Localization of attractors by their analytic properties

Nonlinearity

Volumn 9, Issue 6, 1996, Pages 1565-1581

  Foias, C ^a   Jolly, M S ^a   Kukavica, I ^b  

^a INDIANA UNIVERSITY   (United States)

^b UNIVERSITY OF CHICAGO   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0000397499     PISSN: 09517715     EISSN: None     Source Type: Journal    
DOI: 10.1088/0951-7715/9/6/010     Document Type: Article

References (14)

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2. Constantin P, Foias C, Kukavica I and Majda A 1995 Dirichlet quotients for periodic 2 dimensional Navier-Stokes equations J. Math. Pures Appl.
3. Foias C and Frazho A E 1990 The commutant lifting approach to interpolation problems Operator Th.: Adv. Appl. vol 44 (Boston, MA: Birkhauser)
4. Foias C and Jolly M S 1995 On the numerical algebraic approximation of global attractors Nonlinearity 8 295-319
5. Foias C, Jolly M S, Kukavica I and Titi E S 1996 The Lorenz equation as a metaphor for some analytic, geometric and statistical properties of the Navier-Stokes equations, in preparation
6. Foias C and Temam R 1988 The algebraic approximation of attractors; the finite dimensional case Physica 32D 163-82
7. Foias C and Temam R 1994 Approximation of attractors by algebraic or analytic sets SIAM J. Math. Anal. 25 1269-302
8. Hale J K 1988 Asymptotic Behavior of Dissipative Systems (Providence, RI: American Mathematical Society)
9. Hammel S, Yorke J A and Grebogi C 1988 Numerical orbits of chaotic processes represent true orbits Bull. Am. Math. Soc. 19 465-70
10. Kukavica I 1991 On the time analyticity radius of the solutions of the 2 dimensional Navier-Stokes equations J. Dynam. Diff. Eqns 3 611-18
11. Kukavica I 1992 On the behaviour of the solutions of the Kuramoto-Sivashinsky equation for negative time J. Math. Anal. Appl. 166 601-6
12. Sauer T, Yorke J A and Casdagli M 1991 Embedology J. Stat. Phys. 65 579-616
13. Temam R 1988 Infinite-Dimensional Dynamical Systems in Mechanics and Physics (Applied Mathematical Sciences 68) (New York: Springer)
14. Vishik M J and Fursikov A V 1988 Mathematical Problems of Statistical Hydromechanics (Dordrecht: Kluwer)