Papers and Preprints

  1. Q. Du and T. Zhang, Numerical approximation of some linear stochastic partial differential equations driven by special additive noises, SIAM J. Numer. Anal., Vol 40, pp. 1421--1445, 2002.
  2. J. Liakhova, M. Luskin, and T. Zhang, Computational Modeling of Ferromagnetic Shape Memory Thin Films, Integrated Ferroelectrics, 342: 73-82, 2006.
  3. M. Luskin and T. Zhang, Numerical Analysis of a Model for Ferromagnetic Shape Memory Thin Film, Computer Methods in Applied Mechanics and Engineering, 196: 3759 - 3770, 2007.
  4. T. Zhang, N. Cogan, and Q. Wang, Phase-Field Models for Biofilms. II. 2-D Numerical Simulations of Biofilm-Flow Interaction, Communications in Computational Physics, Vol. 4, No. 1, pp. 72-101, 2008.
  5. T. Zhang, N. Cogan, and Q. Wang, Phase-Field Models for Biofilms. I. Theory and 1-D Simulations, SIAM J. Appl. Math. Vol. 69, No. 3, pp. 641-669, 2008.
  6. T. Zhang and Q. Wang, Cahn-Hilliard vs Singular Cahn-Hilliard Equations in Phase Field Modeling, Communications in Computational Physics, Vol. 7, No. 2, pp. 362-382 , 2010.
  7. Q. Wang and T. Zhang, Review of mathematical models for biofilms, Communication in Solid State Physics, Vol. 150, Issues 21-22, pp. 1009-1022, 2010.
  8. T. Zhang and I. Klapper, Mathematical model of biofilm induced calcite precipitation, Water Science & Technology, Vol. 61, No. 11, pp. 2957-2964, 2010.
  9. B. Lindley, Q. Wang and T. Zhang, A Multicomponent Model for Biofilm-Drug Interaction, Discrete and Continuous Dynamical System - B, Vol. 15, No. 2, 417-456, 2011.
  10. T. Zhang and I. Klapper, Mathematical model of the effect of electrodiffusion on biomineralization, International Journal of Non-Linear Mechanics, Vol 46, pp. 657-666, 2011.
  11. Q. Wang and T. Zhang, Kinetic Theories for Biofilms, Discrete and Continuous Dynamical System - B, Vol. 17, No. 3, pp. 1027-1059, 2012.
  12. T. Zhang, Modeling of Biocide Action Against Biofilm, Bulletin of Mathematical Biology, Vol. 74, pp. 1427-1447, 2012.
  13. B. Lindley, Q. Wang and T. Zhang, Multicomponent hydrodynamic model for heterogeneous biofilms: Two-dimensional numerical simulations of growth and interaction with flows., Physical Review E 85, 031908 (2012).
  14.  Zhang T, Pabst B, Klapper I, Stewart PS (2013) General Theory for Integrated Analysis of Growth, Gene, and Protein Expression in Biofilms. PLoS ONE 8(12): e83626. doi:10.1371/journal.pone.0083626
  15. T. Zhang and I. Klapper, Critical occlusion via biofilm induced calcite precipitation in porous media, New J. Phys. 16 (2014) 055009.