<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>Heat Flow with Shocks in Media with Memory</dc:title>
<dc:creator>C. Dafermos</dc:creator>
<dc:subject>35L65</dc:subject><dc:subject>Heat flow</dc:subject><dc:subject>Hyperbolic balance laws with memory</dc:subject><dc:subject>Redistribution of Damping</dc:subject>
<dc:description>The Cauchy problem for the system of nonlinear integrodifferential conservation laws governing heat flow in one-di\-men\-sional media with memory is solved in the class of $BV$ functions, supporting shock waves in the temperature gradient.  The solution is attained with the help of a change of variables that redistributes the damping equitably between the two equations of the system.</dc:description>
<dc:publisher>Indiana University Mathematics Journal</dc:publisher>
<dc:date>2013</dc:date>
<dc:type>text</dc:type>
<dc:format>pdf</dc:format>
<dc:identifier>10.1512/iumj.2013.62.5126</dc:identifier>
<dc:source>10.1512/iumj.2013.62.5126</dc:source>
<dc:language>en</dc:language>
<dc:relation>Indiana Univ. Math. J. 62 (2013) 1443 - 1456</dc:relation>
<dc:coverage>state-of-the-art mathematics</dc:coverage>
<dc:rights>http://iumj.org/access/</dc:rights>
</oai_dc:dc>