# 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

Collaborative Research: Kinetic Models of Aggregation and Dispersion awarded by National Science Foundation (Principal Investigator). 2015 to 2018

Efficient Numerical Methods for Viscous Incompressible Flows awarded by National Science Foundation (Principal Investigator). 2009 to 2012

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.
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Huang, H, and Liu, J-G. "A note on Monge–Ampère Keller–Segel equation." *Applied Mathematics Letters* 61 (November 2016): 26-34.
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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.
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Liu, J-G, and Cong, W. "A degenerate $p$-Laplacian Keller-Segel model." *Kinetic and Related Models* 9.4 (September 2016): 687-714.
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Liu, J-G, and Wang, J. "A Note on L ∞ $L^{\infty}$ -Bound and Uniqueness to a Degenerate Keller-Segel Model." *Acta Applicandae Mathematicae* 142.1 (April 2016): 173-188.
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Herschlag, G, Liu, J-G, and Layton, AT. "Fluid extraction across pumping and permeable walls in the viscous limit." *Physics of Fluids* 28.4 (April 2016): 041902-041902.
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Liu, J-G, and Pego, RL. "On generating functions of Hausdorff moment sequences." *Transactions of the American Mathematical Society* 368.12 (February 2, 2016): 8499-8518.
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Liu, J-G, and Xu, X. "Existence Theorems for a Multidimensional Crystal Surface Model." *SIAM Journal on Mathematical Analysis* 48.6 (January 2016): 3667-3687.
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Xue, Y, Wang, C, and Liu, J-G. "Simple Finite Element Numerical Simulation of Incompressible Flow Over Non-rectangular Domains and the Super-Convergence Analysis." *Journal of Scientific Computing* 65.3 (December 2015): 1189-1216.
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Chertock, A, Liu, J-G, and Pendleton, T. "Elastic collisions among peakon solutions for the Camassa–Holm equation." *Applied Numerical Mathematics* 93 (July 2015): 30-46.
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Liu, JG, and Zhang, Y. "Convergence of diffusion-drift many particle systems in probability under a sobolev norm." January 1, 2016. Full Text

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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 »