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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
Аннотация:
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.
Ключевые слова:
Korteweg fluids, equilibrium configurations.
Поступила в редакцию: 30.09.2022 Исправленный вариант: 28.10.2022
Образец цитирования:
M. Gorgone, F. Oliveri, A. Ricciardello, P. Rogolino, “Two-dimensional equilibrium configurations in Korteweg fluids”, Theor. Appl. Mech., 49:2 (2022), 111–122
Образцы ссылок на эту страницу:
https://www.mathnet.ru/rus/tam117 https://www.mathnet.ru/rus/tam/v49/i2/p111
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