<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>Dynamics for Ginzburg-Landau vortices under a mixed flow</dc:title>
<dc:creator>Matthias Kurzke</dc:creator><dc:creator>Christof Melcher</dc:creator><dc:creator>Roger Moser</dc:creator><dc:creator>Daniel Spirn</dc:creator>
<dc:subject>35B20</dc:subject><dc:subject>35Q55</dc:subject><dc:subject>35B40</dc:subject><dc:subject>vortex motion</dc:subject><dc:subject>Ginzburg-Landau vortices</dc:subject><dc:subject>mixed dynamics</dc:subject>
<dc:description>We consider a complex Ginzburg-Landau equation that contains a Schroedinger term and a damping term that is proportional to the time derivative. Given well-prepared initial conditions that correspond to  quantized vortices, we establish the vortex motion law  until collision time.</dc:description>
<dc:publisher>Indiana University Mathematics Journal</dc:publisher>
<dc:date>2009</dc:date>
<dc:type>text</dc:type>
<dc:format>pdf</dc:format>
<dc:identifier>10.1512/iumj.2009.58.3842</dc:identifier>
<dc:source>10.1512/iumj.2009.58.3842</dc:source>
<dc:language>en</dc:language>
<dc:relation>Indiana Univ. Math. J. 58 (2009) 2597 - 2622</dc:relation>
<dc:coverage>state-of-the-art mathematics</dc:coverage>
<dc:rights>http://iumj.org/access/</dc:rights>
</oai_dc:dc>