Stationary states of a gas in a radiation field from a kinetic point of view

Anne Nouri

Annales de la Faculté des sciences de Toulouse : Mathématiques (2001)

  • Volume: 10, Issue: 2, page 361-390
  • ISSN: 0240-2963

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Nouri, Anne. "Stationary states of a gas in a radiation field from a kinetic point of view." Annales de la Faculté des sciences de Toulouse : Mathématiques 10.2 (2001): 361-390. <http://eudml.org/doc/73551>.

@article{Nouri2001,
author = {Nouri, Anne},
journal = {Annales de la Faculté des sciences de Toulouse : Mathématiques},
keywords = {kinetic equation; distribution function; photons; Boltzmann equations; gas; stationary solution; slab geometry},
language = {eng},
number = {2},
pages = {361-390},
publisher = {UNIVERSITE PAUL SABATIER},
title = {Stationary states of a gas in a radiation field from a kinetic point of view},
url = {http://eudml.org/doc/73551},
volume = {10},
year = {2001},
}

TY - JOUR
AU - Nouri, Anne
TI - Stationary states of a gas in a radiation field from a kinetic point of view
JO - Annales de la Faculté des sciences de Toulouse : Mathématiques
PY - 2001
PB - UNIVERSITE PAUL SABATIER
VL - 10
IS - 2
SP - 361
EP - 390
LA - eng
KW - kinetic equation; distribution function; photons; Boltzmann equations; gas; stationary solution; slab geometry
UR - http://eudml.org/doc/73551
ER -

References

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  1. [1] Arkeryd ( L.), Nouri ( A.). - "The stationary Boltzmann equation in the slab with given weighted mass for hard and soft forces", Ann. Scuola Norm. Sup. Pisa Cl. Sci. (4), Vol. XXVII, 533-556, 1998. Zbl0936.76076MR1677990
  2. [2] Bardos ( C.), Golse ( F.), Perthame ( B.), Sentis ( R.). — "The nonaccretive radiative transfer equations: existence of solutions and Rosseland approximation", J. Functional Analysis, 77: 434, 1998. Zbl0655.35075MR933978
  3. [3] Burgers ( J.M.). - Flow equations for composite gases, Academic Press, New-York, 1969. Zbl0214.25207
  4. [4] Cercignani ( C.). — The Boltzmann equation and its applications, Springer Verlag, New-York, 1988. Zbl0646.76001MR1313028
  5. [5] Chandrasekhar ( S.). - Radiative transfer, Dover Publications, New-York, 1960. MR111583
  6. [6] Di Perna ( R.J.), Lions ( P.L.). — "On the Cauchy problem for Boltzmann equations: Global existence and weak stability", Ann. of Math.130, 321-366, 1989. Zbl0698.45010MR1014927
  7. [7] Eu ( B.C.), Mao ( F.). - "Kinetic theory approach to irreversible thermodynamics of radiation and matter", PhysicaA, 180:65, 1992. MR1148551
  8. [8] Lions ( P.L.). — "Compactness in Boltzmann's equation via Fourier integral operator and applications. I", J. Math. Kyoto Univ.34, 391-427,1994. Zbl0831.35139MR1284432
  9. [9] Monaco ( R.), Polewczak ( J.), Rossani ( A.). - "Kinetic theory of atoms and photons : an application to the Milne-Chandrasekhar problem", Transport theory and Statistical Physics, 27 (5-7): 625, 1998. Zbl0947.76073MR1649768
  10. [10] Nouri ( A.). - "The evolution of a gas on a radiation field from a kinetic point of view", Preprint 2000. 
  11. [11] Oxenius ( J.). — Kinetic theory of particles and photons, Springer Verlag, New-York, 1986. MR835211
  12. [12] Rossani ( A.), Spiga ( G.), Monaco ( R.). - "Kinetic approach for two-level atoms interacting with monochromatic photons", Mech. Research Comm., 24:237, 1996. Zbl0900.76531MR1452056

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