# Jian-Guo Liu

### **Professor of Physics**

Professor of Mathematics (Joint)

Professor of Mathematics and Physics at Duke Kunshan University

Professor of Mathematics (Joint)

Professor of Mathematics and Physics at Duke Kunshan University

### 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

Feng, Y., et al. “Uniform-in-time weak error analysis for stochastic gradient descent algorithms via diffusion approximation.” *Communications in Mathematical Sciences*, vol. 18, no. 1, Jan. 2020, pp. 163–88. *Scopus*, doi:10.4310/CMS.2020.v18.n1.a7.
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Degond, P., et al. “A markov jump process modelling animal group size statistics.” *Communications in Mathematical Sciences*, vol. 18, no. 1, Jan. 2020, pp. 55–89. *Scopus*, doi:10.4310/CMS.2020.v18.n1.a3.
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Jin, S., et al. “Random Batch Methods (RBM) for interacting particle systems.” *Journal of Computational Physics*, vol. 400, Jan. 2020. *Scopus*, doi:10.1016/j.jcp.2019.108877.
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Li, L., et al. “On the mean field limit for Brownian particles with Coulomb interaction in 3D.” *Journal of Mathematical Physics*, vol. 60, no. 11, Nov. 2019. *Scopus*, doi:10.1063/1.5114854.
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Liu, J. G., and R. L. Pego. “On Local Singularities in Ideal Potential Flows with Free Surface.” *Chinese Annals of Mathematics. Series B*, vol. 40, no. 6, Nov. 2019, pp. 925–48. *Scopus*, doi:10.1007/s11401-019-0167-z.
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Liu, J. G., et al. “Well-posedness and derivative blow-up for a dispersionless regularized shallow water system.” *Nonlinearity*, vol. 32, no. 11, Oct. 2019, pp. 4346–76. *Scopus*, doi:10.1088/1361-6544/ab2cf1.
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Liu, J. G., et al. “Least action principles for incompressible flows and geodesics between shapes.” *Calculus of Variations and Partial Differential Equations*, vol. 58, no. 5, Oct. 2019. *Scopus*, doi:10.1007/s00526-019-1636-7.
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Lafata, Kyle J., et al. “An Exploratory Radiomics Approach to Quantifying Pulmonary Function in CT Images.” *Sci Rep*, vol. 9, no. 1, Aug. 2019, p. 11509. *Pubmed*, doi:10.1038/s41598-019-48023-5.
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Zhan, Qiwei, et al. “Complete-Q Model for Poro-Viscoelastic Media in Subsurface Sensing: Large-Scale Simulation With an Adaptive DG Algorithm.” *Ieee Transactions on Geoscience and Remote Sensing*, vol. 57, no. 7, Institute of Electrical and Electronics Engineers (IEEE), July 2019, pp. 4591–99. *Crossref*, doi:10.1109/tgrs.2019.2891691.
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Liu, J. G., et al. “Analysis and computation of some tumor growth models with nutrient: From cell density models to free boundary dynamics.” *Discrete and Continuous Dynamical Systems Series B*, vol. 24, no. 7, July 2019, pp. 3011–35. *Scopus*, doi:10.3934/dcdsb.2018297.
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## Pages

Frouvelle, A., and J. G. Liu. “Long-Time Dynamics for a Simple Aggregation Equation on the Sphere.” *Springer Proceedings in Mathematics and Statistics*, vol. 282, 2019, pp. 457–79. *Scopus*, doi:10.1007/978-3-030-15096-9_16.
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Liu, J. G., and Y. Zhang. “Convergence of diffusion-drift many particle systems in probability under a sobolev norm.” *Springer Proceedings in Mathematics and Statistics*, vol. 162, 2016, pp. 195–223. *Scopus*, doi:10.1007/978-3-319-32144-8_10.
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Degond, Pierre, et al. “A NOTE ON PHASE TRANSITIONS FOR THE SMOLUCHOWSKI EQUATION WITH DIPOLAR POTENTIAL.” *Hyperbolic Problems: Theory, Numerics, Applications*, edited by F. Ancona et al., vol. 8, AMER INST MATHEMATICAL SCIENCES-AIMS, 2014, pp. 179–92.