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DY: Dynamik und Statistische Physik

DY 10: Fluid Dynamics I

DY 10.2: Talk

Friday, March 4, 2005, 10:30–10:45, TU H3010

Patterns in Reaction-Advection-Diffusion systems — •Markus Abel — Universitaet Potsdam

We develop a theory describing the transition to a spatially homogeneous regime in a mixing flow with a chaotic in time reaction. The transverse Lyapunov exponent governing the stability of the homogeneous state can be represented as a combination of Lyapunov exponents for spatial mixing and temporal chaos. This representation, being exact for time-independent flows and equal Péclet numbers of different components, is demonstrated to work accurately for time-dependent flows and different Péclet numbers.