4 papers · 1 filter
An Onsager Variational Scheme for Pressure-Driven Tumor Growth and Hele-Shaw Limits
Weijie Huang, Xinran Ruan
Pressure-driven tumor growth models describe the coupling between cell proliferation and mechanical pressure and naturally lead to moving free boundary problems. Their numerical ap…
A WKB-based fixed-grid method for capturing trait concentration in a dispersal evolution model
Weijie Huang, Xinran Ruan
The evolution of dispersal traits is a fundamental topic in evolutionary ecology, where natural selection may drive the trait distribution toward concentration in the rare-mutation…
A sharp-interface model for solid-state dewetting with wetting potential
Weijie Huang, Xinran Ruan
We propose a sharp-interface model for solid-state dewetting of thin films with wetting potential, where the wetting effect is incorporated through a thickness-dependent surface en…
An asymptotic preserving scheme for a tumor growth model of porous medium type
Noemi David, Xinran Ruan
Mechanical models of tumor growth based on a porous medium approach have been attracting a lot of interest both analytically and numerically. In this paper, we study the stability…