An H-theorem for chemically reacting gases

Gilberto M. Kremer, Filipe Oliveira, Ana Jacinta Soares

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review


The trend to equilibrium of a quaternary mixture undergoing a reversible reaction of bimolecular type is studied in a quite rigorous mathematical picture within the framework of Boltzmann equation extended to chemically reacting gases. A characterization of the reactive summational collision invariants, equilibrium Maxwellian distributions and entropy inequality allow to prove two main results under the assumption of uniformly boundedness and equicontinuity of the distribution functions. The first establishes the tendency of the reacting mixture to evolve to an equilibrium state as time becomes large. The other states that the solution of the Boltzmann equation for the chemically reacting mixture of gases converges in strong L1-sense to its equilibrium solution.

Original languageEnglish
Title of host publicationDYNAMICS, GAMES AND SCIENCE II
EditorsM. M. Peixoto, A. A. Pinto, D. A. Rand
PublisherSpringer Verlag
Number of pages4
ISBN (Print)978-3-642-14787-6
Publication statusPublished - 2011

Publication series

NameSpringer Proceedings in Mathematics
PublisherSpringer Verlag
ISSN (Print)2190-5614


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