# Jian-Guo Liu

## Professor of Physics

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

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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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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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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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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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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## Pages

Liu, JG, and Zhang, Y. "Convergence of diffusion-drift many particle systems in probability under a sobolev norm." January 1, 2016. Full Text