Jian-Guo Liu

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
Education & Training
  • Ph.D., University of California at Los Angeles 1990

  • M.S., Fudan University (China) 1985

  • B.S., Fudan University (China) 1982

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. Full Text

Li, L, and Liu, JG. "p-Euler equations and p-Navier–Stokes equations." Journal of Differential Equations 264.7 (April 5, 2018): 4707-4748. Full Text

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). Full Text

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. Full Text

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. Full Text

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. Full Text

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. Full Text

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. Full Text

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. Full Text

Gao, Y, and Liu, J-G. "The modified Camassa-Holm equation in Lagrangian coordinates." Discrete & Continuous Dynamical Systems B 23.6 (2018): 2545-2592. Full Text