# Jian-Guo Liu

- Professor of Physics
- Professor of Mathematics (Joint)

**External address:**285 Physics Bldg, Durham, NC 27708

**Internal office address:**Box 90320, Durham, NC 27708-0320

**Phone:**(919) 660-2500

Liu, JG, and Xu, X. "Partial regularity of weak solutions to a PDE system with cubic nonlinearity." *Journal of Differential Equations* 264.8 (April 15, 2018): 5489-5526.
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Li, L, and Liu, JG. "p-Euler equations and p-Navier–Stokes equations." *Journal of Differential Equations* 264.7 (April 5, 2018): 4707-4748.
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Gao, Y, Liu, JG, Lu, XY, and Xu, X. "Maximal monotone operator theory and its applications to thin film equation in epitaxial growth on vicinal surface." *Calculus of Variations and Partial Differential Equations* 57.2 (April 1, 2018).
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Li, L, and Liu, JG. "A note on deconvolution with completely monotone sequences and discrete fractional calculus." *Quarterly of Applied Mathematics* 76.1 (January 1, 2018): 189-198.
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Liu, JG, Wang, L, and Zhou, Z. "Positivity-preserving and asymptotic preserving method for 2D Keller-Segal equations." *Mathematics of Computation* 87.311 (January 1, 2018): 1165-1189.
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Gao, Y, Li, L, and Liu, JG. "A dispersive regularization for the modified camassa–holm equation." *Siam Journal on Mathematical Analysis* 50.3 (January 1, 2018): 2807-2838.
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Li, L, and Liu, JG. "A generalized definition of caputo derivatives and its application to fractional odes." *Siam Journal on Mathematical Analysis* 50.3 (January 1, 2018): 2867-2900.
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Feng, Y, Li, L, and Liu, JG. "Semigroups of stochastic gradient descent and online principal component analysis: Properties and diffusion approximations." *Communications in Mathematical Sciences* 16.3 (January 1, 2018): 777-789.
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Li, L, and Liu, JG. "Some compactness criteria for weak solutions of time fractional pdes." *Siam Journal on Mathematical Analysis* 50.4 (January 1, 2018): 3963-3995.
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Gao, Y, and Liu, J-G. "The modified Camassa-Holm equation in Lagrangian coordinates." *Discrete & Continuous Dynamical Systems B* 23.6 (2018): 2545-2592.
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