# 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

Coquel, F, Jin, S, Liu, J-G, and Wang, L. "Entropic sub-cell shock capturing schemes via Jin-Xin relaxation and Glimm front sampling for scalar conservation laws." *Mathematics of Computation* (2017): 1-1.
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Liu, J-G, Wang, L, and Zhou, Z. "Positivity-preserving and asymptotic preserving method for 2D Keller-Segal equations." *Mathematics of Computation* (2017): 1-1.
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Huang, H, and Liu, J-G. "Discrete-in-time random particle blob method for the Keller–Segel equation and convergence analysis." *Communications in Mathematical Sciences* 15.7 (2017): 1821-1842.
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Gao, Y, Liu, J-G, and Lu, J. "Weak Solution of a Continuum Model For Vicinal Surface in The Attachment-Detachment-Limited Regime." *SIAM Journal on Mathematical Analysis* 49.3 (January 2017): 1705-1731.
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Gao, Y, and Liu, J-G. "Global Convergence of a Sticky Particle Method for the Modified Camassa--Holm Equation." *SIAM Journal on Mathematical Analysis* 49.2 (January 2017): 1267-1294.
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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.
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Degond, P, Herty, M, and Liu, J-G. "Mean-field games and model predictive control." *Communications in Mathematical Sciences* 15.5 (2017): 1403-1422.
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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.
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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.
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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.
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