Liutang Xue


My MathSciNet link may be found here.


Publications and Preprints
  1. Qianyun Miao, Changhui Tan, Liutang Xue, and Zhilong Xue, Local regularity and finite-time singularity for a class of generalized SQG patches on the half-plane. ArXiv:2410.19273 [math.AP]. (pdf)

  2. Omar Lazar, Liutang Xue, and Jiakun Yang, Global regularity and infinite Prandtl number limit of temperature patches for the 2D Boussinesq system. ArXiv:2405.02137 [math.AP]. (pdf)

  3. Taoufik Hmidi, Liutang Xue, and Zhilong Xue, Unified theory on V-states structures for active scalar equations. ArXiv:2312.02874 [math.AP]. (pdf)

  4. Yatao Li, Qianyun Miao, Changhui Tan, and Liutang Xue, Global well-posedness and refined regularity criterion for the uni-directional Euler-alignment system. ArXiv:2308.09609 [math.AP]. To appear in International Mathematics Research Notices (2025). (pdf)

  5. Xiang Bai, Changhui Tan, and Liutang Xue, Global well-posedness and asymptotic behavior for the Euler-alignment system with pressure. J. Differential Equations, 407 (2024), 269--310. (pdf)

  6. Xiang Bai, Qianyun Miao, Changhui Tan, and Liutang Xue, Global well-posedness and asymptotic behavior in critical spaces for the compressible Euler system with velocity alignment. Nonlinearity, 37 (2024), no. 2, paper no. 025007. (pdf)

  7. Omar Lazar, Yatao Li, and Liutang Xue, On the regularity of temperature fronts for the 3D viscous Boussinesq system. Indiana Math. Univ. J., 73 (2024), no. 3, 1005--1060. (pdf)

  8. Taoufik Hmidi, Liutang Xue, and Zhilong Xue, Emergence of time periodic solutions for the generalized surface quasi-geostrophic equation in the disc. Journal of Functional Analysis, 285 (2023), no. 10, Paper No. 110142. (pdf)

  9. Yatao Li, Qianyun Miao, and Liutang Xue, Global well-posedness for 2D fractional inhomogeneous Navier-Stokes equations with rough density. ArXiv: 2111.12235 [math.AP]. Nonlinearity 36 (2023), 3866--3908. (pdf)

  10. Dongho Chae, Qianyun Miao, and Liutang Xue, Global regularity of non-diffusive temperature fronts for the 2D viscous Boussinesq system. SIAM J. Math. Anal.54 (2022), no. 4, 4043--4103. (pdf) Erratum. (pdf)

  11. Piotr B. Mucha, and Liutang Xue, Boussinesq system with measure forcing. Mathematische Annalen,382 (2022), 1901--1934. (pdf)

  12. Qianyun Miao, Changhui Tan, and Liutang Xue, Global regularity for a 1D Euler-alignment system with misalignment. Math. Mod. Meth. Appl. Sci., 31 (2021), no. 3, 473--524. (pdf)

  13. Qianyun Miao, and Liutang Xue, Regularity and singularity results for the dissipative Whitham equation and related surface wave equations. Commun. Math. Sci., 17 (2019), no. 8, 2141--2190. (pdf)

  14. Omar Lazar, and Liutang Xue, Regularity results for a class of generalized surface quasi-geostrophic equations. Journal de Mathématiques Pures et Appliquées, 130 (2019), 200--250. (pdf)

  15. Piotr B. Mucha, Liutang Xue, and Xiaoxin Zheng, Between homogeneous and inhomogeneous Navier-Stokes systems: the issue of stability. J. Differential Equations, 267 (2019), Issue 1, 307--363. (pdf)

  16. Changxing Miao, and Liutang Xue, On the regularity issues of a class of drift-diffusion equations with nonlocal diffusion. SIAM J. Math. Anal., 51 (2019), no. 4, 2927--2970.(pdf)

  17. Qianyun Miao, and Liutang Xue, On the Holder regularity of the weak solution to a drift-diffusion equation with pressure. Calc. Var. Partial Differential Equations, 57 (2018), no. 6, Art. 153, 33 pp. (pdf)

  18. Liutang Xue, and Zhuan Ye, On the differentiability issue of the drift-diffusion equation with nonlocal Levy-type diffusion. Pacific J. Mathematics 293 (2018), no. 2, 471--510 (pdf)

  19. Jiahong Wu, Xiaojing Xu, Liutang Xue, and Zhuan Ye, Regularity results for the 2D Boussinesq equations with critical or supercritical dissipation. Commun. Math. Sci. 14 (2016), no. 7, 1963--1997. (pdf)

  20. Liutang Xue, On the locally self-similar solution of the surface quasi-geostrophic equation with decaying or non-decaying profiles. J. Differential Equations 261 (2016), no. 10, 5590--5608. (pdf)

  21. Liutang Xue, On the locally self-similar singular solutions for the incompressible Euler equations. Dyn. Partial Differ. Equ. 12 (2015), no. 4, 321--342. (pdf)

  22. Liutang Xue, On the discretely self-similar solutions for the 3D Navier-Stokes equations. Nonlinearity 28 (2015), no. 10, 3695--3708. (pdf)

  23. Marco Cannone, and Liutang Xue, Remarks on self-similar solutions for the surface quasi-geostrophic equation and its generalization. Proc. Amer. Math. Soc. 143 (2015), no. 6, 2613–2622. (pdf)

  24. Dong Li, Changxing Miao, and Liutang Xue, On the well-posedness of a 2D nonlinear and nonlocal system arising from the dislocation dynamics. Commun. Contemp. Math. 16 (2014), no. 2, 1350021, 36 pp. (pdf)

  25. Xiaojing Xu, and Liutang Xue, Yudovich type solution for the 2D inviscid Boussinesq system with critical and supercritical dissipation. J. Differential Equations 256 (2014), no. 9, 3179--3207. (pdf)

  26. Marco Cannone, Changxing Miao, and Liutang Xue, Global regularity for the supercritical dissipative quasi-geostrophic equation with large dispersive forcing. Proc. Lond. Math. Soc. (3) 106 (2013), no. 3, 650--674.(pdf)

  27. Liutang Xue, and Xiaoxin Zheng, Note on the well-posedness of a slightly supercritical surface quasi-geostrophic equation. J. Differential Equations 253 (2012), no. 2, 795--813. (pdf)

  28. Gang Wu, and Liutang Xue, Global well-posedness for the 2D inviscid Bénard system with fractional diffusivity and Yudovich's type data. J. Differential Equations 253 (2012), no. 1, 100--125. (pdf)

  29. Changxing Miao, and Liutang Xue, Global well-posedness for a modified critical dissipative quasi-geostrophic equation. J. Differential Equations 252 (2012), no. 1, 792--818. (pdf)

  30. Changxing Miao, and Liutang Xue, On the regularity of a class of generalized quasi-geostrophic equations. J. Differential Equations 251 (2011), no. 10, 2789--2821. (pdf)

  31. Changxing Miao, and Liutang Xue, On the global well-posedness of a class of Boussinesq-Navier-Stokes systems. NoDEA Nonlinear Differential Equations Appl. 18 (2011), no. 6, 707--735.(pdf)

  32. Liutang Xue, Wellposedness and zero microrotation viscosity limit of the 2D micropolar fluid equations. Math. Methods Appl. Sci. 34 (2011), no. 14, 1760--1777. (pdf)

  33. Liutang Xue, On the well-posedness of incompressible flow in porous media with supercritical diffusion. Appl. Anal. 88 (2009), no. 4, 547--561. (pdf)

Last modified on 2024/11/19.