Geodesic
Two-dimensional equilibrium configurations in Korteweg fluids
Theoretical and applied mechanics, Tome 49 (2022) no. 2.

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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.
Keywords: Korteweg fluids, equilibrium configurations 
@article{TAM_2022_49_2_a1,
     author = {M. Gorgone and F. Oliveri and A. Ricciardello and P. Rogolino},
     title = {Two-dimensional equilibrium configurations in {Korteweg} fluids},
     journal = {Theoretical and applied mechanics},
     pages = {111 - 122},
     publisher = {mathdoc},
     volume = {49},
     number = {2},
     year = {2022},
     url = {http://geodesic.mathdoc.fr/item/TAM_2022_49_2_a1/}
}
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M. Gorgone; F. Oliveri; A. Ricciardello; P. Rogolino. Two-dimensional equilibrium configurations in Korteweg fluids. Theoretical and applied mechanics, Tome 49 (2022) no. 2. http://geodesic.mathdoc.fr/item/TAM_2022_49_2_a1/