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physics.flu-dyn2025
Phase-Field Modeling and Energy-Stable Schemes for Osmotic Flow through Semi-Permeable
Ruihan Guo, Jie Shen, Shixin Xu +1
We present a thermodynamically consistent phase-field model for simulating fluid transport across semi-permeable membranes, with a particular focus on osmotic pressure effects. The…
math.NA2025
Numerical analysis of a semi-implicit Euler scheme for the Keller-Segel model
Xueling Huang, Olivier Goubet, Jie Shen
We study the properties of a semi-implicit Euler scheme that is widely used in time discretization of Keller-Segel equations both in the parabolic-elliptic form and the parabolic-p…