References
- Desjardins , B , Esteban , MJ , Grandmont , C and le Talec , P . 2001 . Weak solutions for a fluid-structure interaction model . Rev. Mat. Comput. , 14 : 523 – 538 .
- Desjardins , B and Esteban , MJ . 1999 . Existence of weak solutions for the motion of rigid bodies in a viscous fluid . Arch. Rational Mech. Anal. , 146 : 59 – 71 .
- Grandmont , C and Maday , Y . 2000 . Existence for an unsteady fluid-structure interaction problem . M2AN Math. Model. Numer. Anal. , 34 : 609 – 636 .
- Panasenko , GP and Stavre , R . 2006 . Asymptotic analysis of a periodic flow in a thin channel with visco-elastic wall . J. Math. Pures Appl , 85 ( 9 ) : 558 – 579 .
- Panasenko , GP and Stavre , R . 2008 . Asymptotic analysis of a non-periodic flow in a thin channel with visco-elastic wall . Netw. Heterog. Media , 3 : 651 – 673 .
- Panasenko , GP , Sirakov , Y and Stavre , R . 2007 . Asymptotic and numerical modelling of a flow in a thin channel with visco-elastic wall . Int. J. Multiscale Comput. Eng. , 5 : 473 – 482 .
- Panasenko , GP and Stavre , R . 2010 . Asymptotic analysis of a non-periodic flow with variable viscosity in a thin elastic channel . Netw. Heterog. Media , 5 : 783 – 812 .
- V. Maz'ya, Sobolev Spaces (Translated from the Russian by T.O. Shaposhnikova), Springer Series in Soviet Mathematics, Springer-Verlag, Berlin, 1985
- Galdi , GP . 1994 . An Introduction to the Mathematical Theory of the Navier–Stokes Equations , Vol. I , New York : Springer-Verlag .
- Kozlov , V , Maz'ya , V and Movchan , A . 1999 . Asymptotic Analysis of Fields in Multi-structures, Oxford Mathematical Monographs , New York : Oxford Science Publications, The Clarendon Press, Oxford University Press .
- V. Maz'ya, S. Nazarov, and B. Plamenevskij, Asymptotic Theory of Elliptic Boundary Value Problems in Singularly Perturbed Domains Vols. I, II (translated from the German by Georg Heinig and Christian Posthoff), Operator Theory: Advances and Applications, Vols. 111, 112, Birkhauser Verlag, Basel, 2000
- Panasenko , GP . 2005 . Multi-Scale Modelling for Structures and Composites , Dordrecht : Springer .
- Čanić , S and Mikelić , A . 2002 . Effective equations describing the flow of a viscous incompressible fluid through a long elastic tube . C. R. Acad. Sci. Paris, Sér. IIb , 330 : 661 – 666 .
- Temam , R . 1977 . Navier–Stokes Equations , Amsterdam : North-Holland .