# 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

Liu, J. G., et al. “Self-similar Spreading in a Merging-Splitting Model of Animal Group Size.” *Journal of Statistical Physics*, vol. 175, no. 6, June 2019, pp. 1311–30. *Scopus*, doi:10.1007/s10955-019-02280-w.
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Liu, J. G., et al. “Asymmetry in crystal facet dynamics of homoepitaxy by a continuum model.” *Physica D: Nonlinear Phenomena*, vol. 393, June 2019, pp. 54–67. *Scopus*, doi:10.1016/j.physd.2019.01.004.
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Gao, Y., et al. “Patched peakon weak solutions of the modified Camassa–Holm equation.” *Physica D: Nonlinear Phenomena*, vol. 390, Mar. 2019, pp. 15–35. *Scopus*, doi:10.1016/j.physd.2018.10.005.
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Zhan, Qiwei, et al. “Green's function for anisotropic dispersive poroelastic media based on the Radon transform and eigenvector diagonalization.” *Proceedings. Mathematical, Physical, and Engineering Sciences*, vol. 475, no. 2221, Jan. 2019, p. 20180610. *Epmc*, doi:10.1098/rspa.2018.0610.
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Lafata, Kyle J., et al. “Association of pre-treatment radiomic features with lung cancer recurrence following stereotactic body radiation therapy.” *Phys Med Biol*, vol. 64, no. 2, Jan. 2019, p. 025007. *Pubmed*, doi:10.1088/1361-6560/aaf5a5.
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Li, Lei, et al. “A stochastic version of Stein Variational Gradient Descent for efficient sampling.” *Corr*, vol. abs/1902.03394, 2019.
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Liu, J. G., and R. M. Strain. “Global stability for solutions to the exponential PDE describing epitaxial growth.” *Interfaces and Free Boundaries*, vol. 21, no. 1, Jan. 2019, pp. 61–86. *Scopus*, doi:10.4171/IFB/417.
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Lafata, K., et al. “Data clustering based on Langevin annealing with a self-consistent potential.” *Quarterly of Applied Mathematics*, vol. 77, no. 3, Jan. 2019, pp. 591–613. *Scopus*, doi:10.1090/qam/1521.
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De Hoop, M. V., et al. “Plane-wave analysis of a hyperbolic system of equations with relaxation in ℝd.” *Communications in Mathematical Sciences*, vol. 17, no. 1, Jan. 2019, pp. 61–79. *Scopus*, doi:10.4310/cms.2019.v17.n1.a3.
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Liu, A., et al. “On the rate of convergence of empirical measure in ∞-Wasserstein distance for unbounded density function.” *Quarterly of Applied Mathematics*, vol. 77, no. 4, Jan. 2019, pp. 811–29. *Scopus*, doi:10.1090/qam/1541.
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