Local-in-time existence of strong solutions to a quasi-incompressible Cahn--Hilliard--Navier--Stokes system
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arXiv
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| Autori principali: | , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866908994521530368 |
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| author | Fei, Mingwen Fei, Xiang Han, Daozhi Liu, Yadong |
| author_facet | Fei, Mingwen Fei, Xiang Han, Daozhi Liu, Yadong |
| contents | We analyze a quasi-incompressible Cahn--Hilliard--Navier--Stokes system (qCHNS) for two-phase flows with unmatched densities. The order parameter is the volume fraction difference of the two fluids, while mass-averaged velocity is adopted. This leads to a quasi-incompressible model where the pressure also enters the equation of the chemical potential. We establish local existence and uniqueness of strong solutions by the Banach fixed point theorem and the maximal regularity theory. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2411_09455 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Local-in-time existence of strong solutions to a quasi-incompressible Cahn--Hilliard--Navier--Stokes system Fei, Mingwen Fei, Xiang Han, Daozhi Liu, Yadong Analysis of PDEs 35Q35, 76D03, 76T99, 35Q30, 76D05 We analyze a quasi-incompressible Cahn--Hilliard--Navier--Stokes system (qCHNS) for two-phase flows with unmatched densities. The order parameter is the volume fraction difference of the two fluids, while mass-averaged velocity is adopted. This leads to a quasi-incompressible model where the pressure also enters the equation of the chemical potential. We establish local existence and uniqueness of strong solutions by the Banach fixed point theorem and the maximal regularity theory. |
| title | Local-in-time existence of strong solutions to a quasi-incompressible Cahn--Hilliard--Navier--Stokes system |
| topic | Analysis of PDEs 35Q35, 76D03, 76T99, 35Q30, 76D05 |
| url | https://arxiv.org/abs/2411.09455 |