Parzani C, Vignal MHet 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

Journal article

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

Conference paper

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

Conference paper

Degond P, Parzani C, Vignal MH, 2004, On plasma expansion in vacuum, Conference on Free Boundary Problems, Publisher: BIRKHAUSER VERLAG AG, Pages: 103-112

Conference paper

Degond P, Lemou M, Lopez 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

Conference paper

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

Book chapter

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

Journal article

Degond P, Lemou M, Lopez 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

Journal article

Degond P, Ringhofer C, 2003, Quantum moment hydrodynamics and the entropy principle, JOURNAL OF STATISTICAL PHYSICS, Vol: 112, Pages: 587-628, ISSN: 0022-4715

Journal article

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

Journal article

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

Journal article

Ben Abdallah N, Degond P, Mellet A, Poupaud Fet al., 2003, Electron transport in semiconductor superlattices, QUARTERLY OF APPLIED MATHEMATICS, Vol: 61, Pages: 161-192, ISSN: 0033-569X

Journal article

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

Journal article

Caceres MJ, Carrillo JA, Degond P, 2002, 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.

Journal article

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

Journal article

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

Journal article

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

Journal article

Ben Abdallah NB, Degond P, Deluzet F, Latocha V, Talaalout R, Vignal MHet al., 2003, Diffusion limits of kinetic models, 9th International Conference on Hyperbolic Problems, Publisher: SPRINGER-VERLAG BERLIN, Pages: 3-17

Conference paper

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

Journal article

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

Journal article

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

Journal article

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

Journal article

Degond P, Lemou M, Picasso M, 2002, Viscoelastic fluid models derived from kinetic equations for polymers, SIAM JOURNAL ON APPLIED MATHEMATICS, Vol: 62, Pages: 1501-1519, ISSN: 0036-1399

Journal article

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