Asymptotic methods for micropolar fluids in a tube structure

Mathematical Models and Methods in Applied Sciences

Volumn 14, Issue 5, 2004, Pages 735-758

  Dupuy, D ^a   Panasenko, G P ^a,b   Stavre, R ^c  

^a UNIVERSITÉ JEAN MONNET   (France)

^b INSTITUT JEAN LE ROND D ALEMBERT   (France)

^c INSTITUTE OF MATHEMATICS   (Romania)

Author keywords

Asymptotic expansion; Micropolar fluids; Partial asymptotic decomposition of domain

Indexed keywords

EID: 7444270561     PISSN: 02182025     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0218202504003428     Document Type: Article

References (18)

1. A. C. Eringen, Theory of micropolar fluids, in J. Math. Mech. 16 (1966) 1-18.
2. G. P. Galdi and S. Rionero, A note on the existence and uniqueness of solutions of micropolar fluid equations, Internat. J. Engng. Sci. 14 (1977) 105-108.
3. M. Padula and R. Russo, A uniqueness theorem for micropolar fluid motions in unbounded regions, U.M.I. 5 (1976) 660-666.
4. R. Stavre, A distributed control problem for micropolar fluids, Rev. Roum. Math. Pures Appl. (2000).
5. R. Stavre, Optimization and numerical approximation for micropolar fluids, Numer. Funct. Anal. Optim. 24 (2003) 223-241.
6. R. Stavre, The control of the pressure for a micropolar fluid, Z. Angew. Math. Phys. 53 (2002) 912-922.
7. R. Stavre, Optimal control of nonstationary, three dimensional micropolar flows, in Anal. Optim. Diff. Syst., eds. V. Barbu, I. Lasiecka, D. Tiba and C. Varsan (Kluwer, 2003), pp. 399-409.
8. G. Lukaszewicz, Micropolar Fluids: Theory and Applications (Birkhäuser, 1999).
9. G. P. Panasenko, Method of asymptotic partial decomposition of domain, Math. Mod. Meth. Appl. Sci. 8 (1998) 139-156.
10. G. P. Panasenko, Asymptotic partial decomposition of variational problems, C. R. Acad. Sci. Paris Série IIb 327 (1999) 1185-1190.
11. G. P. Panasenko, Asymptotic expansion of the solution of Navier-Stokes equation in tube structure and partial asymptotic decomposition of domain, Appl. Anal. 76 (2000) 363-381.
12. G. P. Panasenko, Asymptotic expansion of the solution of Navier-Stokes equation in a tube structure, C. R. Acad. Sci. Paris Série IIb 326 (1998) 867-872.
13. G. P. Panasenko, Partial asymptotic decomposition of domain: Navier-Stokes equation in tube structure, C. R. Acad. Sci. Paris Série IIb 326 (1998) 893-898.
14. F. Blanc and O. Gipouloux, G. P. Panasenko and A. M. Zine, Asymptotic analysis and partial asymptotic decomposition of domain for Stokes equation in tube structure, Math. Mod. Meth. Appl. Sci. 9 (1999) 1351-1378.
15. D. Dupuy, G. Panasenko and R. Stavre, Asymptotic analysis for micropolar fluids, C. R. Acad. Sci. Paris Série IIb 332 (2004) 31-36.
16. R. Temam, Navier-Stokes Equations (North-Holland, 1984).
17. G. P. Galdi, An Introduction to the Mathematical Theory of the Navier-Stokes Equations, Vol. I (Springer-Verlag, 1994).
18. V. Girault and P. A. Raviart, Finite Element Methods for Navier-Stokes Equations (Springer-Verlag, 1986).