Journal
SIAM REVIEW
Volume 42, Issue 2, Pages 161-230Publisher
SIAM PUBLICATIONS
DOI: 10.1137/S0036144599364296
Keywords
fronts; heterogeneous media; homogenization; statistical analysis; modeling
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A review is presented of recent results on frost propagation in reaction-diffusion-advection equations in homogeneous and heterogeneous media. Formal asymptotic expansions and heuristic ideas are used to motivate the results wherever possible. The fronts include constant-speed monotone traveling frosts in homogeneous media, periodically varying traveling fronts in periodic media, and fluctuating and fractal fronts in random media. These fronts arise in a wide range of applications such as chemical kinetics, combustion, biology, transport in porous media, and industrial deposition processes. Open problems are briefly discussed along the way.
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