- 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.
- J. Liakhova, M. Luskin, and T. Zhang, Computational Modeling of Ferromagnetic Shape
Memory Thin Films, Integrated Ferroelectrics, 342: 73-82, 2006.
- 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.
- 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.
- 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.
- 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.
- 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.
- T. Zhang and I. Klapper, Mathematical model of biofilm induced calcite precipitation,
Water Science & Technology, Vol. 61, No. 11, pp. 2957-2964, 2010.
- 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.
- 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.
- Q. Wang and T. Zhang, Kinetic Theories for Biofilms, Discrete and Continuous Dynamical
System - B, Vol. 17, No. 3, pp. 1027-1059, 2012.
- T. Zhang, Modeling of Biocide Action Against Biofilm, Bulletin of Mathematical Biology,
Vol. 74, pp. 1427-1447, 2012.
- 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).
- 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
- T. Zhang and I. Klapper, Critical occlusion via biofilm induced calcite precipitation
in porous media, New J. Phys. 16 (2014) 055009.
Tianyu Zhang
Department of Mathematical Sciences
Montana State University
Bozeman, MT, 59717-2400
Office: Wilson Hall 2-229
Email: zhang@math.montana.edu
Phone: (406)-994-5363