# Jian-Guo Liu

- Professor of Physics
- Professor of Mathematics (Joint)

**External address:**285 Physics Bldg, Durham, NC 27708

**Internal office address:**Box 90320, Durham, NC 27708-0320

**Phone:**(919) 660-2500

### 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

Lafata, KJ, Hong, JC, Geng, R, Ackerson, BG, Liu, J-G, Zhou, Z, Torok, J, Kelsey, CR, and Yin, F-F. "Association of pre-treatment radiomic features with lung cancer recurrence following stereotactic body radiation therapy." *Physics in Medicine and Biology* 64.2 (January 8, 2019): 025007-null.
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Huang, H, Liu, JG, and Lu, J. "Learning interacting particle systems: Diffusion parameter estimation for aggregation equations." *Mathematical Models and Methods in Applied Sciences* 29.1 (January 1, 2019): 1-29.
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Gao, Y, Ji, H, Liu, JG, and Witelski, TP. "A vicinal surface model for epitaxial growth with logarithmic free energy." *Discrete and Continuous Dynamical Systems Series B* 23.10 (December 1, 2018): 4433-4453.
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Feng, Y, Li, L, Liu, JG, and Xu, X. "Continuous and discrete one dimensional autonomous fractional odes." *Discrete and Continuous Dynamical Systems Series B* 23.8 (October 1, 2018): 3109-3135.
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Feng, Y, Li, L, Liu, JG, and Xu, X. "A note on one-dimensional time fractional ODEs." *Applied Mathematics Letters* 83 (September 1, 2018): 87-94.
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Li, L, Liu, JG, and Wang, L. "Cauchy problems for Keller–Segel type time–space fractional diffusion equation." *Journal of Differential Equations* 265.3 (August 5, 2018): 1044-1096.
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Liu, J-G, Tang, M, Wang, L, and Zhou, Z. "An accurate front capturing scheme for tumor growth models with a free boundary limit." *Journal of Computational Physics* 364 (July 2018): 73-94.
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Chen, K, Li, Q, and Liu, J-G. "Online learning in optical tomography: a stochastic approach." *Inverse Problems* 34.7 (July 1, 2018): 075010-075010.
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Liu, JG, and Xu, X. "Partial regularity of weak solutions to a PDE system with cubic nonlinearity." *Journal of Differential Equations* 264.8 (April 15, 2018): 5489-5526.
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Liu, J-G, and Xu, X. "Partial regularity of weak solutions to a PDE system with cubic nonlinearity (Accepted)." *JOURNAL OF DIFFERENTIAL EQUATIONS* 264.8 (April 15, 2018): 5489-5526.
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## Pages

Liu, JG, and Zhang, Y. "Convergence of diffusion-drift many particle systems in probability under a sobolev norm." January 1, 2016. Full Text

Degond, P, Frouvelle, A, and Liu, J-G. "A NOTE ON PHASE TRANSITIONS FOR THE SMOLUCHOWSKI EQUATION WITH DIPOLAR POTENTIAL." 2014.

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"Sixty-five mathematical scientists from around the world have been named Fellows of the American Mathematical Society (AMS) for 2017, the program's fifth year", states Steve Ferruci, Senior Programs Coordinator of the AMS in a press release. Duke... read more »