On backward-time behavior of the solutions to the 2-D space periodic Navier–Stokes equations

 Access to full text

 Full (PDF)

1. [1] Bardos C., Tartar L., Sur l'unicité rétrograde des équations parabolique et quelques questiones voisines, Arch. Rational Mech.50 (1973) 10-25. Zbl0258.35039MR338517
2. [2] Constantin P., Foias C., Navier–Stokes Equations, Chicago Lectures in Math., University of Chicago Press, Chicago, 1988. Zbl0687.35071MR972259
3. [3] Constantin P., Foias C., Kukavica I., Majda A., Dirichlet quotients and 2-d periodic Navier–Stokes equations, J. Math. Pures Appl.76 (1997) 125-153. Zbl0874.35085MR1432371
4. [4] Dascaliuc R., On the backward-time behavior of Burgers' original model for turbulence, Nonlinearity16 (6) (2003) 1945-1965. Zbl1120.76316MR2012849
5. [5] C. Foias, B. Nicolaenko, Some estimates on the nonlinear term of the Navier–Stokes equation, Preprint, 2003. 
6. [6] Kukavica I., On the behavior of the solutions of the Kuramoto–Sivashinsky equations for negative time, J. Math. Anal. Appl.166 (1992) 601-606. Zbl0788.35118MR1160948
7. [7] I. Kukavica, M. Malcok, Backward behavior of solutions of Kuramoto–Sivashinsky equation, 2003, submitted for publication. Zbl1080.35121
8. [8] Richards I., On the gaps between numbers which are sums of two squares, Adv. in Math.46 (1982) 1-2. Zbl0501.10047MR676985
9. [9] Temam R., Navier–Stokes Equations and Nonlinear Functional Analysis, SIAM, Philadelphia, 1983. Zbl0522.35002MR764933
10. [10] Vukadinovic J., On the backwards behavior of the solutions of the 2D periodic viscous Kamassa–Holm equations, J. Dynam. Differential Equations14 (2) (2002). Zbl1007.35076MR1878244
11. [11] J. Vukadinovic, On the backwards behavior of the solutions of the Kelvin-filtered 2D periodic Navier–Stokes equations, Ph.D. Thesis, Indiana University, 2002. Zbl1007.35076