Motion of an elastic solid inside an incompressible viscous fluid

Archive for Rational Mechanics and Analysis

Volumn 176, Issue 1, 2005, Pages 25-102

  Coutand, Daniel ^a   Shkoller, Steve ^a  

^a UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 17444394821     PISSN: 00039527     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00205-004-0340-7     Document Type: Article

References (17)

1. BEALE, J.T.: Large-time regularity of viscous surface waves. Arch. Rational Mech. Anal. 84, 307-352 (1983/84)
2. CHAMBOLLE, A., DESJARDINS, B., ESTEBAN, M.J., GRANDMONT, C.: Existence of weak solutions for an unsteady fluid-plate interaction problem. Preprint
3. CIARLET, P.O.: Mathematical Elasticity, Volume II: Theory of Plates. North-Holland, Amsterdam, 1997
4. CONCA, C., SAN MARTIN, J., TUCSNAK, M.: Existence of solutions for the equations modelling the motion of a rigid body in a viscous fluid. Commun. Partial Differential Equations 25, 1019-1042 (2000)
5. DEIMLINO, K.: Nonlinear Functional Analysis. Springer-Verlag, 1985
6. DESJARDINS, B., ESTEBAN, M.J.: Existence of weak solutions for the motion of rigid bodies in a viscous fluid. Arch. Rational Mech. Anal. 146, 59-71 (1999)
7. DESJARDINS, B., Esteban, M.J., GRANDMONT, C., LE TALLEC, P.: Weak solutions for a fluid-structure interaction problem. Rev. Mat. Complut. 14, 523-538 (2001)
8. 2-rregularity theory of linear strongly elliptic Dirichlet systems of order 2m with minimal regularity in the coefficients. Quat. Appl. Math. 60, 547-576 (2002)
9. EVANS, L.C.: Partial Differential Equations. Graduate Studies in Mathematics, 19 American Mathematical Society, Providence, RI, 1998
10. FLORI, F., ORENGA, P.: Fluid-structure interaction: analysis of a 3-D compressible model. Ann. Inst. H. Poincaré Anal. Non Linéaire 17, 753-777 (2000)
11. GRANDMONT, C.: Existence et unicité de solutions d'un problème de couplage fluide-structure bidimensionnel stationnaire. C. R. Acad. Sci. Paris Sér. I.326, 651-656 (1998)
12. GRANDMONT, C., MADAY, Y.: Existence forunsteady fluid-structure interaction problem. Math. Model. Numer. Anal. 34, 609-636 (2000)
13. GUNZBURGER, M.D., LEE, H-C., SEREGIN, G.A.: Global existence of weak solutions for viscous incompressible flows around a moving rigid body in three dimensions. J. Math. Fluid Mech. 2, 219-266 (2000)
14. SERRE, D.: Chute libre d'un solide dans un fluide visqueux incompressible: Existence. Japan J. Appl. Math. 4, 33-73 (1987)
15. SOLONNIKOV, V.A.: Solvability of the problem of evolution of a viscous incompressible fluid bounded by a free surface on a finite time interval. St. Petersburg Math. J. 3, 189-220 (1992)
16. SOLONNIKOV, V.A., ŠČADILOV, V.E.: On a boundary value problem for a stationary system of Navier-Stokes equations. Proc. Steklov Inst. Math. 125, 186-199 (1973)
17. WEINBERGER, H.F.: Variational properties of steady fall in Stokes flow. J. Fluid Mech. 52, 321-344 (1972)