@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},
year = {2000},
publisher = {Dunod},
volume = {34},
number = {3},
mrnumber = {1763528},
zbl = {0969.76017},
language = {en},
url = {https://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 UR - https://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 %U https://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, Tome 34 (2000) no. 3, pp. 609-636. https://www.numdam.org/item/M2AN_2000__34_3_609_0/
[1] , Sobolev spaces Academic Press, New York NY, San Francisco CA, London (1975). | Zbl | MR
[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. | Zbl | MR
[4], The Initial Value Problem for the Navier-Stokes Equation with a Free Surface. Comm. Pure Appl. Math., XXXIV (1981) 359-392. | Zbl | MR
[5] , Analyse fonctionnelle: Théorie et applications. Masson, Paris (1983). | Zbl | MR
[6] , and , Motion of a rigid body in viscous fluid. C. R. Acad. Sci Paris Sèrie I 32 (1999) 473-478. | Zbl | MR
[7] and , Existence of weak solutions for the motion of rigid bodies in a viscous fluid. Arch. Ration Mech. Anal. 146 (1999) 59-71. | Zbl | MR
[8] and , On weak solutions for fluid-rigid structure interaction: compressible and incompressible models. Comm. Partial Differ. Eq. (to appear) | Zbl | MR
[9] , Mécanique des milieux continus. Masson, Paris, Milan, Barcelone, Mexico (1990)
[10] and , Finite Element Methods for Navier-Stokes Equations. Springer-Verlag, Berlin Heidelberg (1986). | Zbl | MR
[11] and , Fluid-particule flow a symmetric formulation. C. R. Acad. Sci. Paris Sér. I Math. t. 324, (1997) 1079-1084. | Zbl | MR
[12] and , 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. | Zbl | MR
[13] and , 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. | Zbl | MR
[14] and , Problèmes aux limites non homogènes et applications. T. I et II, Dunod, Paris (1968). | Zbl
[15] , Chute libre d'un solide dans un fluide visqueux incompressible : Existence. Japan J. Appl. Math. 4 (1987) 33-73. | Zbl | MR
[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. | Zbl | MR
[17] , On the Transiant Motion of an Isolated Volume of Viscous Incompressible Fluid. Math. USSR Izvestiya 31 (1988) 381-405. | Zbl | MR
[18] , Unsteady motion of a finite mass of fluid, bounded by a free surface J. Soviet. Math. 40 (1988) 672-686. | Zbl | MR
[19] , Navier-Stokes Equations. North-Holland Pubhsling Company (1977). | Zbl | MR






