Selected Papers :
- White noise perturbation of the viscous shock fronts of the Burgers
equation (with J. Wehr), Comm. Math. Physics (1996), pp 183-203.
- Front speed in a Burgers equation with random flux (with J. Wehr),
J. Stat. Phys,
88(3/4)(1997), 843-871.
-
A numerical study of fronts in random media using a reactive
solute transport model (with M. Postel), Computational Geoscience 1 (1997),
pp 251-270.
-
Self-Similar Decay in the Kraichnan Model of a Passive Scalar,
(with G. L. Eyink), Journal Stat Phys, Vol. 100, Issue 3/4,
August 2000, pp. 679-741.
-
Statistical Analysis of a Semilinear Hyperbolic System Advected by a
White in Time Random Velocity Field,
(with G. L. Eyink), Nonlinearity, Vol 15, No.3,
May 2002, pp 551-565.
-
KPP Front Speeds in Random Shears and the Parabolic Anderson Problem,
Methods and Applications of Analysis, Vol. 10, No. 2, pp 191-198, 2003.
-
Min-Max Variational Principle and Front Speeds
in Random Shear Flows (with J. Nolen),
Methods and Applications of Analysis, Vol. 11, No. 4, pp 635-644, 2004.
-
A Variational Principle Based Study of KPP Minimal Front Speeds
in Random Shears (with J. Nolen),
Nonlinearity 18 (2005), pp 1655 - 1675.
-
Scaling Limits of Waves in
Convex Scalar Conservation Laws under Random Initial Perturbations
(with J. Wehr), J. Stat. Physics, Vol. 122, No. 2, pp 361-370, 2006.
-
A Variational Principle of KPP Front Speeds
in Temporally Random Shear Flows (with J. Nolen),
Comm Math Physics, Vol. 269, pp 493-532, 2007.
-
Breakdown of homogenization for the random Hamilton-Jacobi equations
(with Weinan E, and J. Wehr), Comm. Math Sci, Vol 6, No. 1, pp 189-197, 2008.
-
Finite Element Computation of KPP Front Speeds in Random Shear Flows in
Cylinders (with L. Shen and A. Zhou), SIAM J. Multiscale
Modeling and Simulation,
Vol. 7, Issue 3, pp. 1029-1041, 2008.
(http://dx.doi.org/10.1137/080717420)
-
Computing Reactive Front Speeds in Random Flows by Variational Principle
(with J. Nolen),
Physica D, 237(2008), pp 3172-3177. (doi:10.1016/j.physd.2008.04.024).
-
KPP Fronts
in a One Dimensional Random Drift (with J. Nolen),
Discrete and Continuous Dynamical Systems-B, Vol. 11, No. 2, pp 421-442, 2009.
-
Asymptotic Spreading of KPP Reactive
Fronts in Incompressible Space-Time Random Flows
(with J. Nolen),
Ann Inst. H. Poincare, Analyse Non Lineaire, Vol. 26, Issue 3, May-June 2009,
pp 815-839.
- Variational principle and reaction-diffusion front speeds in random flows (with J. Nolen),
ICIAM07-Proceedings, pp. 1040701-1040702, Published Online: Dec 12 2008,
DOI: 10.1002/pamm.200701042
