Geodesic
Mathematical modeling of the equilibrium problem for a soft biological shell. I. Generalized statement
Učënye zapiski Kazanskogo universiteta. Seriâ Fiziko-matematičeskie nauki, Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, Tome 154 (2012) no. 4, pp. 57-73

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A mathematical model of the equilibrium problem for a soft biological shell (small intestine) is constructed. The biological shell is modeled by a soft network shell formed by two families of mutually intersecting reinforcing filaments in the longitudinal and radial directions. A generalized formulation of the problem as a variational inequality with pseudomonotone operators is given. The solvability of the variational inequality is examined.
Keywords: soft biological shell, mathematical model, variational inequality, iterative method. 
@article{UZKU_2012_154_4_a5,
     author = {G. R. Abdyusheva and I. B. Badriev and V. V. Banderov and O. A. Zadvornov and R. R. Tagirov},
     title = {Mathematical modeling of the equilibrium problem for a~soft biological {shell.~I.} {Generalized} statement},
     journal = {U\v{c}\"enye zapiski Kazanskogo universiteta. Seri\^a Fiziko-matemati\v{c}eskie nauki},
     pages = {57--73},
     publisher = {mathdoc},
     volume = {154},
     number = {4},
     year = {2012},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/UZKU_2012_154_4_a5/}
}
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G. R. Abdyusheva; I. B. Badriev; V. V. Banderov; O. A. Zadvornov; R. R. Tagirov. Mathematical modeling of the equilibrium problem for a soft biological shell. I. Generalized statement. Učënye zapiski Kazanskogo universiteta. Seriâ Fiziko-matematičeskie nauki, Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, Tome 154 (2012) no. 4, pp. 57-73. http://geodesic.mathdoc.fr/item/UZKU_2012_154_4_a5/