134 citations · 161 across the 19 of their papers we have counts for
19 papers · 1 filter
Phase-Field Models, Sharp Interface Limits, and Numerical Schemes for Contact Line Dynamics
Guosheng Fu, Yuan Gao, Jian-Guo Liu
We study phase-field and sharp-interface models for contact line dynamics of a liquid droplet on a solid substrate within a unified variational framework. The motion of the contact…
In search of local singularities in ideal potential flows with free surface
Jian-Guo Liu, Robert L. Pego
For ideal fluid flow with zero surface tension and gravity, it remains unknown whether local singularities on the free surface can develop in well-posed initial value problems with…
Existence and incompressible limit of a tissue growth model with autophagy
Jian-Guo Liu, Xiangsheng Xu
In this paper we study a cross-diffusion system whose coefficient matrix is non-symmetric and degenerate. The system arises in the study of tissue growth with autophagy. The existe…
Field model for complex ionic fluids: analytical properties and numerical investigation
Jian-Guo Liu, Jinhuan Wang, Yu Zhao +1
In this paper, we consider the field model for complex ionic fluids with an energy variational structure, and analyze the well-posedness to this model with regularized kernels. Fur…
Towards understanding the boundary propagation speeds in tumor growth models
Jian-Guo Liu, Min Tang, Li Wang +1
At the continuous level, we consider two types of tumor growth models: the cell density model, which is based on the fluid mechanical construction, is more favorable for scientific…
Self-similar spreading in a merging-splitting model of animal group size
Jian-Guo Liu, Barbara Niethammer, Robert L. Pego
In a recent study of certain merging-splitting models of animal-group size (Degond et al., J. Nonl. Sci. 27 (2017) 379), it was shown that an initial size distribution with infinit…