# 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
##### Education & Training
• Ph.D., University of California at Los Angeles 1990

• M.S., Fudan University (China) 1985

• B.S., Fudan University (China) 1982

Liu, J-G, and Xu, X. "Analytical Validation of a Continuum Model for the Evolution of a Crystal Surface in Multiple Space Dimensions." SIAM Journal on Mathematical Analysis 49.3 (January 2017): 2220-2245. Full Text

Degond, P, Herty, M, and Liu, J-G. "Mean-field games and model predictive control." Communications in Mathematical Sciences 15.5 (2017): 1403-1422. Full Text

Liu, J-G, and Wang, J. "A generalized Sz. Nagy inequality in higher dimensions and the critical thin film equation." Nonlinearity 30.1 (January 1, 2017): 35-60. Full Text

Degond, P, Liu, J-G, Merino-Aceituno, S, and Tardiveau, T. "Continuum dynamics of the intention field under weakly cohesive social interaction." Mathematical Models and Methods in Applied Sciences 27.01 (January 2017): 159-182. Full Text

Liu, J-G, and Cong, W. "Uniform $L^{\infty}$ boundedness for a degenerate parabolic-parabolic Keller-Segel model." Discrete and Continuous Dynamical Systems - Series B 22.2 (December 2016): 307-338. Full Text

Huang, H, and Liu, J-G. "A note on Monge–Ampère Keller–Segel equation." Applied Mathematics Letters 61 (November 2016): 26-34. Full Text

Huang, H, and Liu, J-G. "Error estimates of the aggregation-diffusion splitting algorithms for the Keller-Segel equations." Discrete and Continuous Dynamical Systems - Series B 21.10 (November 2016): 3463-3478. Full Text

Liu, J-G, and Huang, H. "Well-posedness for the Keller-Segel equation with fractional Laplacian and the theory of propagation of chaos." Kinetic and Related Models 9.4 (September 2016): 715-748. Full Text

Liu, J-G, and Cong, W. "A degenerate $p$-Laplacian Keller-Segel model." Kinetic and Related Models 9.4 (September 2016): 687-714. Full Text

Liu, J-G, and Yang, R. "A random particle blob method for the Keller-Segel equation and convergence analysis." Mathematics of Computation 86.304 (May 17, 2016): 725-745. Full Text