Homogeneous Boltzmann equation in quantum relativistic kinetic theory
We consider some mathematical questions about Boltzmann equations for quantum particles, relativistic or non relativistic. Relevant particular cases such as Bose, Bose-Fermi, and photon-electron gases are studied. We also consider some simplifications such as the isotropy of the distribu...
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Texas State University
2003-01-01
|
| Series: | Electronic Journal of Differential Equations |
| Subjects: | |
| Online Access: | http://ejde.math.txstate.edu/Monographs/04/abstr.html |
| _version_ | 1819292610706014208 |
|---|---|
| author | Miguel Escobedo Stephane Mischler Manuel A. Valle |
| author_facet | Miguel Escobedo Stephane Mischler Manuel A. Valle |
| author_sort | Miguel Escobedo |
| collection | DOAJ |
| description | We consider some mathematical questions about Boltzmann equations for quantum particles, relativistic or non relativistic. Relevant particular cases such as Bose, Bose-Fermi, and photon-electron gases are studied. We also consider some simplifications such as the isotropy of the distribution functions and the asymptotic limits (systems where one of the species is at equilibrium). This gives rise to interesting mathematical questions from a physical point of view. New results are presented about the existence and long time behaviour of the solutions to some of these problems. |
| first_indexed | 2024-12-24T03:57:16Z |
| format | Article |
| id | doaj.art-d7cd8b37e777459c8a45193707d2cbc3 |
| institution | Directory Open Access Journal |
| issn | 1072-6691 |
| language | English |
| last_indexed | 2024-12-24T03:57:16Z |
| publishDate | 2003-01-01 |
| publisher | Texas State University |
| record_format | Article |
| series | Electronic Journal of Differential Equations |
| spelling | doaj.art-d7cd8b37e777459c8a45193707d2cbc32022-12-21T17:16:25ZengTexas State UniversityElectronic Journal of Differential Equations1072-66912003-01-01Monographs04185Homogeneous Boltzmann equation in quantum relativistic kinetic theoryMiguel EscobedoStephane MischlerManuel A. ValleWe consider some mathematical questions about Boltzmann equations for quantum particles, relativistic or non relativistic. Relevant particular cases such as Bose, Bose-Fermi, and photon-electron gases are studied. We also consider some simplifications such as the isotropy of the distribution functions and the asymptotic limits (systems where one of the species is at equilibrium). This gives rise to interesting mathematical questions from a physical point of view. New results are presented about the existence and long time behaviour of the solutions to some of these problems.http://ejde.math.txstate.edu/Monographs/04/abstr.htmlBoltzmann equationrelativistic particlesentropy maximizationBose distributionFermi distributionCompton scatteringKompaneets equation. |
| spellingShingle | Miguel Escobedo Stephane Mischler Manuel A. Valle Homogeneous Boltzmann equation in quantum relativistic kinetic theory Electronic Journal of Differential Equations Boltzmann equation relativistic particles entropy maximization Bose distribution Fermi distribution Compton scattering Kompaneets equation. |
| title | Homogeneous Boltzmann equation in quantum relativistic kinetic theory |
| title_full | Homogeneous Boltzmann equation in quantum relativistic kinetic theory |
| title_fullStr | Homogeneous Boltzmann equation in quantum relativistic kinetic theory |
| title_full_unstemmed | Homogeneous Boltzmann equation in quantum relativistic kinetic theory |
| title_short | Homogeneous Boltzmann equation in quantum relativistic kinetic theory |
| title_sort | homogeneous boltzmann equation in quantum relativistic kinetic theory |
| topic | Boltzmann equation relativistic particles entropy maximization Bose distribution Fermi distribution Compton scattering Kompaneets equation. |
| url | http://ejde.math.txstate.edu/Monographs/04/abstr.html |
| work_keys_str_mv | AT miguelescobedo homogeneousboltzmannequationinquantumrelativistickinetictheory AT stephanemischler homogeneousboltzmannequationinquantumrelativistickinetictheory AT manuelavalle homogeneousboltzmannequationinquantumrelativistickinetictheory |