2 citations · 4 across the 7 of their papers we have counts for
8 papers
Global strong solutions without contact for a viscous fluid interacting with a purely elastic beam
Yadong Liu
We consider a two-dimensional incompressible viscous fluid confined in a periodic channel between a fixed flat wall and a purely elastic periodic beam. For compatible initial fluid…
Higher Order Convergence for the Sharp Interface Limit of 3D Navier--Stokes/Allen--Cahn Systems
Helmut Abels, Mingwen Fei, Yadong Liu +1
We show convergence of solutions to a Navier--Stokes/Allen--Cahn system as the interfacial thickness tends to zero for well-prepared initial data as long as the lim…
Global weak solutions to a diffuse-interface model for quasi-incompressible two-phase flows with unmatched densities and singular potential
Mingwen Fei, Xiang Fei, Yadong Liu +1
We study a thermodynamically consistent diffuse-interface model that describes the motion of two macroscopically immiscible, incompressible, and viscous Newtonian fluids with unmat…
Weak solutions and incompressible limit of a quasi-incompressible Navier--Stokes/Cahn--Hilliard model for viscous two-phase flows
Mingwen Fei, Xiang Fei, Daozhi Han +1
We study a quasi-incompressible Navier--Stokes/Cahn--Hilliard coupled system which describes the motion of two macroscopically immiscible incompressible viscous fluids with partial…
Local-in-time existence of strong solutions to a quasi-incompressible Cahn--Hilliard--Navier--Stokes system
Mingwen Fei, Xiang Fei, Daozhi Han +1
We analyze a quasi-incompressible Cahn--Hilliard--Navier--Stokes system (qCHNS) for two-phase flows with unmatched densities. The order parameter is the volume fraction difference…
Weak solutions and singular limits for a compressible fluid-structure interaction problem with slip boundary conditions
Yadong Liu, Sourav Mitra, Šárka Nečasová
We study a system describing the compressible barotropic fluids interacting with (visco) elastic solid shell/plate. In particular, the elastic structure is part of the moving bound…
On a diffuse interface model for incompressible viscoelastic two-phase flows
Yadong Liu, Dennis Trautwein
This paper concerns a diffuse interface model for the flow of two incompressible viscoelastic fluids in a bounded domain. More specifically, the fluids are assumed to be macroscopi…
Existence of weak solutions to a generalized nonlinear multi-layered fluid-structure interaction problem with the Navier-slip boundary conditions
Wenjun Liu, Yadong Liu, Jun Yu
We consider a fluid-structure interaction problem with Navier-slip boundary conditions in which the fluid is considered as a non-Newtonian fluid and the structure is described by a…