• (with P. Constantin, A. Oberman and L. Ryzhik) Bulk burning rate in passive-reactive diffusion, Arch. Ration. Mech. Anal. 154 (2000), 53--91.


  • (with L. Ryzhik) Enhancement of the traveling front speeds in reaction-diffusion equations with advection, Ann. Inst. H. Poincare Anal. Non Lineaire 18 (2001), no. 3, 309--358


  • (with P. Constantin and L. Ryzhik) Quenching of flames by fluid advection, Commun. Pure Appl. Math. 54 (2001), no. 11, 1320--1342


  • (with L. Ryzhik) An upper bound for the bulk burning rate for systems, Nonlinearity 14, 2001, 1297-1310


  • (with P. Constantin and L. Ryzhik) Fronts in reactive convection: bounds, stability and instability, pdf ps dvi, Commun. Pure Appl. Math. 56 (2003), 1781--1803.


  • (with N. Vladimirova, P. Constantin, O. Ruchayskiy and L. Ryzhik) Flame enhancement and quenching in fluid flows, pdf ps dvi, Combustion Theory and Modelling 7 (2003), 487--508.


  • (with H. Berestycki, F. Hamel and L. Ryzhik) Quenching and propagation in KPP reaction-diffusion equations with a heat loss, pdf ps dvi, Arch. Rat. Mech. Anal. 178 (2005), 57--80.


  • (with A. Zlatos) Quenching of combustion by shear flows, pdf ps dvi, Duke Math. J. 132 (2006), 49--72.


  • (with A. Fannjiang and L. Ryzhik) Quenching of reaction by cellular flows, pdf ps, GAFA 16 (2006), 40--69.


  • (with L.R. Markely, D. Andrzejewski and E. Butzlaff) Enhancement of combustion by drift in a coupled reaction-diffusion model, pdf ps, Commun. Math. Sciences, 4 (2006), 213--225.


  • (with P. Constantin, L. Ryzhik and A. Zlatos) Diffusion and mixing in fluid flow, pdf ps dvi, Ann. of Math. (2) 168 (2008), no. 2, 643--674.


  • Diffusion and mixing in fluid flow: a review, pdf ps dvi, to appear at Proceedings of ICMP 2006, Rio.


  • (with R. Shterenberg and A. Zlatos) Relaxation Enhancement by Time-Periodic Flows, pdf ps dvi, Indiana Univ. Math. J. 57 (2008), 2137--2152.


  • (with H. Berestycki, A. Novikov and L. Ryzhik) The explosion problem in a flow, pdf, to appear at J. d'Analyse Math.



  • Research partially supported by the NSF grant DMS-0653813