Kinetic and related models with applications in the natural sciences

Chemical reaction-diffusion networks: convergence of the method of lines

Adrian Tudorascu

West Virginia University


We show that solutions of the chemical reaction-diffusion system associated to A + B<--->C in one spatial dimension can be approximated in L^2 on any finite time interval by solutions of a space discretized ODE system which models the corresponding chemical reaction system replicated in the discretization subdomains where the concentrations are assumed spatially constant. Based on joint work with F. Mohamed and C. Pantea.