On the motion of rigid bodies in a viscous incompressible fluid

Journal of Evolution Equations

Volumn 3, Issue 3, 2003, Pages 419-441

  Feireisl, Eduard ^a  

^a MATHEMATICAL INSTITUTE   (Czech Republic)

Author keywords

Navier Stokes equations; Rigid bodies in a viscous fluid

Indexed keywords

EID: 0141760387     PISSN: 14243199     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00028-003-0110-1     Document Type: Article

References (10)

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3. DESJARDINS, B. and ESTEBAN, M. J., On weak solutions for fluid-rigid structure interaction: Compressible and incompressible models. Commun. Partial Differential Equations, 25 (2000), 1399-1413.
4. DIPERNA, R. J. and LIONS, P. -L., Ordinary differential equations, transport theory and Sobolev spaces. Invent. Math., 98 (1989), 511-547.
5. FEIREISL, E., On the motion of rigid bodies in a viscous compressible fluid. Arch. Rational Mech. Anal., 2002. To appear.
6. GALDI, G. P., On the steady self-propelled motion of a body in a viscous incompressible fluid. Arch. Rat. Mech. Anal., 148 (1999), 53-88.
7. GUNZBURGER, M. D., LEE, H. C. and SEREGIN, A., Global existence of weak solutions for viscous incompressible flow around a moving rigid body in three dimensions. J. Math. Fluid Mech., 2 (2000), 219-266.
8. HOFFMANN, K. -H. and STAROVOITOV, V. N., On a motion of a solid body in a viscous fluid. Two dimensional case. Adv. Math. Sci. Appl., 9 (1999), 633-648.
9. LIONS, J. -L. and MAGENES, E., Problèmes aux limites non homogènes et applications, I. Dunod, Gautthier - Villars, Paris, 1968.
10. SAN MARTIN, J. A., STAROVOITOV, V. and TUCSNAK, M., Global weak solutions for the two dimensional motion of several rigid bodies in an incopmressible viscous fluid. Arch. Rational Mech. Anal., 161 (2002), 93-112.