Math @ Duke
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high impact paper
- Gao, Y; Liu, JG, Revisit of Macroscopic Dynamics for Some Non-equilibrium Chemical Reactions from a Hamiltonian Viewpoint,
Journal of Statistical Physics, vol. 189 no. 2
(November, 2022), Springer Science and Business Media LLC [doi] [abs]
[high impact paper]
- Liu, JG; Wang, Z; Zhang, Y; Zhou, Z, RIGOROUS JUSTIFICATION OF THE FOKKER-PLANCK EQUATIONS OF NEURAL NETWORKS BASED ON AN ITERATION PERSPECTIVE,
SIAM Journal on Mathematical Analysis, vol. 54 no. 1
(January, 2022),
pp. 1270-1312, Society for Industrial & Applied Mathematics (SIAM) [doi] [abs]
[high impact paper]
- Gao, Y; Liu, JG; Liu, Z, Existence and rigidity of the vectorial peierls-nabarro model for dislocations in high dimensions,
Nonlinearity, vol. 34 no. 11
(November, 2021),
pp. 7778-7828 [doi] [abs]
[high impact paper]
- Huang, H; Liu, JG; Pickl, P, On the Mean-Field Limit for the Vlasov–Poisson–Fokker–Planck System,
Journal of Statistical Physics, vol. 181 no. 5
(December, 2020),
pp. 1915-1965 [doi] [abs] [author's comments]
[high impact paper]
- Jin, S; Li, L; Liu, JG, Random Batch Methods (RBM) for interacting particle systems,
Journal of Computational Physics, vol. 400
(January, 2020) [doi] [abs] [author's comments]
[high impact paper]
- Li, L; Liu, JG; Yu, P, On the mean field limit for Brownian particles with Coulomb interaction in 3D,
Journal of Mathematical Physics, vol. 60 no. 11
(November, 2019) [doi] [abs]
[high impact paper]
- Liu, JG; Pego, RL; Pu, Y, Well-posedness and derivative blow-up for a dispersionless regularized shallow water system,
Nonlinearity, vol. 32 no. 11
(October, 2019),
pp. 4346-4376 [doi] [abs]
[high impact paper]
- Liu, JG; Pego, RL; Slepčev, D, Least action principles for incompressible flows and geodesics between shapes,
Calculus of Variations and Partial Differential Equations, vol. 58 no. 5
(October, 2019) [doi] [abs]
[high impact paper]
- Lafata, KJ; Zhou, Z; Liu, J-G; Hong, J; Kelsey, CR; Yin, F-F, An Exploratory Radiomics Approach to Quantifying Pulmonary Function in CT Images.,
Sci Rep, vol. 9 no. 1
(August, 2019),
pp. 11509 [doi] [abs]
[high impact paper]
- Liu, JG; Tang, M; Wang, L; Zhou, Z, Analysis and computation of some tumor growth models with nutrient: From cell density models to free boundary dynamics,
Discrete and Continuous Dynamical Systems - Series B, vol. 24 no. 7
(July, 2019),
pp. 3011-3035 [doi] [abs]
[high impact paper]
- Zhan, Q; Zhuang, M; Zhou, Z; Liu, JG; Liu, QH, Complete-Q Model for Poro-Viscoelastic Media in Subsurface Sensing: Large-Scale Simulation with an Adaptive DG Algorithm,
IEEE Transactions on Geoscience and Remote Sensing, vol. 57 no. 7
(July, 2019),
pp. 4591-4599, Institute of Electrical and Electronics Engineers (IEEE) [doi] [abs]
[high impact paper]
- Liu, JG; Niethammer, B; Pego, RL, Self-similar Spreading in a Merging-Splitting Model of Animal Group Size,
Journal of Statistical Physics, vol. 175 no. 6
(June, 2019),
pp. 1311-1330 [doi] [abs]
[high impact paper]
- Liu, JG; Lu, J; Margetis, D; Marzuola, JL, Asymmetry in crystal facet dynamics of homoepitaxy by a continuum model,
Physica D: Nonlinear Phenomena, vol. 393
(June, 2019),
pp. 54-67 [doi] [abs]
[high impact paper]
- Gao, Y; Li, L; Liu, JG, Patched peakon weak solutions of the modified Camassa–Holm equation,
Physica D: Nonlinear Phenomena, vol. 390
(March, 2019),
pp. 15-35 [doi] [abs]
[high impact paper]
- Lafata, KJ; Hong, JC; Geng, R; Ackerson, BG; Liu, J-G; Zhou, Z; Torok, J; Kelsey, CR; Yin, F-F, Association of pre-treatment radiomic features with lung cancer recurrence following stereotactic body radiation therapy.,
Phys Med Biol, vol. 64 no. 2
(January, 2019),
pp. 025007 [doi] [abs]
[high impact paper]
- Zhan, Q; Zhuang, M; Fang, Y; Liu, J-G; Liu, QH, 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
(January, 2019),
pp. 20180610 [doi] [abs]
[high impact paper]
- Huang, H; Liu, JG; Lu, J, Learning interacting particle systems: Diffusion parameter estimation for aggregation equations,
Mathematical Models and Methods in Applied Sciences, vol. 29 no. 1
(January, 2019),
pp. 1-29 [doi] [abs]
[high impact paper]
- De Hoop, MV; Liu, JG; Markowich, PA; Ussembayev, NS, Plane-wave analysis of a hyperbolic system of equations with relaxation in ℝd,
Communications in Mathematical Sciences, vol. 17 no. 1
(January, 2019),
pp. 61-79 [doi] [abs]
[high impact paper]
- Li, L; Liu, JG, A discretization of Caputo derivatives with application to time fractional SDEs and gradient flows,
SIAM Journal on Numerical Analysis, vol. 57 no. 5
(January, 2019),
pp. 2095-2120 [doi] [abs]
[high impact paper]
- Liu, JG; Strain, RM, Global stability for solutions to the exponential PDE describing epitaxial growth,
Interfaces and Free Boundaries, vol. 21 no. 1
(January, 2019),
pp. 61-86 [doi] [abs]
[high impact paper]
- Gao, Y; Liu, JG; Lu, XY, Gradient flow approach to an exponential thin film equation: Global existence and latent singularity,
ESAIM - Control, Optimisation and Calculus of Variations, vol. 25
(January, 2019),
pp. 49-49, E D P SCIENCES [doi] [abs]
[high impact paper]
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dept@math.duke.edu
ph: 919.660.2800
fax: 919.660.2821
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Mathematics Department
Duke University, Box 90320
Durham, NC 27708-0320
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