Papers

Preprints

• Saito Hirokazu; Zhang, Xin — On the dispersive effect of internal gravity waves for the two-phase Stokes semigroup. Submitted
• Li Ming; Peng Linyu; Zhang Ping; Zhang, Xin — Local profiles of self-similar solutions of the planar stationary Navier-Stokes equations. Submitted
• Fujii Mikihiro; Tsurumi Hiroyuki; Zhang, Xin — Decay rates of three dimensional stationary Navier-Stokes flows at the spatial infinity. Submitted

Published Papers

1. [1] Global persistence of geometrical structures for the Boussinesq equation with no diffusion.
   Danchin, Raphaël; Zhang, Xin · Comm. Partial Differential Equations 42 (2017), no. 1, 68–99
2. [2] On the persistence of Hölder regular patches of density for the inhomogeneous Navier-Stokes equations.
   Danchin, Raphaël; Zhang, Xin · J. Éc. polytech. Math. 4 (2017), 781–811
3. [3] The R-bounded operator families arising from the study of the barotropic compressible flows with free surface.
   Zhang, Xin · J. Differential Equations 269 (2020), no. 9, 7059–7105
4. [4] Some free boundary problem for two-phase inhomogeneous incompressible flows.
   Saito, Hirokazu; Shibata, Yoshihiro; Zhang, Xin · SIAM J. Math. Anal. 52 (2020), no. 4, 3397–3443
5. [5] Unique solvability of elliptic problems associated with two-phase incompressible flows in unbounded domains.
   Saito, Hirokazu; Zhang, Xin · Discrete Contin. Dyn. Syst. 41 (2021), no. 10, 4609–4643
6. [6] The L^p-L^q decay estimate for the multidimensional compressible flow with free surface in the exterior domain.
   Shibata, Yoshihiro; Zhang, Xin · J. Differential Equations 325 (2022), 150–205
7. [7] Global wellposedness of the 3D compressible Navier-Stokes equations with free surface in the maximal regularity class.
   Shibata, Yoshihiro; Zhang, Xin · Nonlinearity 36 (2023), no. 7, 3710–3733
8. [8] On the solvability of weak transmission problem in unbounded domains with non-compact boundaries.
   Saito Hirokazu; Xu Jiang; Zhang, Xin; Zhou Wendu · J. Math. Fluid Mech. 27 (2025), no. 1, Paper No. 9
9. [9] On steady solutions of the Hall-MHD system in Besov spaces.
   Tan, Jin; Tsurumi Hiroyuki; Zhang, Xin · Z. Angew. Math. Phys. 76 (2025), no. 4, Paper No. 139
10. [10] On the solution operators arising from the gas-liquid two-phase problem in unbounded domains with finite depth.
    Tu Miao; Zhang, Xin · J. Differential Equations 453 (2026), 113837

Book Chapters

1. Classical solution for the compressible flow with free surface in three dimensional exterior domain.
   Shibata, Yoshihiro; Zhang, Xin · Fluids under control (2023), 241–293, Birkhäuser/Springer

Talks

No current items.

Teaching

Current

Past Teaching at Tongji University

Past Teaching at Waseda University

Students

Other

• Tongji Seminar on Analysis and PDE
• Reading Seminar