An optimal control problem for Stokes-Cahn-Hilliard-Oono equations with regular potential
Fuente:
arXiv
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| Natura: | Preprint |
| Pubblicazione: |
2026
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| _version_ | 1866910205822894080 |
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| author | Kundu, Arghya |
| author_facet | Kundu, Arghya |
| contents | This article discusses an optimal control problem for a phase field model of two immiscible incompressible fluid flow, incorporating surface tension effects. The optimal control problem is defined with a $L^2$-cost functional and subject to the constraints governed by a system of coupled Stokes-Cahn-Hilliard-Oono equations. In this model, fluids are separated by a dynamic diffuse interface of finite width. We investigate the optimality condition of a given control. Initially, we establish the existence of an optimal solution for the coupled optimal control problem. Subsequently, we derive the optimality condition with respect to the corresponding adjoint system. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2605_09207 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | An optimal control problem for Stokes-Cahn-Hilliard-Oono equations with regular potential Kundu, Arghya Optimization and Control This article discusses an optimal control problem for a phase field model of two immiscible incompressible fluid flow, incorporating surface tension effects. The optimal control problem is defined with a $L^2$-cost functional and subject to the constraints governed by a system of coupled Stokes-Cahn-Hilliard-Oono equations. In this model, fluids are separated by a dynamic diffuse interface of finite width. We investigate the optimality condition of a given control. Initially, we establish the existence of an optimal solution for the coupled optimal control problem. Subsequently, we derive the optimality condition with respect to the corresponding adjoint system. |
| title | An optimal control problem for Stokes-Cahn-Hilliard-Oono equations with regular potential |
| topic | Optimization and Control |
| url | https://arxiv.org/abs/2605.09207 |