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with irregular geometry,
SIAM J. Math. Anal., vol. 34 (2002), no. 2, pp. 385-408.
- Modulational stability of cellular flows,
Nonlinearity, vol. 16 (2003), pp.1607-1639.
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Discrete network approximation for highly-packed
composites with irregular geometry in three dimensions,
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Efficient dynamic Monte Carlo algorithm for time-dependent catalytic surface chemistry, Phys. Rev. E, vol.74, 046707 (2006).
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Bounds on the speed of propagation of the KPP fronts in a cellular
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- A Discrete Network Approximation for Effective Conductivity of Non-ohmic High-constrast Composites, Commun. Math.
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high Peclet numbers , DCDS-B, vol. 51(2011), no.1, pp.75--92.
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particle system for the Burgers' equation, Ann. of Probability, vol. 39(2011), no.4, pp. 1468-1501.
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A differential equations approach to l_1-minimization with applications to
array imaging, Inverse Problems, vol 28(2012), no.10, 105001, 21 pp, included in the
Inverse Problems 2012 Highlights Collection.
- (with E.Lunasin, Z.Lin, A.Mazzucato and C.Doering)
Optimal mixing and optimal
stirring for fixed energy, fixed power or fixed palenstrophy flows,
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Traveling wave solutions of Advection-Diffusion Equations with Nonlinear Diffusion, Ann. Inst. H. Poincare, Anal. Non Lineaire, vol 30 (2013), no.4, pp.705-735.
G.Iyer, T.Komorowski and L.Ryzhik)
From homogenization to averaging in cellular flows, Ann. Inst. H. Poincare, Anal. Non Lineaire, to appear.
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Homogenization driven by a fractional Brownian motion: the shear
SIAM Multiscale Model. Simul., Vol. 12 (2014), No. 2, pp. 440–457.
- On the Explosion Problem in a Ball, Commun. Math.
Sci., to appear.
Work supported by NSF grant DMS-0908011 ``Waves and Fronts in Heterogeneous Media'', 2009-2013.