Geodesic
Two-dimensional equilibrium configurations in Korteweg fluids
Theoretical and applied mechanics, Tome 49 (2022) no. 2, p. 111

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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.
DOI : 10.2298/TAM220930008G
Classification : 76-10, 76A10, 76M20
Keywords: Korteweg fluids, equilibrium configurations 
M. Gorgone; F. Oliveri; A. Ricciardello; P. Rogolino. Two-dimensional equilibrium configurations in Korteweg fluids. Theoretical and applied mechanics, Tome 49 (2022) no. 2, p. 111 . doi: 10.2298/TAM220930008G
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     title = {Two-dimensional equilibrium configurations in {Korteweg} fluids},
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     year = {2022},
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