Albert Fannjiang

Selected Publications by A. Fannjiang

Fracture Mechanics
- Gradient Elasticity Solution for a Mode III Crack in a Functionally Graded Materials
  Materials Science Forum Vols. 308-311 (1999), pp. 971-976. (with G.H. Paulino and Y.-S. Chan)
- Integral Equations with Hypersingular Kernels -- Theory and Applications to Fracture Mechanics
  Int. J. Num. Meth. Eng. (with Y-S. Chan and G.H. Paulino)
Radiative Transfer of Waves
- Radiative Transport in a Periodic Structure
  J. Stat. Phys. 95:1-2 (1999), pp.479-494. (with G. Bal, G.C Papanicolaou L. Ryzhik)
- High Frequency Behavior of the Focusing Nonlinear Schroedinger Equation with Random Inhomogeneities
  SIAM J. Appl. Math. (with S. Jin and G. C. Papanicolaou)
Transport in Fluids
- Convection Enhanced Diffusion for Periodic Flows.
  SIAM J. Appl. Math. 54:2(1994), pp. 333-408. (with G.C. Papanicolaou)
- Time Scales in Noisy Conservative Systems
  Proc. ONR Inter. Workshop, Lec. Notes Phys 450 (1995), pp. 124-139.
- Diffusion in Turbulence
  Probab. Th. Rel. Fields 105 (1996), pp. 279-334. (with G.C. Papanicolaou)
- Convection Enhanced Diffusion for Random Flows
  J. Stat. Phys 88:5-6(1997), pp. 1033-76 (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.
- Anomalous Diffusion in Random Flows
  IMA Math Appl. 99 (1998), pp. 81-99.
- Evolution of Trajectory Correlations in Steady Random Flows
  Proc. Symp. Appl. Math. 54(1998), pp. 105-130. (with L. Ryzhik and G.C. Papanicolao)
- 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).
- Phase Diagram for Turbulent Transport
  Physica D Vol. 136, Nos. 1-2, pp. 145-174.
- Limit Theorems for Motions in a Flow with a Nonzero Drift
  Bulletin of Polish Academy of Sciences 47:4 (1999), pp. 393-413. (with T. Komorowski)
- Taylor-Kubo Formula for Turbulent Diffusion in a Non-Mixing Flow with Long-Range Correlation
  To appear in Bull. Pol. Acad. Sci. (with T. Komorowski).
- Fractional Brownian Motion Limit for Turbulent Transport
  To appear in Ann. Appl. Probab. (with T. Komorowski).
- Time Scales in Homogenization of Periodic Flows with Vanishing Molecular Diffusion.
  submitted to J. Diff. Eq.
- Fractional Brownian Motion and Enhanced Diffusion in a Unidirectional Wave-like Turbulence.
  submitted to J. Stat. Phys.