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J. Fluid Mech., vol. 446 (2001), pp. 173-198
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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.
- (with L. Berlyand) Geometric patterns and
effective conductivity of highly packed two-phase composites,
in Homogenization 2001 L. Carbone and R. De Arcangelis Ed.(2003)
- Eddy viscosity of cellular flows by upscaling,
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Discrete network approximation for highly-packed
composites with irregular geometry in three dimensions,
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Methods in Science and Engineering, Springer Lecture Notes(2005), pp.21-58.
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layers for cellular flows at high Peclet numbers, Comm. Pure Appl. Math.,
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On a conjecture of Widom
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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
flow, Arch. Ration. Mech. Anal., vol. 184 (2007), no.1, pp. 23-48.
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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.
- (with J.Nolen) Homogenization of the G-equation with incompressible random drift in two dimensions, Commun. Math. Sci., vol. 9(2011), no.2, pp. 561--582.
- (with G.Iyer) The regularizing effects of resetting in a
particle system for the Burgers' equation, Ann. of Probability, vol. 39(2011), no.4, pp. 1468-1501.
- (with T.Komorowski and L.Ryzhik) Evolution of Particle Separation in Slowly Decorrelating Velocity Fields, Commun. Math.
Sci., vol. 10(2012), no.3, pp. 767--786.
- (with Y.Gorb) Blow up of Solutions to the p-Laplace Equation, SIAM Multiscale Model. Simul. vol 10(2012), no.3, pp. 727--743.
- (with M.Moscoso, G.Papanicolaou and L.Ryzhik)
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,
Journal of Mathemtical Physics, vol 53 (2012), no.11, 115611.
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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.
T.Komorowski and L.Ryzhik)
Homogenization driven by a fractional Brownian motion: the shear
SIAM Multiscale Model. Simul., to appear.
- 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.