Higher Order Convergence for the Sharp Interface Limit of 3D Navier–Stokes/Allen–Cahn Systems
Preprint, 2026
Publications
Preprints and peer-reviewed articles on nonlinear PDEs, fluid mechanics, and evolving interfaces.
Preprints
2026
Weak solutions and incompressible limit of a quasi-incompressible Navier–Stokes/Cahn–Hilliard model for viscous two-phase flows
SIAM Journal on Mathematical Analysis, to appear, 2026
A Thermodynamically Consistent Free Boundary Model for Two-Phase Flows in an Evolving Domain with Bulk-Surface Interaction
Interfaces and Free Boundaries, to appear, 2026
Weak solutions and singular limits for a compressible fluid-structure interaction problem with slip boundary conditions
SIAM Journal on Mathematical Analysis 58(3), 2536–2577 (2026)
Local-in-time existence of strong solutions to a quasi-incompressible Cahn–Hilliard–Navier–Stokes system
ZAMM 106(5), e70443 (2026)
2025
On a diffuse interface model for incompressible viscoelastic two-phase flows
Journal of Nonlinear Science 35, Article 12, 1–71 (2025)
2024
Low Mach Number Limit of a Diffuse Interface Model for Two-Phase Flows of Compressible Viscous Fluids
GAMM-Mitteilungen 47, e202470008, 1–15 (2024)
2023
Short time existence of a quasi-stationary fluid-structure interaction problem for plaque growth
Advances in Nonlinear Analysis 12(1), 20230101 (2023)
On a fluid-structure interaction problem for plaque growth: cylindrical domain
Journal of Differential Equations 345, 334–400 (2023)
On a fluid-structure interaction problem for plaque growth
Nonlinearity 36(1), 537–583 (2023)