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Publications of Jian-Guo Liu    :chronological  alphabetical  combined  by type  bibtex listing:

reputed journal

  1. 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]
  2. 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]
  3. 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]
  4. 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]
  5. 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]
  6. 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]
  7. 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]
  8. 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]
  9. 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]
  10. 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]
  11. Gao, Y; Liu, J-G, Stochastic Chemical Reaction Systems in Biology, SIAM REVIEW, vol. 65 no. 2 (2023), pp. 593-+ [reputed journal]
  12. 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]
  13. 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]
  14. 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]
  15. 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]
  16. 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]
  17. 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]
  18. 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]
  19. 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]
  20. 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]
  21. 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]
  22. 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]
  23. 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]
  24. 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]
  25. 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]
  26. 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]
  27. 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]
  28. 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]
  29. 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]
  30. 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]
  31. 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]
  32. 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]
  33. 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]
  34. 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]
  35. 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]
  36. 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]
  37. 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]
  38. 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]
  39. 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]
  40. 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]
  41. 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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