# 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

Gao, Y, Li, L, and Liu, J-G. "A Dispersive Regularization for the Modified Camassa--Holm Equation." *Siam Journal on Mathematical Analysis* 50.3 (January 2018): 2807-2838.
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Li, L, and Liu, J-G. "A Generalized Definition of Caputo Derivatives and Its Application to Fractional ODEs." *Siam Journal on Mathematical Analysis* 50.3 (January 2018): 2867-2900.
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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, Wang, L, and Zhou, Z. "Positivity-preserving and asymptotic preserving method for 2D Keller-Segal equations." *Mathematics of Computation* 87.311 (September 19, 2017): 1165-1189.
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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* 87.311 (September 7, 2017): 1083-1126.
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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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