@article{AIHPC_2009__26_3_777_0, author = {Boulakia, M. and Guerrero, S.}, title = {A Regularity Result for a Solid-Fluid System Associated to the Compressible Navier-Stokes Equations}, journal = {Annales de l'I.H.P. Analyse non lin\'eaire}, volume = {26}, year = {2009}, pages = {777-813}, doi = {10.1016/j.anihpc.2008.02.004}, mrnumber = {2526402}, zbl = {1177.35146}, language = {en}, url = {http://dml.mathdoc.fr/item/AIHPC_2009__26_3_777_0} }
Boulakia, M.; Guerrero, S. A Regularity Result for a Solid-Fluid System Associated to the Compressible Navier-Stokes Equations. Annales de l'I.H.P. Analyse non linéaire, Tome 26 (2009) pp. 777-813. doi : 10.1016/j.anihpc.2008.02.004. http://gdmltest.u-ga.fr/item/AIHPC_2009__26_3_777_0/
[1] On the Existence of Strong Solutions to a Coupled Fluid-Structure Evolution Problem, J. Math. Fluid Mech. 6 (1) (2004) 21-52. | MR 2027753 | Zbl 1068.35087
,[2] Existence of Weak Solutions for an Interaction Problem Between an Elastic Structure and a Compressible Viscous Fluid, J. Math. Pures Appl. 84 (11) (2005) 1515-1554. | MR 2181459 | Zbl 1159.35395
,[3] Existence of Weak Solutions for the Three Dimensional Motion of an Elastic Structure in an Incompressible Fluid, J. Math. Fluid Mech. 9 (2) (2007) 262-294. | MR 2329269 | Zbl 1171.74337
,[4] Existence of Weak Solutions for the Unsteady Interaction of a Viscous Fluid With an Elastic Plate, J. Math. Fluid Mech. 7 (3) (2005) 368-404. | MR 2166981 | Zbl 1080.74024
, , , ,[5] Existence of Solutions for the Equations Modelling the Motion of a Rigid Body in a Viscous Fluid, Comm. Partial Differential Equations 25 (5-6) (2000) 1019-1042. | MR 1759801 | Zbl 0954.35135
, , ,[6] Motion of an Elastic Solid Inside an Incompressible Viscous Fluid, Arch. Ration. Mech. Anal. 176 (1) (2005) 25-102. | MR 2185858 | Zbl 1064.74057
, ,[7] On Weak Solutions for Fluid-Rigid Structure Interaction: Compressible and Incompressible Models, Comm. Partial Differential Equations 25 (7-8) (2000) 1399-1413. | MR 1765138 | Zbl 0953.35118
, ,[8] Weak Solutions for a Fluid-Elastic Structure Interaction Model, Rev. Mat. Complut. 14 (2) (2001) 523-538. | MR 1871311 | Zbl 1007.35055
, , , ,[9] On the Existence of Globally Defined Weak Solutions to the Navier-Stokes Equations, J. Math. Fluid Mech. 3 (4) (2001) 358-392. | MR 1867887 | Zbl 0997.35043
, , ,[10] On the Motion of Rigid Bodies in a Viscous Compressible Fluid, Arch. Ration. Mech. Anal. 167 (4) (2003) 281-308. | MR 1981859 | Zbl 1090.76061
,[11] Dynamics of Viscous Compressible Fluids, Oxford Science Publications, Oxford, 2004. | MR 2040667 | Zbl 1080.76001
,[12] Existence for an Unsteady Fluid-Structure Interaction Problem, M2AN Math. Model. Numer. Anal. 34 (3) (2000) 609-636. | Numdam | MR 1763528 | Zbl 0969.76017
, ,[13] Global Solutions of the Navier-Stokes Equations for Multidimensional Compressible Flow With Discontinuous Initial Data, J. Differential Equations 120 (1) (1995) 215-254. | MR 1339675 | Zbl 0836.35120
,[14] Strong Convergence to Global Solutions for Multidimensional Flows of Compressible, Viscous Fluids With Polytropic Equations of State and Discontinuous Initial Data, Arch. Ration. Mech. Anal. 132 (1) (1995) 1-14. | MR 1360077 | Zbl 0836.76082
,[15] Existence Globale De Solutions Pour Les Équations De Navier-Stokes Compressibles Isentropiques, C. R. Acad. Sci. Paris Sér. I Math. 316 (12) (1993) 1335-1340. | MR 1226126 | Zbl 0778.76086
,[16] Mathematical Topics in Fluid Mechanics, Oxford Science Publications, Oxford, 1996. | Zbl 0866.76002
,[17] The Initial Value Problem for the Equations of Motion of Viscous and Heat-Conductive Gases, J. Math. Kyoto Univ. 20 (1) (1980) 67-104. | MR 564670 | Zbl 0429.76040
, ,[18] Initial-Boundary Value Problems for the Equations of Motion of General Fluids, in: Computing Methods in Applied Sciences and Engineering, V, Versailles, 1981, North-Holland, Amsterdam, 1982, pp. 389-406. | MR 784652 | Zbl 0505.76083
, ,[19] Global Weak Solutions for the Two Dimensional Motion of Several Rigid Bodies in an Incompressible Viscous Fluid, Arch. Ration. Mech. Anal. 161 (2) (2002) 93-112. | MR 1870954 | Zbl 1018.76012
, , ,[20] Analysis of Strong Solutions for the Equations Modeling the Motion of a Rigid-Fluid System in a Bounded Domain, Adv. Differential Equations 8 (12) (2003) 1499-1532. | MR 2029294 | Zbl 1101.35356
,[21] On the First Initial-Boundary Value Problem of Compressible Viscous Fluid Motion, Publ. RIMS, Kyoto Univ. 13 (1977) 193-253. | Zbl 0366.35070
,[22] Navier-Stokes Equations. Theory and Numerical Analysis, Studies in Mathematics and its Applications, vol. 2, North-Holland Publishing Co., Amsterdam, 1977. | MR 609732 | Zbl 0383.35057
,[23] Nonlinear Functional Analysis and Its Applications. I. Fixed-Point Theorems, Translated from the German by Peter R. Wadsack, Springer-Verlag, New York, 1986. | MR 816732 | Zbl 0583.47050
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