A global existence result for a spatially extended 3D Navier-Stokes problem with non-small initial data

Nonlinear Differential Equations and Applications

Volumn 7, Issue 4, 2000, Pages 415-434

  Peterhof, Daniela ^a   Schneider, Guido ^b  

^a WEIERSTRASS INSTITUTE FOR APPLIED ANALYSIS AND STOCHASTICS   (Germany)

^b UNIVERSITY OF BAYREUTH   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0037702438     PISSN: 10219722     EISSN: None     Source Type: Journal    
DOI: 10.1007/PL00001433     Document Type: Article

References (17)

1. R.A. ADAMS, Sobolev spaces. Academic Press, New York, San Francisco, London, 1975.
2. V.G. BONDAREVSKY, A method of finding large sets of data generating global solutions to nonlinear equations: application to the Navier-Stokes equations. C. R. Acad. Sci. Paris 322 (1996), 333-338.
3. P. CHOSSAT, G. IOOSS, The Couette-Taylor problem. Appl. Math. Sciences 102, Springer, 1994.
4. A. FRIEDMAN, Partial Differential Equations. Robert E. Krieger Publishing Company, 1976.
5. H. FUJITA, T. KATO, On the Navier-Stokes initial value problem I. Arch. Rat. Mech. Anal. 16 (1964), 269-315.
6. r of the Navier-Stokes initial value problem. Arch. Rat. Mech. Anal. 89 (1985), 267-281.
7. J.K. HALE, Asymptotic behavior of dissipative systems. Math. Surveys Monographs, Vol. 25, Amer. Math. Soc., Providence, RI. 1988.
8. D. HENRY, Geometric theory of semilinear parabolic equations. Lect. Notes Math. 804, Springer, New York, Berlin, Heidelberg, 1981.
9. A. MIELKE, G. SCHNEIDER, Attractors for modulation equations on unbounded domains-existence and comparison. Nonlinearity 8 (1995), 743-768.
10. A. PAZY, Semigroups of linear operators and applications to partial differential equations. Springer, Berlin, New York, 1983.
11. G. RAUGEL, Dynamics of Partial Differential Equations on Thin Domains. Lect. Notes in Math. 1609, Springer, Berlin, New York 1994, 208-315.
12. G. RAUGEL, G. SELL, Navier-Stokes equations on thin 3D domains. I: Global attractors and global regularity of solutions. J. Amer. Math. Soc. 6 (1993), 503-568.
13. G. RAUGEL, G. SELL, Navier-Stokes equations on thin 3D domains. III: Existence of global attractor. The IMA Vol. in Math, and its Appl. 55, Springer, Berlin, New York, 1993, 137-163.
14. G. RAUGEL, G. SELL, Navier-Stokes equations on thin 3D domains. II: Global regularity of spatially periodic solutions. Pitman Res. Notes Math. Ser. 299, Longman, 1994, 205-248.
15. G. SCHNEIDER, Error estimates for the Ginzburg-Landau approximation. ZAMP 45 (1994), 433-457.
16. R. TEMAM, Navier-Stokes equations. North Holland, Amsterdam, 1977.
17. K. YOSIDA, Functional analysis. Springer, Berlin, New York, 1974.