@article{AIHPC_2005__22_4_385_0,
author = {Dascaliuc, Radu},
title = {On backward-time behavior of the solutions to the {2-D} space periodic {Navier-Stokes} equations},
journal = {Annales de l'I.H.P. Analyse non lin\'eaire},
pages = {385--401},
year = {2005},
publisher = {Elsevier},
volume = {22},
number = {4},
doi = {10.1016/j.anihpc.2004.10.001},
zbl = {1076.76021},
language = {en},
url = {https://www.numdam.org/articles/10.1016/j.anihpc.2004.10.001/}
}
TY - JOUR AU - Dascaliuc, Radu TI - On backward-time behavior of the solutions to the 2-D space periodic Navier-Stokes equations JO - Annales de l'I.H.P. Analyse non linéaire PY - 2005 SP - 385 EP - 401 VL - 22 IS - 4 PB - Elsevier UR - https://www.numdam.org/articles/10.1016/j.anihpc.2004.10.001/ DO - 10.1016/j.anihpc.2004.10.001 LA - en ID - AIHPC_2005__22_4_385_0 ER -
%0 Journal Article %A Dascaliuc, Radu %T On backward-time behavior of the solutions to the 2-D space periodic Navier-Stokes equations %J Annales de l'I.H.P. Analyse non linéaire %D 2005 %P 385-401 %V 22 %N 4 %I Elsevier %U https://www.numdam.org/articles/10.1016/j.anihpc.2004.10.001/ %R 10.1016/j.anihpc.2004.10.001 %G en %F AIHPC_2005__22_4_385_0
Dascaliuc, Radu. On backward-time behavior of the solutions to the 2-D space periodic Navier-Stokes equations. Annales de l'I.H.P. Analyse non linéaire, Tome 22 (2005) no. 4, pp. 385-401. doi: 10.1016/j.anihpc.2004.10.001
[1] , , Sur l'unicité rétrograde des équations parabolique et quelques questiones voisines, Arch. Rational Mech. 50 (1973) 10-25. | Zbl | MR
[2] , , Navier-Stokes Equations, Chicago Lectures in Math., University of Chicago Press, Chicago, 1988. | Zbl | MR
[3] , , , , Dirichlet quotients and 2-d periodic Navier-Stokes equations, J. Math. Pures Appl. 76 (1997) 125-153. | Zbl | MR
[4] , On the backward-time behavior of Burgers' original model for turbulence, Nonlinearity 16 (6) (2003) 1945-1965. | Zbl | MR
[5] C. Foias, B. Nicolaenko, Some estimates on the nonlinear term of the Navier-Stokes equation, Preprint, 2003.
[6] , On the behavior of the solutions of the Kuramoto-Sivashinsky equations for negative time, J. Math. Anal. Appl. 166 (1992) 601-606. | Zbl | MR
[7] I. Kukavica, M. Malcok, Backward behavior of solutions of Kuramoto-Sivashinsky equation, 2003, submitted for publication. | Zbl
[8] , On the gaps between numbers which are sums of two squares, Adv. in Math. 46 (1982) 1-2. | Zbl | MR
[9] , Navier-Stokes Equations and Nonlinear Functional Analysis, SIAM, Philadelphia, 1983. | Zbl | MR
[10] , On the backwards behavior of the solutions of the 2D periodic viscous Kamassa-Holm equations, J. Dynam. Differential Equations 14 (2) (2002). | Zbl | MR
[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.
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