Seminar in applied mathematics and statistics

SPEAKER: Christian Lax (RWTH Aachen)

TITLE: Tikhonov-Fenichel reductions for reaction diffusion systems

ABSTRACT: Tikhonov-Fenichel reductions, i.e. asymptotic reductions of ODE systems based on the classical theorems of Tikhonov and Fenichel, have been used successfully in the context of chemical reaction systems with spatial homogeneity. Due to the absence of an analogous theorem in the context of reaction diffusion systems (i.e. systems of PDEs) we propose a heuristic method to use Tikhonov-Fenichel reductions for spatially discretized PDE systems. This heuristic is based on a rigorous result for compartmental systems. We can show for a number of applications that this ansatz is well-grounded.

Note: The talk is part of the group meeting of the group Mathematics of reaction networks. Thus it will be kind of informal, with interruptions to ask questions.

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Tea and chocolate will be served on the 4th floor (4-4-19) after the seminar.