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. Full Text
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. Full Text
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. Full Text
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. Full Text
Huang, H, and Liu, J-G. "A note on Monge–Ampère Keller–Segel equation." Applied Mathematics Letters 61 (November 2016): 26-34. Full Text
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. Full Text
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. Full Text
Liu, J-G, and Cong, W. "A degenerate $p$-Laplacian Keller-Segel model." Kinetic and Related Models 9.4 (September 2016): 687-714. Full Text
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. Full Text
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. Full Text
Pages
Liu, JG, and Zhang, Y. "Convergence of diffusion-drift many particle systems in probability under a sobolev norm." January 1, 2016. Full Text