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math.AP2026
Well-posedness and blow-up criterion for strong solutions of the compressible Navier-Stokes/Allen-Cahn system with vacuum
Yinghua Li, Haoran Zheng, Junquan Zhou
This paper is devoted to the study of strong solutions for the compressible Navier-Stokes/Allen-Cahn system in bounded domain , allowing for the presence of in…
math.AP2023
Well-posedness of Navier-Stokes/Cahn-Hilliard equations modeling the dynamics of contact line in a channel
Shijin Ding, Yinghua Li, Zhilin Lin +1
In this paper, we study the contact line problem in a channel. Precisely, we consider the incompressible Navier-Stokes/Cahn-Hilliard system with eneralized Navier boundary conditio…
math.AP2021★ 2 cited
Strong Solutions for 1D Compressible Navier-Stokes/Allen-Cahn System with Phase Variable Dependent Viscosity
Yuanxiang Yan, Shijin Ding, Yinghua Li
This paper is concerned with a non-isentropic compressible Navier-Stokes/Allen-Cahn system with phase variable dependent viscosity and temperature dependent heat-conduct…