<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>Mathematical analysis of a constrained parabolic free boundary problem describing droplet motion on a surface</dc:title>
<dc:creator>Seiro Omata</dc:creator><dc:creator>Karel Svadlenka</dc:creator>
<dc:subject>35K55</dc:subject><dc:subject>35R35</dc:subject><dc:subject>47J30</dc:subject><dc:subject>partial differential equation of parabolic type</dc:subject><dc:subject>integral constraint</dc:subject><dc:subject>free boundary</dc:subject><dc:subject>discrete Morse flow</dc:subject><dc:subject>variational method</dc:subject>
<dc:description>A parabolic free boundary problem with an obstacle and a volume constraint is analyzed. The equation models slow motion of droplets on nonhomogeneous surfaces. We show existence and H\&quot;older continuity of a unique weak solution by a combination of smoothing and a variational method called discrete Morse flow. This method can be directly applied to numerical computation.</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.2009.58.3672</dc:identifier>
<dc:source>10.1512/iumj.2009.58.3672</dc:source>
<dc:language>en</dc:language>
<dc:relation>Indiana Univ. Math. J. 58 (2009) 2073 - 2102</dc:relation>
<dc:coverage>state-of-the-art mathematics</dc:coverage>
<dc:rights>http://iumj.org/access/</dc:rights>
</oai_dc:dc>