An existence result for a compressible fluid pattern coupled to a cylindrical shell

Nonlinear Analysis: Real World Applications

Volumn 7, Issue 2, 2006, Pages 308-318

  Flori, F ^a   Giudicelli, B ^a   Orenga, P ^a  

^a UNIVERSITÉ DE CORSE   (France)

Author keywords

Navier Stokes

Indexed keywords

COMPRESSIBLE FLOW; FLUID DYNAMICS; NAVIER STOKES EQUATIONS;

ARTERIAL FLOW; COMPRESSIBLE FLUID PATTERN; ELASTICAL CYLINDRICAL SHELLS;

MATHEMATICAL MODELS;

EID: 28444462229     PISSN: 14681218     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.nonrwa.2005.03.011     Document Type: Article

References (11)

1. F. Flori, and P. Orenga On a nonlinear fluid-structure interaction problem defined on a domain depending on time Nonlinear Anal. 38 1999 549 569
2. F. Flori, and P. Orenga Fluid-structure interaction analysis of a 3-D compressible model les Annales de l'Institut Henri Poincaré. Analyse non linéaire 17 6 2000 753 777
3. H. Beirao da vega On the existence of strong solutions to a coupled fluid-structure evolution problem J. Math. Fluid. Mech. 6 2004 21 52
4. A. Chambolle, B. Desjardins, M.J. Esteban, C. Grandmont, Existence of weak solutions for an unsteady fluid-plate interaction problem, Cahier du CEREMADE, 0245, 2003.
5. F.J. Chatelon, and P. Orenga On a non-homogeneous shallow water problem Math. Model. Numer. Anal. 1 31 1997 27 55
6. R. Del Rosario, and R.C. Smith Spline Approximation of thin shell dynamics Int. J. Numer. Methods Eng. 40 1997 2807 2840
7. B. Desjardins, M.J. Esteban, C. Grandmont, and P. LeTallec Weak solutions for fluid-elastic structure interaction model Revista Matemàtica U.C.M. 14 2 2001 523 538
8. P.-L. Lions Mathematical Topics in Fluid Mechanics vol. 2 1998 Clarendon Press Oxford
9. P. Orenga, Un théorème d'existence de solution d'un probléme de shallow water, Archive Rational Mech. Anal., 1994.
10. A. Quarteroni, M. Tuveri, and A. Veneziani Computational vascular fluid dynamics problems, models and methods Comput. Visualisation Sci. 2 2000 163 197
11. R. Salvi On the existence of weak solution of a non linear mixed problem for the Navier-Stokes equations in a time dependent domain J. Fac. Sci. Univ. Tokyo, Sect. IA Math. 32 1985 213 221