Large Time Behavior for a Simplified ID Model of Fluid-Solid Interaction

Communications in Partial Differential Equations

Volumn 28, Issue 9-10, 2003, Pages 1705-1738

  Vázquez, Juan Luis ^a   Zuazua, Enrique ^a  

^a UNIVERSIDAD AUTÓNOMA DE MADRID   (Spain)

Author keywords

Burgers equations; Fluid solid interaction; Large time behavior; One space dimension; Self similarity

Indexed keywords

EID: 18344412014     PISSN: 03605302     EISSN: None     Source Type: Journal    
DOI: 10.1081/PDE-120024530     Document Type: Article

References (13)

1. Burgers, J. M. (1974). The Nonlinear Diffusion Equation. D. Reidel Publishing Company.
2. Conca, C., San Martin, J., Tucsnak, M. (1999). Motion of a rigid body in a viscous fluid. C. R. Acad. Sci. Paris 328:473-478.
3. Conca, C., San Martin, J., Tucsnak, M. (2000). Existence of solutions for the equations modelling the motion of a rigid body in a viscous fluid. Commun. Partial Diff. Eqns. 25:1019-1042.
4. Desjardins, B., Esteban, M. J. (1999). Existence of weak solutions for the motion of rigid bodies in aviscous fluid. Archive Rat. Mech. Anal. 146:59-71.
5. Desjardins, B., Esteban, M. J. (2000). On weak solutions nor fluid-rigid structure interaction: compressible and incompressible models. Comm. Partial Diff. Eqns. 25:1399-1413.
6. Errate, D., Esteban M. J., Maday, Y. (1994). Couplage fluide-structure. Un modéle simplifié en dimension 1. C. R. Acad. Sci. Paris 318:275-281.
7. Escobedo, M., Vazquez, J. L., Zuazua, E. (1993). Large time behavior and fundamental solutions for a convection-diffusion equation. Archive Rat. Mech. Anal. 124(1):43-66.
8. Grandmont, C., Maday, Y. (2000). Existence for an unsteady fluid-structure interaction problem. M2AN 34(3):609-636.
9. Gunzburger, M., Lee, C.-H., Gregory, A. S. (2000). Global existence of weak solutions for viscous incompresible flows around a moving rigid body in three dimensions. J. Math. Fluid. Mech. 2(3):219-266.
10. San Martin, J., Starovoitov, V., Tucsnak, M. (2002). Global weak solutions for the two-dimensional motion of several rigid bodies in an incompressible viscous fluid. Archive Rat. Mech. Anal. 161(2):113-147.
11. Serre, D. (1987). Chute libre d'un solide dans un fluide visqueux incompressible. Japan J. Appl. Math. 4:99-110.
12. p(0, T; B). Ann. Mat. Pura Appl. 146(4):65-96.
13. Véron, L. (1979). Coercivité et propriétés régularisantes des semi-groupes non linéaires dans les espaces de Banach. Ann. Fac. Sci. Toulouse 1:171-200.