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| Hauptverfasser: | , , , |
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| Online-Zugang: | https://arxiv.org/abs/2505.22026 |
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| _version_ | 1866918037184053248 |
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| author | Gorgone, M. Oliveri, F. Ricciardello, A. Rogolino, P. |
| author_facet | Gorgone, M. Oliveri, F. Ricciardello, A. Rogolino, P. |
| contents | In this paper, after reviewing the form of the constitutive equations for a third grade Korteweg fluid, recently derived by means of an extended Liu procedure, an equilibrium problem is investigated. By considering a two--dimensional setting, it is derived a single nonlinear elliptic equation such that the equilibrium conditions are identically satisfied. Such an equation is discussed both analytically and numerically. Moreover, by considering a particular boundary value problem of Dirichlet type, some preliminary numerical solutions are presented. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_22026 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Two-dimensional equilibrium configurations in Korteweg fluids Gorgone, M. Oliveri, F. Ricciardello, A. Rogolino, P. Mathematical Physics 76A10 - 76M20 In this paper, after reviewing the form of the constitutive equations for a third grade Korteweg fluid, recently derived by means of an extended Liu procedure, an equilibrium problem is investigated. By considering a two--dimensional setting, it is derived a single nonlinear elliptic equation such that the equilibrium conditions are identically satisfied. Such an equation is discussed both analytically and numerically. Moreover, by considering a particular boundary value problem of Dirichlet type, some preliminary numerical solutions are presented. |
| title | Two-dimensional equilibrium configurations in Korteweg fluids |
| topic | Mathematical Physics 76A10 - 76M20 |
| url | https://arxiv.org/abs/2505.22026 |