References
- Zhikov VV . New approach to the solvability of generalized Navier--Stokes equations. Funct Anal Appl. 2009;43:190–207.
- Cherednichenko KD , Smyshlyaev VP , Zhikov VV . Non-local homogenized limits for composite media with highly anisotropic periodic fibres. Proc R Soc Edinburgh Sec A Math. 2006;136:87–114.
- Clopeau Th , Ferrin JL , Gilbert RP , et al . Homogenizing the acoustic properties of the seabed: Part II. Math Comput Model. 2001;33:821–841.
- Ćurković A , Marušić-Paloka E . Existence and uniqueness of solution for fluid-plate interaction problem. Appl Anal. 2016;95:715–730.
- Desjardins B , Esteban MJ , Grandmont C , et al . Weak solutions for a fluid-structure interaction model. Rev Mat Comput. 2001;14:523–538.
- Gilbert RP , Mikelić A . Homogenizing the acoustic properties of the seabed: Part I. Nonlinear Anal Theory Methods Appl. 2000;40:185–212.
- Grandmont C , Maday Y . Existence for an unsteady fluid-structure interaction problem. Math Model Numer Anal. 2000;34:609–636.
- Mikelić A , Guidoboni G , Čanić S . Fluid-structure interaction in a pre-stressed tube with thick elastic walls I The stationary Stokes problem. Netw Heterog Media. 2007;2:397–423.
- Panasenko GP , Sirakov Y , Stavre R . Asymptotic and numerical modelling of a flow in a thin channel with visco-elastic wall. Int J Multiscale Comput Eng. 2007;5:473–482.
- Panasenko GP , Stavre R . Asymptotic analysis of a viscous fluid-thin plate interaction: periodic flow. Math Mod Meth Appl Sci. 2014;24:1781–1822.
- Beneš M , Pažanin I . Effective flow of incompressible micropolar fluid through a system of thin pipes. Acta Appl Math. 2016;143:29–43.
- Panasenko GP , Stavre R . Asymptotic analysis of the Stokes flow in a thin cylindrical elastic tube. Appl Anal. 2012;91(2):1999–2027.
- Duvaut G , Lions JL . Les inéquations en mécanique et en physique. Paris: Dunod; 1972.
- Temam R . Navier--Stokes equations: theory & numerical analysis. Amsterdam: North-Holland; 1984.
- Wloka J . Partial differential equations. Cambridge: Cambridge University Press; 1987.
- Panasenko GP , Stavre R . Viscous fluid-thin cylindrical elastic layer interaction: asymptotic analysis. Appl Anal. 2014;93(10):2032–2056.
- Galdi P . An introduction to the mathematical theory of Navier--Stokes equations. New York (NY): Springer-Verlag; 1994.