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Strain induced slowdown of front propagation in random shear flow via analysis of G-equations


Author: Hongwei Gao
Journal: Proc. Amer. Math. Soc. 144 (2016), 3063-3076
MSC (2010): Primary 70H20; Secondary 76M50
DOI: https://doi.org/10.1090/proc/12930
Published electronically: November 20, 2015
MathSciNet review: 3487236
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Abstract: It is proved that for the 2-dimensional case with random shear flow of the G-equation model with strain term, the strain term reduces the front propagation. Also an improvement of the main result by Armstrong-Souganidis is provided.


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Additional Information

Hongwei Gao
Affiliation: Department of Mathematics, University of California, Irvine, California 92697-3875
Email: hongweig@math.uci.edu

DOI: https://doi.org/10.1090/proc/12930
Keywords: Hamilton-Jacobi equation, level-set convex, stochastic homogenization, the G-equation, strain, random shear flow
Received by editor(s): November 16, 2014
Received by editor(s) in revised form: August 14, 2015
Published electronically: November 20, 2015
Additional Notes: The author was partially supported by DMS-1151919
Communicated by: Joachim Krieger
Article copyright: © Copyright 2015 American Mathematical Society