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math.NA2026
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…
math.NA2026
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…
math.NA2026
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…