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Mathematics : All Publications (in the database)

List most recent publications in the database.    :chronological  alphabetical  combined  bibtex listing:

high impact paper

  1. 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]
  2. 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]
  3. 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]
  4. 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]
  5. 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]
  6. 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]
  7. 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]
  8. 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]
  9. 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]
  10. 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]
  11. 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]
  12. 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]
  13. 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]
  14. 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]
  15. 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]
  16. 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]
  17. 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]
  18. 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]
  19. 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]
  20. 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]
  21. 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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Mathematics Department
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Durham, NC 27708-0320