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Quenching of Reaction by Cellular Flows
Quenching of Reaction Cellular Flows
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2015/7/14
We consider a reaction-diffusion equation in a cellular flow. We prove that in the strong flow regime there are two possible scenario for the initial data that is compactly supported and the size of t...
From homogenization to averaging in cellular flows
From homogenization cellular flows
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2015/7/14
We consider an elliptic eigenvalue problem with a fast cellular flow of amplitude A, in a twodimensional domain with L2 cells. For fixed A, and L → ∞, the problem homogenizes, and has been well studie...
A Numerical Study of Turbulent Flame Speeds of Curvature and Strain G-equations in Cellular Flows
Curvature/Strain G-equations Cellular Flows Front Speed Computation Enhancement and Quenching
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2012/2/29
We study front speeds of curvature and strain G-equations arising in turbulent combustion. These G-equations are Hamilton-Jacobi type level set partial differential equations (PDEs) with non-coercive ...