Asymptotic scaling in a model class of anomalous reaction-diffusion equations

Details Asymptotic scaling in a model class of anomalous reaction-diffusion equations Asymptotic scaling in a model class of anomalous reaction-diffusion equations

2005-05-05

arxiv.org/abs/math-ph/0505016v1

J. Nonlin. Math.Phys. 12 (2005), 550-566

Physics

Mathematical Physics

To appear in J. Nonlin. Math. Phys

Scientific paper

We analyze asymptotic scaling properties of a model class of anomalous reaction-diffusion (ARD) equations. Numerical experiments show that solutions to these have, for large $t$, well defined scaling properties. We suggest a general framework to analyze asymptotic symmetry properties; this provides an analytical explanation of the observed asymptotic scaling properties for the considered ARD equations.

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