Advances in Differential Equations

On the three-dimensional primitive equations

Madalina Petcu

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In this article we extend, from local time to global time, the regularity results proved in [14] for the three-dimensional primitive equations: higher Sobolev spaces and Gevrey regularity.

Article information

Adv. Differential Equations, Volume 11, Number 11 (2006), 1201-1226.

First available in Project Euclid: 18 December 2012

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Mathematical Reviews number (MathSciNet)

Zentralblatt MATH identifier

Primary: 35Q35: PDEs in connection with fluid mechanics
Secondary: 35B45: A priori estimates 35B65: Smoothness and regularity of solutions 76D03: Existence, uniqueness, and regularity theory [See also 35Q30] 76D05: Navier-Stokes equations [See also 35Q30] 76U05: Rotating fluids 86A05: Hydrology, hydrography, oceanography [See also 76Bxx, 76E20, 76Q05, 76Rxx, 76U05]


Petcu, Madalina. On the three-dimensional primitive equations. Adv. Differential Equations 11 (2006), no. 11, 1201--1226.

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