DLADESchool of Mathematical SciencesDUT — Dalian University of Technology

Research Interests

Harmonic Analysis

Nonlinear Dispersive Equations & Harmonic Analysis and Its Applications.

Publications

  1. 2026
    Junfeng Li, Zengjian Lou & Haixia YuMixed norm estimates for curve averages ↗Journal of Mathematical Analysis and Applications 564(2), 130907
  2. 2026
    Junfeng Li & Ankang YuThe boundedness of the dilated averages over the parabola ↗Frontiers of Mathematics 21(3), 513–534
  3. 2025
    Junfeng Li, Naijia Liu, Zengjian Lou & Haixia YuLpx × Lqx,u estimates for dilated averages over planar curves ↗Mathematische Zeitschrift 311(2), 31
  4. 2025
  5. 2025
    Junfeng Li & Ankang YuAn upper bound on the maximal function of Schrödinger operator ↗Banach Journal of Mathematical Analysis 19(3), 39
  6. 2025
    Junfeng Li, Xinyu Wang & Haixia YuThe boundedness of the triangular Hilbert transforms along curves ↗Journal of Mathematical Analysis and Applications 547(2), 129343
  7. 2024
    Dan Li & Junfeng LiThe pointwise convergence along curve associated with Boussinesq operator ↗Frontiers of Mathematics 19(4), 629–645
  8. 2024
    Junfeng Li & Chuang ZhengNon-homogeneous initial boundary value problems for the biharmonic Schrödinger equation on an interval ↗Annals of Mathematical Sciences and Applications 9(1), 3–55
  9. 2023
    Guoliang Li & Junfeng LiThe boundedness of the bilinear oscillatory integral along a parabola ↗Proceedings of the Edinburgh Mathematical Society (Series 2) 66(1), 54–88
  10. 2023
    Dan Li & Junfeng LiA Carleson problem for the Boussinesq operator ↗Acta Mathematica Sinica (English Series) 39(1), 119–148
  11. 2022
    Guoliang Li & Junfeng LiThe boundedness of a bilinear oscillatory integral ↗Geometric Potential Analysis, 123–133. Advances in Analysis and Geometry 6
  12. 2022
    Junfeng Li & Haixia YuLp boundedness of Carleson & Hilbert transforms along plane curves with certain curvature constraints ↗Journal of Fourier Analysis and Applications 28(1), 11
  13. 2021
    Junfeng Li & Jun WangA note on the convergence of the Schrödinger operator along curve ↗Analysis in Theory and Applications 37(3), 330–346
  14. 2021
    Junfeng Li & Xiang LiGlobal boundedness for 2D quadratic nonlinear Schrödinger equation ↗Advances in Mathematics (China) 50(4), 496–510
  15. 2021
    Junfeng Li & Haixia YuL∞ boundedness of Hilbert transforms along variable flat curves ↗Mathematische Zeitschrift 298(3–4), 1573–1591
  16. 2021
    Dan Li, Junfeng Li & Jie XiaoAn upbound of Hausdorff’s dimension of the divergence set of the fractional Schrödinger operator on Hs(Rn) ↗Acta Mathematica Scientia, Series B (English Edition) 41(4), 1223–1249
  17. 2021
    Junfeng Li & Haixia YuBilinear Hilbert transforms and (sub)bilinear maximal functions along convex curves ↗Pacific Journal of Mathematics 310(2), 375–446

Analysis & Partial Differential Equations

AnalysisNonlinear PDEsFluid Mechanics

Publications

  1. 2026
  2. 2026
    Sarah Hofbauer, Xian Liao & Guido SchneiderValidity of the Whitham approximation for a complex cubic Klein–Gordon equation ↗Indiana University Mathematics Journal 75(2), 381–428
  3. 2026
    Shikun Cui, Lili Wang & Wendong WangSuppression of blow-up for the 3D Patlak–Keller–Segel–Navier–Stokes system via the Couette flow ↗Journal de Mathématiques Pures et Appliquées 210, 103874
  4. 2026
    Lili Wang, Wendong Wang & Yi ZhangStability of a class of supercritical volume-filling chemotaxis-fluid model near Couette flow ↗Communications in Contemporary Mathematics, 2650056
  5. 2026
    Fatao Wang & Guodong WangQuantitative stability of a class of explicit steady Euler flows in a disk ↗Bulletin of the London Mathematical Society 58(5), e70364
  6. 2026
    Yu Sui, Fatao Wang & Ruizhi YangBifurcation in a predator-prey model with memory-diffusion and double Allee effect ↗Mathematical Methods in the Applied Sciences, 1–33
  7. 2026
  8. 2025
    Xian Liao & Sagbo Marcel ZodjiGlobal-in-time well-posedness of the compressible Navier–Stokes equations with striated density ↗Revista Matemática Iberoamericana 41(6), 2167–2214
  9. 2025
    Xian Liao & Robert WegnerGlobal well-posedness of the NLS hierarchy with nonzero boundary condition ↗arXiv:2508.14572 · Preprint
  10. 2025
  11. 2025
    Wendong Wang, Guoxu Yang & Jianbo YuRegularity criterion for a type of 3D shear thickening fluids via one velocity component ↗Journal of Geometric Analysis 35, 203
  12. 2025
  13. 2025
    Xiaomeng Chen, Shuai Li, Lili Wang & Wendong WangGlobal existence of suitable weak solutions to the 3D chemotaxis–Navier–Stokes equations ↗Discrete and Continuous Dynamical Systems 45(2), 425–479
  14. 2025
    Xiaomeng Chen, Shuai Li & Wendong WangPartial regularity of solutions to the 3D chemotaxis–Navier–Stokes equations at the first blow-up time ↗Methods and Applications of Analysis 32(2), 91–133
  15. 2025
    Huiying Fan & Wendong WangRemarks on Liouville type theorems for the steady nematic liquid crystal equations ↗Zeitschrift für angewandte Mathematik und Physik 76, 176
  16. 2025
    Wendong Wang & Wenhua ZhangInterior regularity criteria without pressure for the 4D Navier–Stokes equations ↗Journal of Mathematical Physics 66(7), 071503
  17. 2025
    Zhengguang Guo & Wendong WangOn the uniqueness and non-uniqueness of the steady planar Navier–Stokes equations in an exterior domain ↗Journal of Differential Equations 428, 483–510
  18. 2025
    Fatao Wang, Guodong Wang & Bijun ZuoOn the positive constant in Arnold’s second stability theorem for a bounded domain ↗arXiv:2505.06807 · Preprint
  19. 2025
    Xiaoxue Zhu & Haining FanThe positive solutions for a class of Kirchhoff-type problems with critical Sobolev exponents on a bounded domain ↗Mathematical Methods in the Applied Sciences 48(4), 4090–4116
  20. 2025
  21. 2024
  22. 2024
    Xing Cheng, Chang-Yu Guo, Zihua Guo, Xian Liao & Jia ShenScattering of the three-dimensional cubic nonlinear Schrödinger equation with partial harmonic potentials ↗Analysis & PDE 17(10), 3371–3446
  23. 2024
  24. 2024
    Jinkai Li, Meng Wang & Wendong WangAn attempt at axiomatization of extending mechanism of solutions to the fluid dynamical systems ↗Chinese Annals of Mathematics, Series B 45(6), 957–970
  25. 2024
    Wendong Wang, Di Wu & Zhifei ZhangScaling-invariant Serrin criterion via one velocity component for the Navier–Stokes equations ↗Annales de l’Institut Henri Poincaré C 41(1), 159–185
  26. 2024
    Wendong Wang & Liqun ZhangCα regularity of weak solutions of non-homogeneous ultraparabolic equations with drift terms ↗Science China Mathematics 67(1), 23–44
  27. 2024
    Fatao Wang, Ruizhi Yang & Xin ZhangTuring patterns in a predator-prey model with double Allee effect ↗Mathematics and Computers in Simulation 220, 170–191
  28. 2024
    Xiaoxue Zhu & Haining FanThe sign-changing solutions for a class of Kirchhoff-type problems with critical Sobolev exponents in bounded domains ↗Zeitschrift für angewandte Mathematik und Physik 75, 162
  29. 2024
    Haining Fan, Binlin Zhang & Xiaoxue ZhuMultiple positive solutions for a singular Kirchhoff-type problem with convex nonlinearity on unbounded domain ↗Differential and Integral Equations 37(1–2), 59–78
  30. 2023
    Xian Liao & Christian ZillingerOn variable viscosity and enhanced dissipation ↗Nonlinearity 36, 6071–6103
  31. 2023
  32. 2023
    Xian Liao & Michael PlumEigenvalue analysis of the Lax operator for the one-dimensional cubic nonlinear defocusing Schrödinger equation ↗SIAM Journal on Mathematical Analysis 55(6), 7399–7425
  33. 2023
    Lili Wang & Wendong WangAsymptotic properties of steady plane solutions of the Navier–Stokes equations in a cone-like domain ↗Journal of Mathematical Fluid Mechanics 25(3), 75
  34. 2023
    Wendong WangStability of the Couette flow under the 2D steady Navier–Stokes flow ↗Mathematische Nachrichten 296(3), 1296–1309
  35. 2023
    Tobias Barker & Wendong WangEstimates of the singular set for the Navier–Stokes equations with supercritical assumptions on the pressure ↗Journal of Differential Equations 365, 379–407
  36. 2023
  37. 2022
  38. 2022
    Ruizhi Yang, Fatao Wang & Dan JinSpatially inhomogeneous bifurcating periodic solutions induced by nonlocal competition in a predator-prey system with additional food ↗Mathematical Methods in the Applied Sciences 45(16), 9967–9978
  39. 2021
    Herbert Koch & Xian LiaoConserved energies for the one dimensional Gross–Pitaevskii equation ↗Advances in Mathematics 377, 107467
  40. 2021
    Wendong WangLiouville type theorems for the planar stationary MHD equations with growth at infinity ↗Journal of Mathematical Fluid Mechanics 23(4), 88
  41. 2020
    Yueyang Men, Wendong Wang & Lingling ZhaoAsymptotic behavior of the steady Navier–Stokes flow in the exterior domain ↗Journal of Differential Equations 269(9), 7311–7325
  42. 2020
    Tao Tao, Wendong Wang & Zhifei ZhangZero-viscosity limit of the Navier–Stokes equations with the Navier friction boundary condition ↗SIAM Journal on Mathematical Analysis 52(2), 1040–1095
  43. 2020
    Xueke Pu & Wendong WangPartial regularity to the Landau–Lifshitz equation with spin accumulation ↗Journal of Differential Equations 268(2), 707–737
  44. 2026
    Tianxiang Gou & Xiaoan ShenNonlinear bound states with prescribed angular momentum in the mass supercritical regime ↗Journal of Differential Equations 453, 113796
  45. 2024
    Xiaoan Shen & Christof SparberSemiclassical wave packets for weakly nonlinear Schrödinger equations with rotation ↗Zeitschrift für angewandte Mathematik und Physik 75, 171
  46. 2024
    Irina Nenciu, Xiaoan Shen & Christof SparberNonlinear bound states with prescribed angular momentum ↗Calculus of Variations and Partial Differential Equations 63, 1

Bifurcation Theory & Partial Differential Equations

Reaction-Diffusion Systems of Elliptic or Parabolic TypeBifurcation TheoryDynamical SystemsSingular Perturbation

Publications

  1. 2026
  2. 2025
    Qiannan Song & Fengqi YiTuring instability of the periodic solutions for the reaction-diffusion system involving nonlocal delays ↗SIAM Journal on Applied Dynamical Systems 24(4), 2767–2803
  3. 2024
  4. 2024
    Gaoyang She & Fengqi YiDynamics and bifurcations in a non-degenerate homogeneous diffusive SIR rabies model ↗SIAM Journal on Applied Mathematics 84(2), 632–660
  5. 2024
    Qiannan Song & Fengqi YiSpatiotemporal patterns and bifurcations in a delayed diffusive predator-prey system with fear effects ↗Journal of Differential Equations 388, 151–187
  6. 2022
    Mi Wang & Fengqi YiOn the dynamics of the diffusive Field-Noyes model for the Belousov-Zhabotinskii reaction ↗Journal of Differential Equations 318, 443–479
  7. 2021

Nonlinear Diffusion & Image Processing

Pseudo-parabolic & Non-local EquationsReaction-Diffusion EquationsPDE-based Image Processing

Publications

  1. 2026
    Yang Cao & Benhui WangLife span of solutions for a semilinear pseudo-parabolic equation with inhomogeneous source ↗Journal of Fixed Point Theory and Applications 28, 54
  2. 2026
    Yang Cao, Xiaorui Li, Chengyuan Qu & Benhui WangParameter estimation for stochastic fractional pseudo-parabolic equations ↗Zeitschrift für angewandte Mathematik und Physik 77, 126
  3. 2026
    Yang Cao, Yuxiu Liu & Chengyuan QuParameter estimation for a stochastic pseudo-parabolic partial differential equation ↗Journal of Mathematical Analysis and Applications 560(1), 130490
  4. 2026
    Yang Cao, Chengyuan Qu & Benhui WangStochastic pseudo-parabolic equation with logarithmic nonlinearity ↗Communications in Analysis and Mechanics 18(1), 245–272
  5. 2026
    Yang Cao, Shuai Geng, Qingchun Li & Chengyuan QuA diffusive intraguild predation model with variable carrying capacity proportional to the same biotic resource ↗International Journal of Biomathematics 19(6), 2450097
  6. 2026
    Haomeng Chen & Yang CaoMonotone traveling waves for the viscous Nicholson’s blowflies equation ↗Discrete and Continuous Dynamical Systems - S 29, 207–232
  7. 2026
  8. 2026
    Haomeng ChenStability of traveling wavefronts for viscous Nicholson’s blowflies equation ↗Communications in Nonlinear Science and Numerical Simulation 159, 109917
  9. 2025
    Yong Luo, Jingxue Yin & Liting YouSharp life span of semilinear heat equations with large and small scaled inner and initial sources ↗Journal of Differential Equations 419, 481–504
  10. 2025
    Jinhuan Wang, Haomeng Chen & Mengdi ZhuangGlobal existence of solutions to a Keller-Segel model with logistic source in ℝ2 ↗Discrete and Continuous Dynamical Systems - B 30(8), 2806–2821
  11. 2025
    Qingchun Li & Haomeng ChenGlobal boundedness and asymptotic stability of the Keller-Segel system with growth source in the whole space ↗Nonlinear Differential Equations and Applications NoDEA 32, 133
  12. 2024
    Liting You, Jingxue Yin & Yong LuoOptimal estimate on life span for semilinear heat equations with non-rarefied sources at infinity ↗Journal of Differential Equations 394, 278–295
  13. 2024
    Bo Liang, Qingchun Li, Yongbo Zhu & Yongzheng ZhuExistence and Asymptotic Behaviors to a Nonlinear Fourth-order Parabolic Equation with a General Source ↗Taiwanese Journal of Mathematics 28(5), 969–990
  14. 2023
    Zhiyong Wang, Jingxue Yin & Liting YouLife span of solutions for a semilinear heat equation with inhomogeneous source ↗Journal of Differential Equations 350, 189–201
  15. 2023
    Jinhuan Wang, Haomeng Chen & Mengdi ZhuangGlobal boundedness of weak solutions to a chemotaxis–haptotaxis model with p-Laplacian diffusion ↗Zeitschrift für angewandte Mathematik und Physik 74, 223
  16. 2022
    Liting You, Huijuan Song & Jingxue YinMultiplicity of solutions of the weighted p-Laplacian with isolated singularity and diffusion suppressed by convection ↗Chinese Annals of Mathematics, Series B 43(5), 643–658
  17. 2022
    Bo Liang, Qingchun Li, Jihong Zhang & Ying WangExistence of solutions to a doubly degenerate fourth-order parabolic equation ↗Applied Mathematics and Computation 413, 126650
  18. 2025
    Yang Cao & Xiaojing SuLocal behavior analysis of wetting fronts for pseudo-parabolic diffusion-convection equation ↗Studies in Applied Mathematics 155(6), e70155
  19. 2024
    Yang Cao & Yuanyuan XingSubsonic Euler-Poisson flows with self-gravitation in an annulus ↗Journal of Differential Equations 411, 90–118
  20. 2024
    Yang Cao & Jingxue YinAn overview of recent studies on the pseudo-parabolic equation (in Chinese) ↗Scientia Sinica Mathematica 54(3), 259–284
  21. 2024
    Yang Cao & Yuanyuan XingStability of transonic shock to Euler-Poisson system with varying background charges ↗Acta Mathematica Scientia 44(4), 1487–1506
  22. 2024
    Qiuting Zhao & Yang CaoInitial boundary value problem of pseudo-parabolic Kirchhoff equations with logarithmic nonlinearity ↗Mathematical Methods in the Applied Sciences 47(2), 799–816
  23. 2023
    Qian Li, Yuxiao Hu & Yang CaoAdaptive Perona-Malik model based on dynamical threshold for image multi-noise removal with details preservation ↗Computers & Mathematics with Applications 137, 28–43
  24. 2021
    Yang Cao & Qiuting ZhaoInitial boundary value problem of a class of mixed pseudo-parabolic Kirchhoff equations ↗Electronic Research Archive 29(6), 3833–3851
  25. 2021
  26. 2020
    Haochuan Huang, Rui Huang, Jingxue Yin & Yang CaoSobolev hyperbola for the periodic parabolic Lane–Emden system ↗Nonlinearity 33(2), 762–789
  27. 2026
    Yang Cao, Haomeng Chen & Huizhen MoA Quasilinear Chemotaxis Model with Nonlocal Term and Nonlinear Indirect Signal Production ↗Applied Mathematics & Optimization 94, 53

Dynamical Systems & Geometry

Hamiltonian DynamicsCelestial MechanicsSymplectic Geometry

Publications

  1. 2026
    Hongzi Cong, Zihan Cui, Yunfeng Shi & Zhihan ZhangLong-time localization for the discrete nonlinear Schrödinger equation with a quasi-periodic potential ↗Journal of Mathematical Physics 67(1), 012701
  2. 2026
    Hongzi Cong, Yunfeng Shi & Zhihan ZhangLocalization for random coupled harmonic oscillators on ℤd ↗Letters in Mathematical Physics 116(2), 26
  3. 2026
    Yuchen Wang & Lei ZhaoOn the Finiteness Issue of Four-Body Balanced Configurations in the Plane ↗Regular and Chaotic Dynamics · Published online / in print
  4. 2026
    Lei ZhaoIntegrability of Kepler Billiards at Zero-Energy ↗Archiv der Mathematik 126(3), 329–333
  5. 2026
    Daniel Jaud & Lei ZhaoPoncelet property of planar elliptic integrable Kepler billiards ↗Nonlinearity 39(5), 055018
  6. 2026
    Xiang Yu & Lei ZhaoExclusion of Infinite Spin for N-body problem in ℝd ↗arXiv:2606.31196 · Preprint
  7. 2026
    Urs Frauenfelder & Lei ZhaoThe kei word metric on the transvection group and its unit ball ↗arXiv:2606.00693 · Preprint
  8. 2026
    José Lamas & Lei ZhaoBirkhoff normal forms, Dirac brackets and symplectic reduction ↗arXiv:2603.18648 · Preprint
  9. 2025
    Hongzi Cong, Yunfeng Shi & W.-M. WangLong-time Anderson localization for the nonlinear quasi-periodic Schrödinger equation on ℤd ↗Journal of Differential Equations 422, 306–328
  10. 2025
    Hongzi Cong, Wanran Ding, Siming Li & Peizhen WangSub-exponentially long timescale stability for nonlinear Klein–Gordon equation with potential ↗Journal of Mathematical Physics 66(1), 012702
  11. 2025
    Hongzi Cong, Siming Li, Yingte Sun & Xiaoqing WuBirkhoff normal form and long time existence for d-dimensional generalized Pochhammer–Chree equation ↗Journal of Statistical Physics 192(2), 30
  12. 2025
  13. 2025
    Gabriella Pinzari & Lei ZhaoA common first integral from three-body secular theory and Kepler billiards ↗arXiv:2504.17645 · Preprint
  14. 2024
    Hongzi Cong, Siming Li & Xiaoqing WuLong time stability result for d-dimensional nonlinear Schrödinger equation ↗Journal of Differential Equations 394, 174–208
  15. 2024
    Hongzi Cong, Yunfeng Shi & Xiaoqing WuLong-time Anderson localization for the nonlinear random Schrödinger equation on ℤd ↗Journal of Statistical Physics 191(9), 116
  16. 2024
  17. 2024
    Airi Takeuchi & Lei ZhaoConformal transformations and integrable mechanical billiards ↗Advances in Mathematics 436, 109411
  18. 2024
    Airi Takeuchi & Lei ZhaoIntegrable mechanical billiards in higher-dimensional space forms ↗Regular and Chaotic Dynamics 29, 405–434
  19. 2024
    Airi Takeuchi & Lei ZhaoProjective integrable mechanical billiards ↗Nonlinearity 37, 015011
  20. 2024
    Daniel Jaud & Lei ZhaoGeometric properties of integrable Kepler and Hooke billiards with conic section boundaries ↗Journal of Geometry and Physics 204, 105289
  21. 2023
  22. 2023
    Lei ZhaoShooting for collinear periodic orbits in the Helium model ↗Zeitschrift für angewandte Mathematik und Physik 74, 227
  23. 2023
    Airi Takeuchi & Lei ZhaoConcave Toric Domains in Stark-type Mechanical Systems ↗arXiv:2311.08912 · Preprint
  24. 2023
    Michael Plum, Airi Takeuchi & Lei ZhaoBoltzmann’s Billiard Systems: Computation of the Billiard Mapping and Some Numerical Results ↗arXiv:2311.09699 · Preprint
  25. 2022
    Qiaoling Chen, Hongzi Cong, Lulu Meng & Xiaoqing WuLong time stability result for 1-dimensional nonlinear Schrödinger equation ↗Journal of Differential Equations 315, 90–121
  26. 2022
    Hongzi Cong, Lufang Mi, Xiaoqing Wu & Qidi ZhangExponential stability estimate for the derivative nonlinear Schrödinger equation ↗Nonlinearity 35(5), 2385–2423
  27. 2022
    Hongzi Cong, Lufang Mi & Yunfeng ShiSuper-exponential stability estimate for the nonlinear Schrödinger equation ↗Journal of Functional Analysis 283(12), 109682
  28. 2022
    Alexandru Doicu, Lei Zhao & Adrian DoicuA stochastic optimization algorithm for analyzing planar central and balanced configurations in the n-body problem ↗Celestial Mechanics and Dynamical Astronomy 134, 29
  29. 2022
  30. 2022
    Alain Albouy & Lei ZhaoDarboux inversions of the Kepler problem ↗Regular and Chaotic Dynamics 27, 253–280
  31. 2022
    Kai Cieliebak, Urs Frauenfelder & Lei ZhaoJ+-invariants for planar two-center Stark–Zeeman systems ↗Ergodic Theory and Dynamical Systems
  32. 2022
    Urs Frauenfelder, Otto van Koert & Lei ZhaoOn the problem of convexity for the restricted three-body problem around the heavy primary ↗Hokkaido Mathematical Journal 51, 287–317
  33. 2022
    Lei ZhaoProjective dynamics and an integrable Boltzmann billiard model ↗Communications in Contemporary Mathematics 24, 2150085
  34. 2021
    Rafael Ortega & Lei ZhaoGeneralized periodic orbits in some restricted three-body problems ↗Zeitschrift für angewandte Mathematik und Physik 72, 40
  35. 2020
    Lei ZhaoLambert’s theorem on the sphere ↗Rendiconti del Seminario Matematico 78, 133–143
  36. 2020
    Urs Frauenfelder & Lei ZhaoTransverse regularizations of central force problems by Hamiltonian structure ↗Proceedings of the ICCM, 539–552

Stochastic Dynamical Systems

Stochastic DynamicsStochastic Differential EquationsAveraging & Recurrent Dynamics

Publications

  1. 2026
    Mengyu Cheng, Xiaobin Sun & Yingchao XieStrong averaging principle for nonautonomous multi-scale SPDEs with fully local monotone and almost periodic coefficients ↗Journal of Functional Analysis 290(10), 111411
  2. 2026
    Zhenxin Liu & Zhiyuan ShiInvariant measures for stochastic Burgers equation on unbounded domains ↗Discrete and Continuous Dynamical Systems - B 37, 447–471
  3. 2025
    Mengyu Cheng, Xianjin Cheng & Zhenxin LiuRandom Attractors for McKean–Vlasov SDEs ↗arXiv:2511.16190 · Preprint
  4. 2025
    Mengyu Cheng, Zimo Hao & Xicheng ZhangAveraging principle for SDEs with singular drifts driven by α-stable processes ↗Journal of Differential Equations 449, 113706
  5. 2025
    Zhenxin Liu & Di LuErgodicity of Inhomogeneous Markov Processes Under General Criteria ↗Frontiers of Mathematics 20(6), 1407–1440
  6. 2025
    Jing Guo & Zhenxin LiuPolynomial Mixing for a Weakly Damped Stochastic Nonlinear Schrödinger Equation ↗Acta Mathematica Scientia 45(5), 2029–2059
  7. 2025
    Jun Ma & Zhenxin LiuContinuous dependence for McKean–Vlasov SDEs under distribution-dependent Lyapunov conditions ↗Discrete and Continuous Dynamical Systems - S 18(11), 3282–3301
  8. 2024
  9. 2024
    Zhenxin Liu & Zhe WangWasserstein convergence rates in the invariance principle for deterministic dynamical systems ↗Ergodic Theory and Dynamical Systems 44(4), 1172–1191
  10. 2024
    Zhenxin Liu & Ziting LiuThe uniqueness for a class of ordinary and stochastic differential equations ↗Journal of Differential Equations 400, 90–109
  11. 2024
    David N. Cheban & Zhenxin LiuThe comparability of motions in dynamical systems and recurrent solutions of (S)PDEs ↗Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica 104–105, 53–83
  12. 2024
    Mengyu Cheng, Zimo Hao & Michael RöcknerStrong and weak convergence for the averaging principle of DDSDE with singular drift ↗Bernoulli 30(2), 1586–1610
  13. 2023
    Zhenxin LiuRecent Results on Recurrent Solutions and Limit Distributions of SDEs ↗Communications in Mathematical Research 39(3), 476–500
  14. 2023
    Mengyu Cheng & Zhenxin LiuThe Second Bogolyubov Theorem and Global Averaging Principle for SPDEs with Monotone Coefficients ↗SIAM Journal on Mathematical Analysis 55(2), 1100–1144
  15. 2023
    Mengyu Cheng, Zhenxin Liu & Michael RöcknerAveraging principle for stochastic complex Ginzburg–Landau equations ↗Journal of Differential Equations 368, 58–104
  16. 2023
    Xianjin Cheng & Zhenxin LiuThe locally homeomorphic property of McKean–Vlasov SDEs under the global Lipschitz condition ↗Journal de Mathématiques Pures et Appliquées 180, 97–121
  17. 2023
    Mengyu Cheng, Zhenxin Liu & Michael RöcknerAveraging principle and normal deviation for multi-scale SDEs with polynomial nonlinearity ↗arXiv:2308.10751 · Preprint
  18. 2022
    Xianjin Cheng, Zhenxin Liu & Lixin ZhangSmall perturbations may change the sign of Lyapunov exponents for linear SDEs ↗Stochastics and Dynamics 22(8), 2240038
  19. 2022
  20. 2022
    Xin Liu & Zhenxin LiuPoisson Stable Solutions for Stochastic Differential Equations with Lévy Noise ↗Acta Mathematica Sinica, English Series 38(1), 22–54
  21. 2021
    Mengyu Cheng & Zhenxin LiuPeriodic, almost periodic and almost automorphic solutions for SPDEs with monotone coefficients ↗Discrete and Continuous Dynamical Systems - B 26(12), 6425–6462
  22. 2021
    David N. Cheban & Zhenxin LiuAveraging principle on infinite intervals for stochastic ordinary differential equations ↗Electronic Research Archive 29(4), 2791–2817
  23. 2020