Research

Research Interest:  

Analysis of nonlinear PDEs in continuum mechanics. In particular, well-posedness and singular limits among the models related to

• Free boundary problems

• Two-phase flow

• Fluid-structure interaction problems

• Complex fluids

• Moving contact line problems

Publicaitions

Preprints

1. Global strong solutions without contact for a viscous fluid interacting with a purely elastic beam
   Preprint: arXiv:2610.22090

2. Higher Order Convergence for the Sharp Interface Limit of 3D Navier--Stokes/Allen--Cahn Systems
   With Helmut Abels, Mingwen Fei, and Maximilian Moser
   Preprint: arXiv:2606.30532

3. Global weak solutions to a diffuse-interface model for quasi-incompressible two-phase flows with unmatched densities and singular potential
   With Mingwen Fei, Xiang Fei and Hao Wu
   Preprint: arXiv:2604.26660

Publications in Peer-Reviewed Journals

1. Weak solutions and incompressible limit of a quasi-incompressible Navier--Stokes/Cahn--Hilliard model for viscous two-phase flows
   With Mingwen Fei, Xiang Fei and Daozhi Han
   To appear at SIAM J. Math. Anal., 2026.
   Preprint: arXiv:2508.08090

2. A Thermodynamically Consistent Free Boundary Model for Two-Phase Flows in an Evolving Domain with Bulk-Surface Interaction
   With Patrik Knopf
   To appear at Interface Free Bound., 2026.
   Preprint: arXiv:2507.01618

3. Weak solutions and singular limits for a compressible fluid-structure interaction problem with slip boundary conditions
   With Sourav Mitra and Šárka Nečasová
   SIAM J. Math. Anal., 58(3): 2536–2577, 2026.
   DOI:10.1137/25M1736827
   Preprint: arXiv:2405.09908v2

4. Local-in-time existence of strong solutions to a quasi-incompressible Cahn--Hilliard--Navier--Stokes system
   With Mingwen Fei, Xiang Fei and Daozhi Han
   ZAMM, 106 (5): e70443, 2026.
   DOI:10.1002/zamm.70443
   Preprint: arXiv:2411.09455

5. On a diffuse interface model for incompressible viscoelastic two-phase flows
   With Dennis Trautwein
   J. Nonlinear Sci., 35(12): 1–71, 2025.
   DOI:10.1007/s00332-024-10103-w
   Preprint: arXiv:2212.13507

6. Low mach number limit of a diffuse interface model for two-phase flows of compressible viscous fluids
   With Helmut Abels and Šárka Nečasová
   GAMM-Mitteilungen, e202470008, 1–15, 2024.
   DOI:10.1002/gamm.202470008
   Preprint: arXiv:2402.04372

7. Short time existence of a quasi-stationary fluid-structure interaction problem for plaque growth
   With Helmut Abels
   Adv. Nonlinear Anal., 12(1): 20230101, 2023.
   DOI:10.1515/anona-2023-0101
   Preprint: arXiv:2208.06280

8. On a fluid-structure interaction problem for plaque growth: cylindrical domain
   With Helmut Abels
   J. Differential Equations, 345: 334–400, 2023.
   DOI:10.1016/j.jde.2022.11.046
   Preprint: arXiv:2112.12538

9. On a fluid-structure interaction problem for plaque growth
   With Helmut Abels
   Nonlinearity, 36(1): 537–583, 2023.
   DOI:10.1088/1361-6544/aca5e1
   Preprint: arXiv:2110.00042