Journal Publications

• (with W. Pfeffer) An invariant Riemann type integral defined by figures, Proc. Am. Math. Soc., vol. 120 (1994), pp. 849-854.
• (with G. Papanicolaou) Eddy viscosity of cellular flows, J. Fluid Mech., vol. 446 (2001), pp. 173-198
• (with L. Berlyand) Error of the network approximation for densely packed composites 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.
  
• Eddy viscosity of cellular flows by upscaling, J. Comput. Phys., vol. 195 (2004), no. 1, pp. 341-354.
  
• (with G.Papanicolaou and L.Ryzhik) Boundary layers for cellular flows at high Peclet numbers, Comm. Pure Appl. Math., vol.58 (2005), no. 7, pp. 867-922
• (with A. Borodin) On a conjecture of Widom , J. Phys. A 39 (2006), no. 28, pp. 8895--8903.
  
• (with V.Rai and H.Pitsch) Efficient dynamic Monte Carlo algorithm for time-dependent catalytic surface chemistry, Phys. Rev. E, vol.74, 046707 (2006).
  
• (with L. Ryzhik) 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.
  
• (with P. Constantin and L. Ryzhik) Relaxation in reactive flows, Geom. Funct. Anal., vol. 18 (2008), no.4, pp. 1145-1167.
  
• (with L.Berlyand and O.Bruno) Rise of Correlations of Transformaton Strains in Random Polycrystals, SIAM J. Math. Anal., vol. 40 (2008), no.4, pp. 1550--1584.
  
• (with L.Berlyand and Yu.Gorb) Fictitious Fluid Approach and Anomalous Blow-up of the Dissipation Rate in a 2D Model of Concentrated Suspensions, Arch. Ration. Mech. Anal., vol. 193(2009), no.3, pp. 585--622.
  
• A Discrete Network Approximation for Effective Conductivity of Non-ohmic High-constrast Composites, Commun. Math. Sci., vol. 7(2009), no.3, pp. 719--740.
  
• (with H. Berestycki, A. Kiselev and L.Ryzhik) The explosion problem in a flow, J. Anal. Math., to appear.