Publications in Turbulent Transport and Homogenization

• Small-scale behaviors of scalar field in rough turbulent velocities
  • Invariance Principle for Inertial-Scale Behavior of Scalar Field in Kolmogorov-type Turbulence
    Physica D, 179: 3-4 (2003), pp. 161-182.
  • Convergence of Passive Scalars in Ornstein-Uhlenbeck Flows to Kraichnan's Model
    Journal of Statistical Physics, in press.
  • Lagrangian Dynamics for a Passive Tracer in a Class of Gaussian Markovian Flows
    Stoch. Proc. Appl. 97 (2002), pp. 171-198 (with T. Komorowski and S. Peszat).
• Convection-Enhanced Diffusion
  • Convection Enhanced Diffusion for Periodic Flows.
    SIAM J. Appl. Math. 54:2(1994), pp. 333-408. (with G.C. Papanicolaou)
  • Convection Enhanced Diffusion for Random Flows
    J. Stat. Phys 88:5-6(1997), pp. 1033-76 (with G.C. Papanicolaou)
• Homogenization and Turbulent Diffusion
  • Diffusion in Turbulence
    Probab. Th. Rel. Fields 105 (1996), pp. 279-334. (with G.C. Papanicolaou)
  • A Martingale Approach to Homogenization of Unbounded Random Flows
    Ann. Probab. 25:4(1997), pp. 1872--1894 (with T. Komorowski)
  • Boundary Value Problems with Unbounded Random Flows
    J. Diff. Eq. 143:2 (1998), pp. 327--359.
  • An Invariance Principle for Diffusion in Turbulence
    Ann. Probab. 27:2 (1999), pp. 751-781. (with T. Komorowski).
  • Turbulent Diffusion in Markovian Flows
    Ann. Appl. Probab. 9:3 (1999), pp. 591-610. (with T. Komorowski).
  • Invariance Principle for a Diffusion in a Markov Field
    Bull. Pol. Acad. Sci. 49(1) (2001). (with T. Komorowski)
  • Diffusive and Non-diffusive limits for Transport in Non-Mixing Flows
    SIAM J. Appl. Math. 62:3(2002), pp. 909-923 (with T. Komorowski)
  • Diffusions in Long-Range Correlated Ornstein-Uhlenbeck Flows
    Electronic Journal of Probability 7(2002), 20 (with T. Komorowski)
• Anomalous Transport and Phase Diagram
  • Anomalous Diffusion in Random Flows
    IMA Math Appl. 99 (1998), pp. 81-99.
  • Phase Diagram for Turbulent Transport
    Physica D Vol. 136, Nos. 1-2, pp. 145-174. Erratum Physica D 157(2001), pp. 166-168
  • Limit Theorems for Motions in a Flow with a Nonzero Drift
    Bull. Pol. Acad. Sci. 47:4 (1999), pp. 393-413. (with T. Komorowski)
  • Taylor-Kubo Formula for Turbulent Diffusion in a Non-Mixing Flow with Long-Range Correlation
    Bull. Pol. Acad. Sci. 48 (3)(2000), pp 253-275 (with T. Komorowski).
• Trajectory Correlations
  • Evolution of Trajectory Correlations in Steady Random Flows
    Proc. Symp. Appl. Math. 54(1998), pp. 105-130. (with L. Ryzhik and G.C. Papanicolao)
• Fractional Brownian Motion
  • Fractional Brownian Motion Limit for Turbulent Transport
    Ann. Appl. Probab. (In press) (with T. Komorowski).
  • Fractional Brownian Motions and Enhanced Diffusion in a Unidirectional Wave-like Turbulence.
    J. Stat. Phys. 100:5/6(2000), pp. 1071-1095. (with T. Komorowski)
  • Frozen Path Approximation for Turbulent Diffusion and Fractional Brownian Motion in Random Flows.
    SIAM Journal on Applied Mathematics, in press (with T. Komorowski).