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Sur le potentiel de pression-gravitation pour le mouvement d’un gaz à transformation adiabatique
Benabidallah, Rachid
Taleb, Lynda
Fujita Yashima, Hisao
2009
Abstract
We consider the equation system of motion of
a gas with adiabatic transformation, for which we define the functional for the potential energy due to gravitation and pression, and we prove that the distribution of density and temperature of the rest state minimizes this functional. The technical difficulty for this proof resides in the fact that the class of admissible functions for this functional is not convex.
Series
Rendiconti dell'Istituto di Matematica dell'Università di Trieste. An International Journal of Mathematics
40 (2008)
Publisher
EUT - Edizioni Università di Trieste
Source
Rachid Benabidallah, Lynda Taleb, Hisao Fujita Yashima, "Sur le potentiel de pression-gravitation pour le mouvement d’un gaz à transformation adiabatique", in Rendiconti dell’Istituto di Matematica dell’Università di Trieste. An International Journal of Mathematics, 40 (2008), pp. 65-91.
Languages
fr
File(s)