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September 29, 2025Open Access

Navier-Stokes/Allen-Cahn system with moving contact line

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Authors

YLYinghua LiNanjing University of Science and Technology YYYuanxiang YanShanghai Advanced Research Institute XYXinyou YinWageningen University & Research

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Implication

This work reports unique strong solutions of fluid dynamics governed by navier-stokes equations and allen-cahn equations in moving contact line scenarios.

Key Points

Unique strong solutions exist for the navier-stokes/allen-cahn system, ensuring stability in two-phase flows and phase transitions.
The study proves strong solutions are extendable over large time frames in both 2D and 3D channels under specific boundary conditions.
Local existence of solutions is successfully shown when utilizing generalized navier boundary conditions and relaxation boundary conditions.
The findings highlight global solutions' behavior near phase separation states, particularly under conditions of small fluid-fluid interface tension.

Cite This Study

Li et al. (2025) studied this question.

synapsesocial.com/papers/68da58c9c1728099cfd109ce https://doi.org/10.48550/arxiv.2503.08334

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Implication

This work reports unique strong solutions of fluid dynamics governed by navier-stokes equations and allen-cahn equations in moving contact line scenarios.

Navier-Stokes/Allen-Cahn system with moving contact line

Discussion

Member takes

Implication

Key Points

Cite This Study

Navier-Stokes/Allen-Cahn system with moving contact line

Discussion

Member takes

Implication

Key Points

Cite This Study

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