@article{M2AN_2000__34_3_609_0, author = {Grandmont, C\'eline and Maday, Yvon}, title = {Existence for an unsteady fluid-structure interaction problem}, journal = {ESAIM: Mod\'elisation math\'ematique et analyse num\'erique}, pages = {609--636}, publisher = {Dunod}, address = {Paris}, volume = {34}, number = {3}, year = {2000}, mrnumber = {1763528}, zbl = {0969.76017}, language = {en}, url = {http://www.numdam.org/item/M2AN_2000__34_3_609_0/} }
TY - JOUR AU - Grandmont, Céline AU - Maday, Yvon TI - Existence for an unsteady fluid-structure interaction problem JO - ESAIM: Modélisation mathématique et analyse numérique PY - 2000 SP - 609 EP - 636 VL - 34 IS - 3 PB - Dunod PP - Paris UR - http://www.numdam.org/item/M2AN_2000__34_3_609_0/ LA - en ID - M2AN_2000__34_3_609_0 ER -
%0 Journal Article %A Grandmont, Céline %A Maday, Yvon %T Existence for an unsteady fluid-structure interaction problem %J ESAIM: Modélisation mathématique et analyse numérique %D 2000 %P 609-636 %V 34 %N 3 %I Dunod %C Paris %U http://www.numdam.org/item/M2AN_2000__34_3_609_0/ %G en %F M2AN_2000__34_3_609_0
Grandmont, Céline; Maday, Yvon. Existence for an unsteady fluid-structure interaction problem. ESAIM: Modélisation mathématique et analyse numérique, Volume 34 (2000) no. 3, pp. 609-636. http://www.numdam.org/item/M2AN_2000__34_3_609_0/
[1] Sobolev spaces Academic Press, New York NY, San Francisco CA, London (1975). | MR | Zbl
,[2] Un problème de Navier-Stokes avec surface libre. Thèse de troisième cycle de l'Université Paris VI, France (1983).
,[3] Small-time existence for the Navier-Stokes equations with a free surface. Appl. Math. Optim., 16 (1987) 37-50. | MR | Zbl
,[4]The Initial Value Problem for the Navier-Stokes Equation with a Free Surface. Comm. Pure Appl. Math., XXXIV (1981) 359-392. | MR | Zbl
,[5] Analyse fonctionnelle: Théorie et applications. Masson, Paris (1983). | MR | Zbl
,[6] Motion of a rigid body in viscous fluid. C. R. Acad. Sci Paris Sèrie I 32 (1999) 473-478. | MR | Zbl
, and ,[7] Existence of weak solutions for the motion of rigid bodies in a viscous fluid. Arch. Ration Mech. Anal. 146 (1999) 59-71. | MR | Zbl
and ,[8] On weak solutions for fluid-rigid structure interaction: compressible and incompressible models. Comm. Partial Differ. Eq. (to appear) | MR | Zbl
and ,[9] Mécanique des milieux continus. Masson, Paris, Milan, Barcelone, Mexico (1990)
,[10] Finite Element Methods for Navier-Stokes Equations. Springer-Verlag, Berlin Heidelberg (1986). | MR | Zbl
and ,[11] Fluid-particule flow a symmetric formulation. C. R. Acad. Sci. Paris Sér. I Math. t. 324, (1997) 1079-1084. | MR | Zbl
and ,[12] Existence de solutions d'un problème de couplage fluide-structure bidimensionnel instationnaire. C. R. Acad. Sci. Paris Sér. I Math. t. 326, (1998) 525-530. | MR | Zbl
and ,[13] Finite-element approximation of the nonstationnary. Navier-Stokes problem. Part III. Smoothing property and higher order error estimates for spatial discrétisation SIAM J. Numer. Anal. 25 (1988) 489-512. | MR | Zbl
and ,[14] Problèmes aux limites non homogènes et applications. T. I et II, Dunod, Paris (1968). | Zbl
and ,[15] Chute libre d'un solide dans un fluide visqueux incompressible : Existence. Japan J. Appl. Math. 4 (1987) 33-73. | MR | Zbl
,[16] Solvability of a Problem on the Motion of a Viscous Incompressible Fluid Bounded by a Free Surface. Math. USSR Izvestiya 4-1 (1977) 1388-1424. | MR | Zbl
,[17] On the Transiant Motion of an Isolated Volume of Viscous Incompressible Fluid. Math. USSR Izvestiya 31 (1988) 381-405. | MR | Zbl
,[18] Unsteady motion of a finite mass of fluid, bounded by a free surface J. Soviet. Math. 40 (1988) 672-686. | MR | Zbl
,[19] Navier-Stokes Equations. North-Holland Pubhsling Company (1977). | MR | Zbl
,