TY - JOUR
T1 - Flame fronts in a turbulent combustion model with fractal velocity fields
AU - Majda, Andrew J.
AU - Souganidis, Panagiotis
PY - 1998
Y1 - 1998
N2 - Here the propagation of flame fronts for turbulent reaction diffusion equations is established for model velocity fields that are random and fractal unidirectional shear flows. It is established here that the flame fronts that exhibit anomalous scaling and are likely to be fractal themselves can be described through solutions of a suitable variational inequality. Despite the special nature of the random shear flows, these are the first rigorous results on front propagation with fractal fields.
AB - Here the propagation of flame fronts for turbulent reaction diffusion equations is established for model velocity fields that are random and fractal unidirectional shear flows. It is established here that the flame fronts that exhibit anomalous scaling and are likely to be fractal themselves can be described through solutions of a suitable variational inequality. Despite the special nature of the random shear flows, these are the first rigorous results on front propagation with fractal fields.
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U2 - 10.1002/(sici)1097-0312(199811/12)51:11/12<1337::aid-cpa4>3.0.co;2-b
DO - 10.1002/(sici)1097-0312(199811/12)51:11/12<1337::aid-cpa4>3.0.co;2-b
M3 - Article
AN - SCOPUS:0032332576
SN - 0010-3640
VL - 51
SP - 1337
EP - 1348
JO - Communications on Pure and Applied Mathematics
JF - Communications on Pure and Applied Mathematics
IS - 11-12
ER -