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7 Reaction-Diffusion Equations – Homogeneous and Heterogeneous Environments
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and consider the reaction-diffusion system
x
x
u t = div D grad u + F , u
ε ε
n
eitheronthewholespaceR oronaboundeddomainwithappropriateboundary
conditions.Forthesakeofsimplicity,weneglectedslowscaleeffectsinDandinF.
Themainquestioniswhetherslowscale‘averaged’dynamicscanbeextracted
from the fast scale problem without actually resolving the fast scale features. In
Fig. 7.7. Male lion
