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On the backward uniqueness of the primitive equations

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Published in Journal de mathématiques pures et appliquées. 2007, vol. 87, no. 3, p. 275 - 289
Abstract In this article we prove the backward uniqueness (as well as the uniqueness) for a class, defined in the article, of solutions of the two-dimensional primitive equations that we call z-weak solutions.We also prove the backward uniqueness for the strong solutions in the two- and three-dimensional cases. By backward uniqueness we understand that once we know that two solutions are equal at a time t > 0, then we can conclude that they are equal everywhere on the interval (0, t).
Keywords Primitive equations for the oceanBackward uniquenessz-weak solutions
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PETCU, Madalina Elena. On the backward uniqueness of the primitive equations. In: Journal de mathématiques pures et appliquées, 2007, vol. 87, n° 3, p. 275 - 289. https://archive-ouverte.unige.ch/unige:9796

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Deposited on : 2010-07-30

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