<oai_dc:dc xmlns:oai_dc="http://www.openarchives.org/OAI/2.0/oai_dc/" xmlns:dc="http://purl.org/dc/elements/1.1/" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xsi:schemaLocation="http://www.openarchives.org/OAI/2.0/oai_dc/ http://www.openarchives.org/OAI/2.0/oai_dc.xsd">
<dc:title>Forced two layer beta-plane quasi-geostrophic flow, Part II: Time and space analyticity</dc:title>
<dc:creator>Constantin Onica</dc:creator><dc:creator>R. Panetta</dc:creator>
<dc:subject>35Q35</dc:subject><dc:subject>35B65</dc:subject><dc:subject>76U05</dc:subject><dc:subject>86A10</dc:subject><dc:subject>two layer beta-plane</dc:subject><dc:subject>quasi-geostrophic</dc:subject><dc:subject>time and space analyticity</dc:subject>
<dc:description>In this paper we continue the mathematical study initiated in C. Onica and R.L. Panetta, \emph{Forced two layer beta-plane quasigeostrophic flow. I. Long-time existence and uniqueness of weak solutions} (J. Differential Equations \textbf{226} (2006), number 1, 180--209) for a model of quasigeostrophic turbulence. We show that the unique weak solution found in C. Onica and R.L. Panetta, \emph{ibid.}, produces, via the inverse Fourier transform, a classical solution for the system. Moreover, we prove that this solution is analytic in space and positive time.</dc:description>
<dc:publisher>Indiana University Mathematics Journal</dc:publisher>
<dc:date>2007</dc:date>
<dc:type>text</dc:type>
<dc:format>pdf</dc:format>
<dc:identifier>10.1512/iumj.2007.56.2800</dc:identifier>
<dc:source>10.1512/iumj.2007.56.2800</dc:source>
<dc:language>en</dc:language>
<dc:relation>Indiana Univ. Math. J. 56 (2007) 1023 - 1046</dc:relation>
<dc:coverage>state-of-the-art mathematics</dc:coverage>
<dc:rights>http://iumj.org/access/</dc:rights>
</oai_dc:dc>