Enregistré dans:
| Auteurs principaux: | , , , |
|---|---|
| Format: | Preprint |
| Publié: |
2026
|
| Sujets: | |
| Accès en ligne: | https://arxiv.org/abs/2605.19427 |
| Tags: |
Ajouter un tag
Pas de tags, Soyez le premier à ajouter un tag!
|
| _version_ | 1866917510248398848 |
|---|---|
| author | Mukhopadhyay, Sanghasri Millet, Séverine Di Pierro, Bastien Mukhopadhyay, Asim |
| author_facet | Mukhopadhyay, Sanghasri Millet, Séverine Di Pierro, Bastien Mukhopadhyay, Asim |
| contents | A conservation-consistent boundary condition is proposed for nonlinear models of soluble-surfactant-laden falling films, ensuring exact conservation of total surfactant mass. The formulation resolves an inconsistency in widely used reduced models, Pascal et al. (PRF, 2019), D'Alessio et al. (JFM, 2020), which exhibit a gradual drift of mass during nonlinear evolution in a closed periodic domain. We show that this originates from an inconsistency in the surface transport reduction and derive a corrected boundary condition that removes this defect. As the discrepancy appears only at the nonlinear order, linear stability results remain unaffected, explaining why the issue has remained unnoticed. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2605_19427 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | A conservation-consistent boundary condition for nonlinear models of soluble-surfactant-laden falling films Mukhopadhyay, Sanghasri Millet, Séverine Di Pierro, Bastien Mukhopadhyay, Asim Analysis of PDEs Fluid Dynamics A conservation-consistent boundary condition is proposed for nonlinear models of soluble-surfactant-laden falling films, ensuring exact conservation of total surfactant mass. The formulation resolves an inconsistency in widely used reduced models, Pascal et al. (PRF, 2019), D'Alessio et al. (JFM, 2020), which exhibit a gradual drift of mass during nonlinear evolution in a closed periodic domain. We show that this originates from an inconsistency in the surface transport reduction and derive a corrected boundary condition that removes this defect. As the discrepancy appears only at the nonlinear order, linear stability results remain unaffected, explaining why the issue has remained unnoticed. |
| title | A conservation-consistent boundary condition for nonlinear models of soluble-surfactant-laden falling films |
| topic | Analysis of PDEs Fluid Dynamics |
| url | https://arxiv.org/abs/2605.19427 |