Jian-Guo Liu
Professor of Physics
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, Li, L, Liu, J-G, and Xu, X. "A note on one-dimensional time fractional ODEs." Applied Mathematics Letters 83 (September 2018): 87-94. Full Text
Li, L, Liu, J-G, and Wang, L. "Cauchy problems for Keller–Segel type time–space fractional diffusion equation." Journal of Differential Equations 265.3 (August 2018): 1044-1096. Full Text
Liu, JG, Tang, M, Wang, L, and Zhou, Z. "An accurate front capturing scheme for tumor growth models with a free boundary limit." Journal of Computational Physics 364 (July 1, 2018): 73-94. Full Text
Chen, K, Li, Q, and Liu, J-G. "Online learning in optical tomography: a stochastic approach." Inverse Problems 34.7 (July 1, 2018): 075010-075010. Full Text
Liu, J-G, and Xu, X. "Partial regularity of weak solutions to a PDE system with cubic nonlinearity (Accepted)." JOURNAL OF DIFFERENTIAL EQUATIONS 264.8 (April 15, 2018): 5489-5526. Full Text
Li, L, and Liu, J-G. "p -Euler equations and p -Navier–Stokes equations." Journal of Differential Equations 264.7 (April 2018): 4707-4748. Full Text
Gao, Y, Liu, J-G, 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 2018). Full Text
Liu, J-G, and Xu, X. "Partial regularity of weak solutions to a PDE system with cubic nonlinearity." Journal of Differential Equations 264.8 (April 2018): 5489-5526. 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, J-G. "SOME COMPACTNESS CRITERIA FOR WEAK SOLUTIONS OF TIME FRACTIONAL PDEs." Siam Journal on Mathematical Analysis 50.4 (January 1, 2018): 3963-3995. (Academic Article) Full Text
Pages
Liu, JG, and Zhang, Y. "Convergence of diffusion-drift many particle systems in probability under a sobolev norm." January 1, 2016. Full Text
Degond, P, Frouvelle, A, and Liu, J-G. "A NOTE ON PHASE TRANSITIONS FOR THE SMOLUCHOWSKI EQUATION WITH DIPOLAR POTENTIAL." 2014.