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arXiv · 2505.22026

Two-dimensional equilibrium configurations in Korteweg fluids

M. Gorgone·F. Oliveri·A. Ricciardello·P. Rogolino
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Abstract

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.

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M. Gorgone, F. Oliveri, A. Ricciardello, P. Rogolino. 2025-05-28. Two-dimensional equilibrium configurations in Korteweg fluids. https://doi.org/10.2298/tam220930008g

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