Math @ Duke
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reputed journal
- Feng, Y; Li, L; Liu, JG; Xu, X, EXISTENCE OF WEAK SOLUTIONS TO p-NAVIER-STOKES EQUATIONS,
Discrete and Continuous Dynamical Systems - Series B, vol. 29 no. 4
(April, 2024),
pp. 1868-1890, American Institute of Mathematical Sciences (AIMS) [doi] [abs]
[reputed journal]
- Gao, Y; Liu, J-G, Large Deviation Principle and Thermodynamic Limit of Chemical Master Equation via Nonlinear Semigroup,
Multiscale Modeling & Simulation, vol. 21 no. 4
(December, 2023),
pp. 1534-1569, Society for Industrial & Applied Mathematics (SIAM) [doi]
[reputed journal]
- Gao, Y; Liu, J-G, A Selection Principle for Weak KAM Solutions via Freidlin–Wentzell Large Deviation Principle of Invariant Measures,
SIAM Journal on Mathematical Analysis, vol. 55 no. 6
(December, 2023),
pp. 6457-6495, Society for Industrial & Applied Mathematics (SIAM) [doi]
[reputed journal]
- Qi, D; Liu, J-G, High-order moment closure models with random batch method for efficient computation of multiscale turbulent systems.,
Chaos (Woodbury, N.Y.), vol. 33 no. 10
(October, 2023),
pp. 103133 [doi] [abs]
[reputed journal]
- Wang, Y; Li, X; Konanur, M; Konkel, B; Seyferth, E; Brajer, N; Liu, J-G; Bashir, MR; Lafata, KJ, Towards optimal deep fusion of imaging and clinical data via a model-based description of fusion quality.,
Med Phys, vol. 50 no. 6
(June, 2023),
pp. 3526-3537 [doi] [abs]
[reputed journal]
- Gao, Y; Li, T; Li, X; Liu, JG, TRANSITION PATH THEORY FOR LANGEVIN DYNAMICS ON MANIFOLDS: OPTIMAL CONTROL AND DATA-DRIVEN SOLVER,
Multiscale Modeling and Simulation, vol. 21 no. 1
(March, 2023),
pp. 1-33, Society for Industrial & Applied Mathematics (SIAM) [doi] [abs]
[reputed journal]
- Dou, X; Liu, JG; Zhou, Z, A TUMOR GROWTH MODEL WITH AUTOPHAGY: THE REACTION-(CROSS-)DIFFUSION SYSTEM AND ITS FREE BOUNDARY LIMIT,
Discrete and Continuous Dynamical Systems - Series B, vol. 28 no. 3
(March, 2023),
pp. 1964-1992, American Institute of Mathematical Sciences (AIMS) [doi] [abs]
[reputed journal]
- Qi, D; Liu, J-G, A random batch method for efficient ensemble forecasts of multiscale turbulent systems.,
Chaos (Woodbury, N.Y.), vol. 33 no. 2
(February, 2023),
pp. 023113 [doi] [abs]
[reputed journal]
- Gao, Y; Liu, JG; Wu, N, Data-driven efficient solvers for Langevin dynamics on manifold in high dimensions,
Applied and Computational Harmonic Analysis, vol. 62
(January, 2023),
pp. 261-309 [doi] [abs]
[reputed journal]
- Gao, Y; Liu, JG, Random Walk Approximation for Irreversible Drift-Diffusion Process on Manifold: Ergodicity, Unconditional Stability and Convergence,
Communications in Computational Physics, vol. 34 no. 1
(January, 2023),
pp. 132-172 [doi] [abs]
[reputed journal]
- Gao, Y; Liu, J-G, Stochastic Chemical Reaction Systems in Biology,
SIAM REVIEW, vol. 65 no. 2
(2023),
pp. 593-+
[reputed journal]
- Gao, Y; Liu, J-G; Li, W, Master equations for finite state mean field games with nonlinear activations,
Discrete and Continuous Dynamical Systems - B
(2023), American Institute of Mathematical Sciences (AIMS) [doi]
[reputed journal]
- Craig, K; Liu, JG; Lu, J; Marzuola, JL; Wang, L, A proximal-gradient algorithm for crystal surface evolution,
Numerische Mathematik, vol. 152 no. 3
(November, 2022),
pp. 631-662 [doi] [abs]
[reputed journal]
- Li, L; Liu, JG; Tang, Y, Some Random Batch Particle Methods for the Poisson-Nernst-Planck and Poisson-Boltzmann Equations,
Communications in Computational Physics, vol. 32 no. 1
(July, 2022),
pp. 41-82, Global Science Press [doi] [abs]
[reputed journal]
- Degond, P; Frouvelle, A; Liu, JG, FROM KINETIC TO FLUID MODELS OF LIQUID CRYSTALS BY THE MOMENT METHOD,
Kinetic and Related Models, vol. 15 no. 3
(June, 2022),
pp. 417-465, American Institute of Mathematical Sciences (AIMS) [doi] [abs]
[reputed journal]
- Liu, JG; Zhang, Z, EXISTENCE of GLOBAL WEAK SOLUTIONS of p-NAVIER-STOKES EQUATIONS,
Discrete and Continuous Dynamical Systems - Series B, vol. 27 no. 1
(January, 2022),
pp. 469-486, American Institute of Mathematical Sciences (AIMS) [doi] [abs]
[reputed journal]
- Gao, Y; Liu, JG, PROJECTION METHOD FOR DROPLET DYNAMICS ON GROOVE-TEXTURED SURFACE WITH MERGING AND SPLITTING,
SIAM Journal on Scientific Computing, vol. 44 no. 2
(January, 2022),
pp. B310-B338 [doi] [abs]
[reputed journal]
- Li, L; Liu, JG; Liu, Z; Yang, Y; Zhou, Z, On Energy Stable Runge-Kutta Methods for the Water Wave Equation and its Simplified Non-Local Hyperbolic Model,
Communications in Computational Physics, vol. 32 no. 1
(January, 2022),
pp. 222-258, Global Science Press [doi] [abs]
[reputed journal]
- Gao, Y; Liu, JG, Surfactant-dependent contact line dynamics and droplet spreading on textured substrates: Derivations and computations,
Physica D: Nonlinear Phenomena, vol. 428
(December, 2021) [doi] [abs]
[reputed journal]
- Lafata, KJ; Chang, Y; Wang, C; Mowery, YM; Vergalasova, I; Niedzwiecki, D; Yoo, DS; Liu, J-G; Brizel, DM; Yin, F-F, Intrinsic radiomic expression patterns after 20 Gy demonstrate early metabolic response of oropharyngeal cancers.,
Med Phys, vol. 48 no. 7
(July, 2021),
pp. 3767-3777 [doi] [abs]
[reputed journal]
- Hu, J; Liu, JG; Xie, Y; Zhou, Z, A structure preserving numerical scheme for Fokker-Planck equations of neuron networks: Numerical analysis and exploration,
Journal of Computational Physics, vol. 433
(May, 2021) [doi] [abs]
[reputed journal]
- Li, Q; Liu, JG; Shu, R, Sensitivity analysis of burgers' equation with shocks,
SIAM-ASA Journal on Uncertainty Quantification, vol. 8 no. 4
(January, 2021),
pp. 1493-1521, Society for Industrial & Applied Mathematics (SIAM) [doi] [abs]
[reputed journal]
- Liu, JG; Xu, X, Existence and incompressible limit of a tissue growth model with autophagy,
SIAM Journal on Mathematical Analysis, vol. 53 no. 5
(January, 2021),
pp. 5215-5242 [doi] [abs]
[reputed journal]
- Gao, Y; Liu, JG, Gradient flow formulation and second order numerical method for motion by mean curvature and contact line dynamics on rough surface,
Interfaces and Free Boundaries, vol. 23 no. 1
(January, 2021),
pp. 103-158 [doi] [abs]
[reputed journal]
- Liu, JG; Wang, J; Zhao, Y; Zhou, Z, Field model for complex ionic fluids: Analytical properties and numerical investigation,
Communications in Computational Physics, vol. 30 no. 3
(January, 2021),
pp. 874-902 [doi] [abs]
[reputed journal]
- Gao, Y; Jin, G; Liu, J-G, Inbetweening auto-animation via Fokker-Planck dynamics and thresholding,
Inverse Problems & Imaging, vol. 15 no. 5
(2021),
pp. 843-843, American Institute of Mathematical Sciences (AIMS) [doi] [abs]
[reputed journal]
- Gao, Y; Liu, JG; Lu, J; Marzuola, JL, Analysis of a continuum theory for broken bond crystal surface models with evaporation and deposition effects,
Nonlinearity, vol. 33 no. 8
(August, 2020),
pp. 3816-3845 [doi] [abs]
[reputed journal]
- Li, L; Liu, JG, Large time behaviors of upwind schemes and B-schemes for fokker-planck equations on R by jump processes,
Mathematics of Computation, vol. 89 no. 325
(January, 2020),
pp. 2283-2320, American Mathematical Society (AMS) [doi] [abs]
[reputed journal]
- LIU, JG; WANG, J, GLOBAL EXISTENCE FOR NERNST-PLANCK-NAVIER-STOKES SYSTEM IN RN,
Communications in Mathematical Sciences, vol. 18 no. 6
(January, 2020),
pp. 1743-1754 [doi] [abs]
[reputed journal]
- LIU, JIANGUO; XU, X, A CLASS OF FUNCTIONAL INEQUALITIES AND THEIR APPLICATIONS TO FOURTH-ORDER NONLINEAR PARABOLIC EQUATIONS,
Communications in Mathematical Sciences, vol. 18 no. 7
(January, 2020),
pp. 1911-1948, International Press of Boston [doi] [abs]
[reputed journal]
- Feng, Y; Gao, T; Li, L; Liu, JG; Lu, Y, Uniform-in-time weak error analysis for stochastic gradient descent algorithms via diffusion approximation,
Communications in Mathematical Sciences, vol. 18 no. 1
(January, 2020),
pp. 163-188 [doi] [abs]
[reputed journal]
- Degond, P; Engel, M; Liu, JG; Pego, RL, A markov jump process modelling animal group size statistics,
Communications in Mathematical Sciences, vol. 18 no. 1
(January, 2020),
pp. 55-89 [doi] [abs]
[reputed journal]
- Gao, Y; Liu, JG; Luo, T; Xiang, Y, Revisit of the peierls-nabarro model for edge dislocations in Hilbert space,
Discrete and Continuous Dynamical Systems - Series B, vol. 22 no. 11
(January, 2020) [doi] [abs]
[reputed journal]
- Li, L; Li, Y; Liu, JG; Liu, Z; Lu, J, A stochastic version of stein variational gradient descent for efficient sampling,
Communications in Applied Mathematics and Computational Science, vol. 15 no. 1
(January, 2020),
pp. 37-63, Mathematical Sciences Publishers [doi] [abs]
[reputed journal]
- Gao, Y; Liu, J-G, Long time behavior of dynamic solution to Peierls–Nabarro dislocation model,
Methods and Applications of Analysis, vol. 27 no. 2
(2020),
pp. 161-198, International Press of Boston [doi]
[reputed journal]
- Gao, Y; Liu, J-G, A note on parametric Bayesian inference via gradient flows,
Annals of Mathematical Sciences and Applications, vol. 5 no. 2
(2020),
pp. 261-282, International Press of Boston [doi]
[reputed journal]
- Liu, JG; Pego, RL, On Local Singularities in Ideal Potential Flows with Free Surface,
Chinese Annals of Mathematics. Series B, vol. 40 no. 6
(November, 2019),
pp. 925-948 [doi] [abs]
[reputed journal]
- Frouvelle, A; Liu, JG, Long-Time Dynamics for a Simple Aggregation Equation on the Sphere,
Springer Proceedings in Mathematics and Statistics, vol. 282
(January, 2019),
pp. 457-479, ISBN 9783030150952 [doi] [abs]
[reputed journal]
- Liu, A; Liu, JG; Lu, Y, On the rate of convergence of empirical measure in ∞-Wasserstein distance for unbounded density function,
Quarterly of Applied Mathematics, vol. 77 no. 4
(January, 2019),
pp. 811-829 [doi] [abs]
[reputed journal]
- Lafata, K; Zhou, Z; Liu, JG; Yin, FF, Data clustering based on Langevin annealing with a self-consistent potential,
Quarterly of Applied Mathematics, vol. 77 no. 3
(January, 2019),
pp. 591-613 [doi] [abs]
[reputed journal]
- Hu, W; Li, CJ; Li, L; Liu, J-G, On the diffusion approximation of nonconvex stochastic gradient descent,
Annals of Mathematical Sciences and Applications, vol. 4 no. 1
(2019),
pp. 3-32, International Press of Boston [doi]
[reputed journal]
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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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