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Title Analysis of a fully nonlinear reaction-diffusion system describing multicomponent reactive flows

Name Martine Marion
Country France
Email Martine.Marion@ec-lyon.fr
Co-Author(s) Roger Temam
Submit Time 2014-02-06 07:53:29
Special Session 2: Nonlinear evolution PDEs and interfaces in applied sciences
We consider combustion problems in the presence of complex chemistry and nonlinear diffusion laws leading to fully nonlinear multispecies reaction-diffusion equations. We establish results of existence of solution and maximum principle, i.e. positivity of the mass fractions, which rely on specific properties of the models. The nonlinear diffusion coefficients are obtained by resolution of the so-called Stefan-Maxwell equations.