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Theoretical and Applied Mechanics, 2022, Volume 49, Issue 2, Pages 111–122
DOI: https://doi.org/10.2298/TAM220930008G (Mi tam117) 		 
Two-dimensional equilibrium configurations in Korteweg fluids

M. Gorgonea, F. Oliveria, A. Ricciardellob, P. Rogolinoa

a Department of Mathematical and Computer Sciences, Physical Sciences and Earth Sciences, University of Messina, Messina, Italy
b Faculty of Engineering and Architecture, Kore University of Enna, Cittadella Universitaria, Enna, Italy
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DOI: https://doi.org/10.2298/TAM220930008G
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.
Keywords: Korteweg fluids, equilibrium configurations.
Funding agency Grant number
Istituto Nazionale di Alta Matematica Francesco Severi
This paper was supported by the ``Gruppo Nazionale per la Fisica Matematica'' (GNFM) of the Istituto Nazionale di Alta Matematica (INdAM), by University of Messina and Kore University of Enna.
Received: 30.09.2022
Revised: 28.10.2022
Document Type: Article
MSC: Primary 76-10; Secondary 76A10; 76M20
Language: English
Citation: M. Gorgone, F. Oliveri, A. Ricciardello, P. Rogolino, “Two-dimensional equilibrium configurations in Korteweg fluids”, Theor. Appl. Mech., 49:2 (2022), 111–122
Citation in format AMSBIB
\Bibitem{GorOliRic22}
\by M.~Gorgone, F.~Oliveri, A.~Ricciardello, P.~Rogolino
\paper Two-dimensional equilibrium configurations in Korteweg fluids
\jour Theor. Appl. Mech.
\yr 2022
\vol 49
\issue 2
\pages 111--122
\mathnet{http://mi.mathnet.ru/tam117}
\crossref{https://doi.org/10.2298/TAM220930008G}
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