# Jian-Guo Liu

- Professor of Mathematics

**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

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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Li, L, and Liu, JG. "p-Euler equations and p-Navier-Stokes equations (Accepted)." *Journal of Differential Equations* (January 1, 2018).
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Li, L, Liu, J-G, and Lu, J. "Fractional Stochastic Differential Equations Satisfying Fluctuation-Dissipation Theorem." *Journal of Statistical Physics* 169.2 (October 2017): 316-339.
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Liu, J-G, Ma, Z, and Zhou, Z. "Explicit and Implicit TVD Schemes for Conservation Laws with Caputo Derivatives." *Journal of Scientific Computing* 72.1 (July 2017): 291-313.
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Gao, Y, Ji, H, Liu, J-G, and Witelski, TP. "Global existence of solutions to a tear film model with locally elevated evaporation rates." *Physica D: Nonlinear Phenomena* 350 (July 2017): 13-25.
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Gao, Y, Liu, J-G, and Lu, J. "Continuum Limit of a Mesoscopic Model with Elasticity of Step Motion on Vicinal Surfaces." *Journal of Nonlinear Science* 27.3 (June 2017): 873-926.
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Degond, P, Liu, J-G, and Pego, RL. "Coagulation–Fragmentation Model for Animal Group-Size Statistics." *Journal of Nonlinear Science* 27.2 (April 2017): 379-424.
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Huang, H, and Liu, J-G. "Error estimate of a random particle blob method for the Keller-Segel equation." *Mathematics of Computation* 86.308 (February 15, 2017): 2719-2744.
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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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## 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 »