Asymptotic collisions between solid particles in a Burgers-Hopf fluid

Asymptotic Analysis

Volumn 43, Issue 4, 2005, Pages 323-338

  Hillairet, M ^a  

^a UNIVERSITÉ DE LYON   (France)

Author keywords

Fluid solid interactions; Lack of collision; Long time behavior

Indexed keywords

INTEGRATION; MATHEMATICAL MODELS; NAVIER STOKES EQUATIONS; SOLIDS; THEOREM PROVING; VISCOUS FLOW;

CLASSICAL SOLID MECHANICS; FLUID-SOLID INTERACTIONS; LACK OF COLLISION; LONG-TIME BEHAVIOR;

ASYMPTOTIC STABILITY;

EID: 22944444165     PISSN: 09217134     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (9)

1. C. Conca, J.A. San Martín and M. Tucsnak, 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.
2. B. Desjardins an M.J. Esteban, Existence of weak solutions for the motion of rigid bodies in a viscous fluid, Arch. Rational Mech. Anal. 146(1) (1999), 59-71.
3. B. Desjardins and M.J. Esteban, On weak solutions for fluid-rigid structure interaction: compressible and incompressible models, Comm. Partial Differential Equations 25(7-8) (2000), 1399-1413.
4. E. Feireisl, On the motion of rigid bodies in a viscous fluid, Appl. Math. 47(6) (2002), 463-484. Mathematical Theory in Fluid Mechanics (Paseky, 2001).
5. C. Grandmont and Y. Maday, Existence de solutions d'un problème de couplage fluide-structure bidimensionnel instationnarie, C. R. Acad. Sci. Paris Sér. I Math. 326(4) (1998), 525-530.
6. M.D. Gunzburger, Hyung-Chun Lee and O.A. Seregin, Global existence of weak solutions for viscous incompressible flows around a moving rigid body in three dimensions, J. Math. Fluid Mech. 2(3) (2000), 219-266.
7. J.A. San Martín, V. Starovoitov and M. Tucsnak, Global weak solutions for the two-dimensional motion of several rigid bodies in an incompressible viscous fluid, Arch. Ration. Mech. Anal. 161(2) (2002), 113-147.
8. T. Takahashi, Existence of strong solutions for the problem of a rigid-fluid system, C. R. Math. Acad. Sci. Paris 336(5) (2003), 453-458.
9. J.L. Vàzquez and E. Zuazua, Lack of collision in a simplified 1-d model for fluid-solid interaction, Preprint, May 2004.