# Jian-Guo Liu

## Professor of Physics

### Selected Grants

Collaborative Research: Nonlocal models of aggregation and dispersion awarded by National Science Foundation (Principal Investigator). 2018 to 2021

Collaborative Research: Kinetic Models of Aggregation and Dispersion awarded by National Science Foundation (Principal Investigator). 2015 to 2019

Efficient Numerical Methods for Viscous Incompressible Flows awarded by National Science Foundation (Principal Investigator). 2009 to 2012

Liu, J. G., et al. “Asymmetry in crystal facet dynamics of homoepitaxy by a continuum model.” *Physica D: Nonlinear Phenomena*, vol. 393, June 2019, pp. 54–67. *Scopus*, doi:10.1016/j.physd.2019.01.004.
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Lafata, Kyle J., et al. “Association of pre-treatment radiomic features with lung cancer recurrence following stereotactic body radiation therapy..” *Phys Med Biol*, vol. 64, no. 2, Jan. 2019. *Pubmed*, doi:10.1088/1361-6560/aaf5a5.
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Huang, H., et al. “Learning interacting particle systems: Diffusion parameter estimation for aggregation equations.” *Mathematical Models and Methods in Applied Sciences*, vol. 29, no. 1, Jan. 2019, pp. 1–29. *Scopus*, doi:10.1142/S0218202519500015.
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Gao, Y., et al. “A vicinal surface model for epitaxial growth with logarithmic free energy.” *Discrete and Continuous Dynamical Systems Series B*, vol. 23, no. 10, Dec. 2018, pp. 4433–53. *Scopus*, doi:10.3934/dcdsb.2018170.
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Feng, Y., et al. “Continuous and discrete one dimensional autonomous fractional odes.” *Discrete and Continuous Dynamical Systems Series B*, vol. 23, no. 8, Oct. 2018, pp. 3109–35. *Scopus*, doi:10.3934/dcdsb.2017210.
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Feng, Y., et al. “A note on one-dimensional time fractional ODEs.” *Applied Mathematics Letters*, vol. 83, Sept. 2018, pp. 87–94. *Scopus*, doi:10.1016/j.aml.2018.03.015.
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Li, L., et al. “Cauchy problems for Keller–Segel type time–space fractional diffusion equation.” *Journal of Differential Equations*, vol. 265, no. 3, Aug. 2018, pp. 1044–96. *Scopus*, doi:10.1016/j.jde.2018.03.025.
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Liu, J. G., et al. “An accurate front capturing scheme for tumor growth models with a free boundary limit.” *Journal of Computational Physics*, vol. 364, July 2018, pp. 73–94. *Scopus*, doi:10.1016/j.jcp.2018.03.013.
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Chen, K., et al. “Online learning in optical tomography: A stochastic approach.” *Inverse Problems*, vol. 34, no. 7, May 2018. *Scopus*, doi:10.1088/1361-6420/aac220.
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Liu, Jian-Guo, and Xiangsheng Xu. “Partial regularity of weak solutions to a PDE system with cubic nonlinearity.” *Journal of Differential Equations*, vol. 264, no. 8, ACADEMIC PRESS INC ELSEVIER SCIENCE, Apr. 2018, pp. 5489–526. *Wos*, doi:10.1016/j.jde.2018.01.0010022.
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## Pages

Liu, J. G., and Y. Zhang. “Convergence of diffusion-drift many particle systems in probability under a sobolev norm.” *Springer Proceedings in Mathematics and Statistics*, vol. 162, 2016, pp. 195–223. *Scopus*, doi:10.1007/978-3-319-32144-8_10.
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Degond, Pierre, et al. “A NOTE ON PHASE TRANSITIONS FOR THE SMOLUCHOWSKI EQUATION WITH DIPOLAR POTENTIAL.” *Hyperbolic Problems: Theory, Numerics, Applications*, edited by F. Ancona et al., vol. 8, AMER INST MATHEMATICAL SCIENCES-AIMS, 2014, pp. 179–92.