Application of ILDM Methods in Reaction Diffusion Systems

3 Application of ILDM Methods in Reaction Diffusion Systems 

One such approach is the reaction—dijfusion manifold (REDIM) method. Using the notation of Bykov and Maas (2007a), the evolution equation for the scalar field of a reacting flow is given by 

The assumption that an invariant slow manifold of low dimension exists in the state space yields 

Once the manifold has been identified, the governing equation for the scalar field of the reacting flow can be projected onto the manifold (Bykov and Maas 2007b, 2009a, b Maas and Bykov 2011)  

The REDIM method has been applied to systems with complex transport models (Maas and Bykov 2011). Its concepts have some similarities to the strategies used in 

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