Asymptotic profiles of nonstationary incompressible Navier-Stokes flows in the whole space

SIAM Journal on Mathematical Analysis

Volumn 33, Issue 3, 2001, Pages 523-544

  Fujigaki, Yoshiko ^a   Miyakawa, Tetsuro ^a  

^a KOBE UNIVERSITY   (Japan)

Author keywords

Asymptotic profiles; Incompressible Navier Stokes equations; Initial value problem; Moment estimates

Indexed keywords

EID: 0036344540     PISSN: 00361410     EISSN: None     Source Type: Journal    
DOI: 10.1137/S0036141000367072     Document Type: Article

References (18)

1. A. CARPIO, Large-time behavior in incompressible Navier-Stokes equations, SIAM J. Math. Anal., 27 (1996), pp. 449-475.
2. Y. FUJIGAKI AND T. MIYAKAWA, Asymptotic profiles of nonstationary incompressible Navier-Stokes flows in the half-space, Methods Appl. Anal., to appear.
3. 3, preprint, The Institute of Mathematical Sciences, The Chinese University of Hong Kong, Hong Kong, 1999.
4. n, Math. Z., 192 (1986), pp. 135-148.
5. m, with applications to weak solutions, Math. Z., 187 (1984), pp. 471-480.
6. J. LERAY, Sur le mouvement d'un liquide visqueux emplissant l'espace, Acta Math., 63 (1934), pp. 193-248.
7. T. MIYAKAWA, Hardy spaces of solenoidal vector fields, with applications to the Navier-Stokes equations, Kyushu J. Math., 50 (1996), pp. 1-64.
8. n, Funkcial. Ekvac., 41 (1998), pp. 383-434.
9. n, Funkcial. Ekvac., 43 (2000), pp. 541-557.
10. n, Mathematica Bohemica, to appear.
11. M. E. SCHONBEK, Large time behaviour of solutions to the Navier-Stokes equations, Comm. Partial Differential Equations, 11 (1986), pp. 733-763.
12. M. E. SCHONBEK, Lower bounds of rates of decay for solutions to the Navier-Stokes equations, J. Amer. Math. Soc., 4 (1991), pp. 423-449.
13. M. E. SCHONBEK, On decay of solutions to the Navier-Stokes equations, in Applied Nonlinear Analysis, A. Sequeira, H. Beirao da Veiga, and J. H. Videman, eds., Kluwer/Plenum, New York, 1999, pp. 505-512.
14. M. E. SCHONBEK AND T. P. SCHONBEK, On the boundedness and decay of moments of solutions of the Navier-Stokes equations, Adv. Differential Equations, to appear.
15. M. E. SCHONBEK, T. SCHONBEK, AND E. SÜLI, Large time behaviour of solutions to the magneto-hydrodynamic equations, Math. Ann., 304 (1996), pp. 717-756.
16. E. M. STEIN, Harmonic Analysis, Princeton University Press, Princeton, NJ, 1993.
17. S. TAKAHASHI, A weighted equation approach to decay rate estimates for the Navier-Stokes equations, Nonlinear Anal., 37 (1999), pp. 751-789.
18. n, J. London Math. Soc. (2), 35 (1987), pp. 303-313.