Publications--Refereed Journal Articles:

• A game-theoretic perspective of deep neural networks (with C. Ren, Z. Wu and D. Xu), Theoretical Computer Science, 939, 48-62 (2023).

• Adaptive influence maximization under fixed observation time-step (with Y. Zhang, S. Chen and Z. Zhang), Theoretical Computer Science, 928, 104-114 (2022).

• Global well-posedness and large time behavior to 2D Boussinesq equations for MHD convection (with S.S. Wang and J. Liu), Methods and Applications of Analysis, 29, no. 1, 31-56 (2022).

• Initial-boundary value problem for 2D magneto-micropolar equations with zero angular viscosity (with S.S. Wang and J. Liu), Zeitschrift fur angewandte Mathematik und Physik, 72, no. 3, 103 (2021).

• Random polygons and optimal extrapolation estimates of pi (with S.S. Wang and J. Liu), Statistics, Optimization and Information Computing, 9, 241-249 (2021).

• Boundary layer analysis for a 2-D Keller-Segel model (with L. Meng and S. Wang), Open Mathematics, 18, 1895-1914 (2020).

• On the vanishing viscosity limit for a 3-D system arising from the Keller-Segel model (with L. Meng and S. Wang), Math. Meth. Appl. Sci., 43, 920-938 (2020).

• Boundary layers associated with the 3-D Boussinesq system for Rayleigh-Benard convection (with X. Fan, S. Wang and W. Wang), Applicable Analysis, 99, 2026-2044 (2020).

• Initial-boundary layer associated with the 3-D Boussinesq system for Rayleigh-Benard convection (with X. Fan and S. Wang), Electronic Journal of Differential Equations, 2020, no. 31, pp. 1-20 (2020).

• Random polygons and estimations of pi (with L. Meng and Y. Li), Open Math., 17, 575-581 (2019).

• Vanishing alpha and viscosity limits of second grade fluid equations for an expanding domain in the plane (with J. Liu), Nonlinear Anal. Real World Appl., 49, 355-367 (2019).

• Random cyclic polygons from Dirichlet distributions and approximations of pi (with S.S. Wang), Statistics and Probability Letters, 140, 84-90 (2018).

• Initial layer problem of the Boussinesq system for Rayleigh-Benard convection with infinite Prandtl number limit (with X. Fan, S. Wang and M. Liu), Open Math., 16, 1145-1160 (2018).

• Global regularity for a model of Navier-Stokes equations with logarithmic sub-dissipation (with S. Shao and S. Wang), Kinetic and Related Models, 11, no. 1, 179-190 (2018).

• Mixed layer problem of a three-dimensional drift-diffusion model for semiconductors (with C. Liu and S. Wang), Journal of Partial Differential Equations, 30, no. 3, 264-280 (2017).

• Global regularity for a model of inhomogeneous three-dimensional Navier-Stokes equations (with S. Shao, Y.-L. Ge and S. Wang), Journal of Beijing University of Technology, 43, no. 2, 320-326 (2017).

• On the local C^{1,alpha} solution of ideal magneto-hydrodynamical equations (with S. Shao, S. Wang and Y.-L. Ge), Discrete and Continuous Dynamical Systems, Series A, 37, no. 4, 2103-2113 (2017).

• Global existence for the 2D Navier-Stokes flow in the exterior of a moving or rotating obstacle (with S. Shao, S. Wang and B. Han), Kinetic and Related Models, 9, no. 4, 767-776 (2016).

• An approximation algorithm for the balanced Max-3-Uncut problem using complex semidefinite programming rounding (with C. Wu, D. Xu and D. Du), Journal of Combinatorial Optimization, 32, no. 4, 1017-1035 (2016).

• Random circumscribing polygons and approximations of pi, Statistics and Probability Letters, 106, 52-57 (2015).

• Quasi-neutral limit of the full Navier-Stokes-Fourier-Poisson system (with Y. Li and Q. C. Ju), Journal of Differential Equations, 258, no. 11, 3661-3687 (2015).

• Approximation algorithms for the priority facility location problem with submodular penalties (with Y. Wang, F. Wang and D. Xu), Operations Research Transactions, 19, no. 2, 1-14 (2015).

• The warehouse-retailer network design game (with G. Li, J. Shao and D. Xu), Journal of Industrial and Management Optimization, 11, no. 1, 291-305 (2015).

• A primal-dual approximation algorithm for a stochastic fault-tolerant facility location problem (with D. Xu, W. Wan and C. Wu), Operations Research Transactions, 18, no. 2, 17-28 (2014).

• Extrapolation methods for random approximations of pi, Journal of Numerical Mathematics and Stochastics, 5, 81-92 (2013).

• Maximal separation on 2-D arrays (with J. Tao), Ars Combinatoria, vol. 106, 435-447 (2012).

• Basis arrays and successive packing for M-D interleaving (with X. M. Zhang, Y. Q. Shi and S. Basu), Multidimensional Systems and Signal Processing, 22, 237-257 (2011).

• Two-dimensional array coloring with many colors (with Solomon Golomb), IEEE Transactions on Information Theory, vol. 54, no. 9, 4391-4394 (2008).

• Optimal interleaving schemes for correcting two-dimensional cluster errors (with Solomon W. Golomb), Discrete Applied Mathematics, 155, 1200-1212 (2007).

• Optimal interleaving schemes for two-dimensional arrays (with Solomon W. Golomb and Robert Mena), IEEE Transactions on Information Theory, vol. 52, no. 9, 4223-4229 (2006).

• Optimal 2-D interleaving with Latin rectangles (with Solomon W. Golomb), IEEE Transactions on Information Theory, vol. 51, no. 3, 1179-1182 (2005).

• Effects of small viscosity and far field boundary conditions for hyperbolic systems (with Huer-Er Lin and Jian-Guo Liu), Communications on Pure and Applied Analysis, 3, 267-290 (2004).

• Far field boundary condition for convection diffusion equation at zero viscosity limit (with Jian-Guo Liu), Quarterly of Applied Mathematics, 62, 27-52 (2004).

• Boundary conditions and boundary layers for a multi-dimensional relaxation model, Journal of Differential Equations, 197, 85-117 (2004).

• Initial boundary value problem for a class of linear relaxation systems in arbitrary space dimensions, Journal of Differential Equations, 183, 462-496 (2002).

• Initial-boundary value problem to systems of conservation laws with relaxation (with Zhouping Xin), Quarterly of Applied Mathematics, 60, 251-281 (2002).

• Stiff well-posedness and asymptotic convergence for a class of linear relaxation systems in a quarter plane (with Zhouping Xin), Journal of Differential Equations, 167, 388-437 (2000).

• Relaxation limit for piecewise smooth solutions to systems of conservation laws, Journal of Differential Equations, 162, 140-173 (2000).

• Large time behavior of solutions for nonlinear hyperbolic system with low-order dissipation, Journal of Mathematical Analysis and Applications, 232, 461-483 (1999).