# 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

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.
Full Text

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.
Full Text

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.
Full Text

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.
Full Text

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.
Full Text

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.
Full Text

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.
Full Text

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.
Full Text

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.
Full Text

Li, L, and Liu, J-G. "p -Euler equations and p -Navier–Stokes equations." *Journal of Differential Equations* 264.7 (April 2018): 4707-4748.
Full Text

## 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.