# 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

Liu, J-G, and Wang, J. "Global existence for a thin film equation with subcritical mass." *Discrete and Continuous Dynamical Systems - Series B* 22.4 (February 2017): 1461-1492.
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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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Li, L, and Liu, J-G. "A note on deconvolution with completely monotone sequences and discrete fractional calculus." *Quarterly of Applied Mathematics* (2017): 1-1.
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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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Gao, Y, Ji, H, Liu, J-G, and P. Witelski, T. "A vicinal surface model for epitaxial growth with logarithmic free energy." *Discrete & Continuous Dynamical Systems B* 22.11 (2017): 1-21.
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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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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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