15 citations · 40 across the 17 of their papers we have counts for
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A positive-conservative Fourier optimization method for ground states of Bose--Einstein condensates with higher-order interactions
Bo Lin, Xinran Ruan
We develop a positive-conservative Fourier optimization (PCFO) method for computing ground states of Bose--Einstein condensates with higher-order interactions. The ground-state pro…
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…
Ground states and droplet regimes of the extended Gross-Pitaevskii equation with Lee-Huang-Yang correction
Weijie Huang, Yang Liu, Xinran Ruan
We study the ground states of the extended Gross--Pitaevskii equation with the Lee--Huang--Yang correction from both theoretical and numerical perspectives. Starting from the three…