For stationary kinetic equations, entropy dissipation can sometimes be used in existence proofs similarly to entropy in the time dependent situation. Recent results in this spirit obtained in collaboration with A. Nouri, are here presented for the nonlinear stationary Boltzmann equation in bounded domains of with given indata and diffuse reflection on the boundary.
@article{SEDP_2001-2002____A1_0, author = {Arkeryd, Leif}, title = {On the stationary {Boltzmann} equation}, journal = {S\'eminaire \'Equations aux d\'eriv\'ees partielles (Polytechnique) dit aussi "S\'eminaire Goulaouic-Schwartz"}, note = {talk:1}, pages = {1--11}, publisher = {Centre de math\'ematiques Laurent Schwartz, \'Ecole polytechnique}, year = {2001-2002}, language = {en}, url = {http://www.numdam.org/item/SEDP_2001-2002____A1_0/} }
TY - JOUR AU - Arkeryd, Leif TI - On the stationary Boltzmann equation JO - Séminaire Équations aux dérivées partielles (Polytechnique) dit aussi "Séminaire Goulaouic-Schwartz" N1 - talk:1 PY - 2001-2002 SP - 1 EP - 11 PB - Centre de mathématiques Laurent Schwartz, École polytechnique UR - http://www.numdam.org/item/SEDP_2001-2002____A1_0/ LA - en ID - SEDP_2001-2002____A1_0 ER -
%0 Journal Article %A Arkeryd, Leif %T On the stationary Boltzmann equation %J Séminaire Équations aux dérivées partielles (Polytechnique) dit aussi "Séminaire Goulaouic-Schwartz" %Z talk:1 %D 2001-2002 %P 1-11 %I Centre de mathématiques Laurent Schwartz, École polytechnique %U http://www.numdam.org/item/SEDP_2001-2002____A1_0/ %G en %F SEDP_2001-2002____A1_0
Arkeryd, Leif. On the stationary Boltzmann equation. Séminaire Équations aux dérivées partielles (Polytechnique) dit aussi "Séminaire Goulaouic-Schwartz" (2001-2002), Talk no. 1, 11 p. http://www.numdam.org/item/SEDP_2001-2002____A1_0/
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