We investigate global existence of smooth solutions with small data for multicomponent reactive flows with fast chemistry. The conservation equations, multicomponent fluxes, transport coefficients, thermodynamics, and chemical production rates are derived from the kinetic theory. The system of partial differential equations is symmetrizable hyperbolic-parabolic and involves stiff sources. Uniform a priori estimates are obtained and lead to global existence results for well prepared initial conditions extending previous results with nonstiff sources. Chemical equilibrium fluids, on the other hand, describe the conservation of atomic elements, momentum and energy. By combining estimates out of equilibrium with stability results for perturbed systems at chemical equilibrium, we establish convergence towards the chemical equilibrium fluid model when chemistry times go to zero.

报告人简介: Prof. Vincent Giovangigli is a research director at CNRS (French National Center for Scientific Research) Ecole Polytechnique, Center for Applied Mathematics. He got his PHD in 1982 and Habilitation in 1988. His main research interest is Mathematical modeling of multicomponent reactive flows. Up to now he has published 2 books and about 80 papers. In 2011 he was awarded with Jacques-Louis Lions prize from the French Academy of Sciences. He is in the Editorial board of ``Combustion Theory and Modelling'' and the Editor- in-Chief for ``Journal de l'Ecole Polytechnique -- Mathématiques''.