# 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

Jin, Shi, et al. “Uniform spectral convergence of the stochastic Galerkin method for the linear transport equations with random inputs in diffusive regime and a micro–macro decomposition-based asymptotic-preserving method.” *Research in the Mathematical Sciences*, vol. 4, no. 1, Springer Science and Business Media LLC, Dec. 2017. *Crossref*, doi:10.1186/s40687-017-0105-1.
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Li, L., et al. “Fractional Stochastic Differential Equations Satisfying Fluctuation-Dissipation Theorem.” *Journal of Statistical Physics*, vol. 169, no. 2, Oct. 2017, pp. 316–39. *Scopus*, doi:10.1007/s10955-017-1866-z.
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Liu, J. G., et al. “Explicit and Implicit TVD Schemes for Conservation Laws with Caputo Derivatives.” *Journal of Scientific Computing*, vol. 72, no. 1, July 2017, pp. 291–313. *Scopus*, doi:10.1007/s10915-017-0356-4.
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Gao, Y., et al. “Global existence of solutions to a tear film model with locally elevated evaporation rates.” *Physica D: Nonlinear Phenomena*, vol. 350, July 2017, pp. 13–25. *Scopus*, doi:10.1016/j.physd.2017.03.005.
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Liu, J. G., and J. Wang. “Global existence for a thin film equation with subcritical mass.” *Discrete and Continuous Dynamical Systems Series B*, vol. 22, no. 4, June 2017, pp. 1461–92. *Scopus*, doi:10.3934/dcdsb.2017070.
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Gao, Y., et al. “Continuum Limit of a Mesoscopic Model with Elasticity of Step Motion on Vicinal Surfaces.” *Journal of Nonlinear Science*, vol. 27, no. 3, June 2017, pp. 873–926. *Scopus*, doi:10.1007/s00332-016-9354-1.
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Degond, P., et al. “Coagulation–Fragmentation Model for Animal Group-Size Statistics.” *Journal of Nonlinear Science*, vol. 27, no. 2, Apr. 2017, pp. 379–424. *Scopus*, doi:10.1007/s00332-016-9336-3.
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Cong, W., and J. G. Liu. “Uniform L∞ boundedness for a degenerate parabolic-parabolic Keller-Segel model.” *Discrete and Continuous Dynamical Systems Series B*, vol. 22, no. 2, Mar. 2017, pp. 307–38. *Scopus*, doi:10.3934/dcdsb.2017015.
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Liu, J. G., and J. Wang. “A generalized Sz. Nagy inequality in higher dimensions and the critical thin film equation.” *Nonlinearity*, vol. 30, no. 1, Jan. 2017, pp. 35–60. *Scopus*, doi:10.1088/0951-7715/30/1/35.
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Degond, P., et al. “Continuum dynamics of the intention field under weakly cohesive social interaction.” *Mathematical Models and Methods in Applied Sciences*, vol. 27, no. 1, Jan. 2017, pp. 159–82. *Scopus*, doi:10.1142/S021820251740005X.
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