Abstract
In the case of solutions of the two-diensional Navier-Stokes equations, the following analyticity property is established. If the initial datum lies on the global attractor and is close enough to a stationary solution, then the analyticity radius att = 0 of the solution can be made arbitrarily large.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
Constantin, P., and Foias, C. (1988).Navier-Stokes Equations, Chicago Lectures in Mathematics, Chicago/London.
Foias, C., and Temam, R. (1979). Some analytic and geometric properties of the solutions of the Navier-Stokes equations.J. Math. Pures Appl. 58, 339–368.
Ladyzhenskaya, O. A. (1972). On the dynamical system generated by the Navier-Stokes equations.Zap. Nauch. Sem. LOMI 27, 91–114. [English translation,J. Soviet Math. 28, 458–479 (1975).]
Temam, R. (1988).Infinite-Dimensional Dynamical Systems in Mechanics and Physics, Appl. Math. Sci. No. 68, Springer, New York.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Kukavica, I. On the time analyticity radius of the solutions of the two-dimensional Navier-Stokes equations. J Dyn Diff Equat 3, 611–618 (1991). https://doi.org/10.1007/BF01049102
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01049102