We derive the Euler equations as the hydrodynamic limit of a stochastic model of a hard-sphere gas. We show that the system does not produce entropy.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-bc66-0-21, author = {R. F. Streater}, title = {No production of entropy in the Euler fluid}, journal = {Banach Center Publications}, volume = {65}, year = {2004}, pages = {305-315}, zbl = {1062.35056}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-bc66-0-21} }
R. F. Streater. No production of entropy in the Euler fluid. Banach Center Publications, Tome 65 (2004) pp. 305-315. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-bc66-0-21/