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		<identifier>oai:zbc.uz.zgora.pl:85841</identifier>
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<dc:title xml:lang="pl"><![CDATA[Transient flow in gas networks: Traveling waves]]></dc:title>
<dc:creator><![CDATA[Gugat, Martin]]></dc:creator>
<dc:creator><![CDATA[Wintergerst, David]]></dc:creator>
<dc:subject xml:lang="pl"><![CDATA[traveling wave]]></dc:subject>
<dc:subject xml:lang="pl"><![CDATA[isothermal Euler equations]]></dc:subject>
<dc:subject xml:lang="pl"><![CDATA[compressibility factor]]></dc:subject>
<dc:subject xml:lang="pl"><![CDATA[gas networks]]></dc:subject>
<dc:subject xml:lang="pl"><![CDATA[blow-up]]></dc:subject>
<dc:subject xml:lang="pl"><![CDATA[optimal control]]></dc:subject>
<dc:description xml:lang="pl"><![CDATA[In the context of gas transportation, analytical solutions are helpful for the understanding of the underlying dynamics governed by a system of partial differential equations. We derive traveling wave solutions for the one-dimensional isothermal Euler equations, where an affine linear compressibility factor is used to describe the correlation between density and pressure. We show that, for this compressibility factor model, traveling wave solutions blow up in finite time. We then extend our analysis to networks under appropriate coupling conditions and derive compatibility conditions for the network nodes such that the traveling waves can travel through the nodes. Our result allows us to obtain an explicit solution for a certain optimal boundary control problem for the pipeline flow.]]></dc:description>
<dc:publisher><![CDATA[Zielona Góra: Uniwersytet Zielonogórski]]></dc:publisher>
<dc:contributor><![CDATA[Puig, Vicenç - ed.]]></dc:contributor>
<dc:contributor><![CDATA[Sauter, Dominique - ed.]]></dc:contributor>
<dc:contributor><![CDATA[Aubrun, Christophe - ed.]]></dc:contributor>
<dc:contributor><![CDATA[Schulte, Horst - ed.]]></dc:contributor>
<dc:date><![CDATA[2018]]></dc:date>
<dc:type xml:lang="pl"><![CDATA[artykuł]]></dc:type>
<dc:identifier><![CDATA[http://www.zbc.uz.zgora.pl/repozytorium/Content/85841/AMCS_2018_28_2_9.pdf]]></dc:identifier>
<dc:identifier><![CDATA[https://zbc.uz.zgora.pl/repozytorium/dlibra/publication/100833/edition/85841/content]]></dc:identifier>
<dc:identifier><![CDATA[oai:zbc.uz.zgora.pl:85841]]></dc:identifier>
<dc:source xml:lang="pl"><![CDATA[AMCS, volume 28, number 2 (2018)]]></dc:source>
<dc:source xml:lang="pl"><![CDATA[https://www.amcs.uz.zgora.pl/?action=papers&issue=108]]></dc:source>
<dc:language><![CDATA[eng]]></dc:language>
<dc:relation><![CDATA[oai:zbc.uz.zgora.pl:publication:100833]]></dc:relation>
<dc:rights xml:lang="pl"><![CDATA[Biblioteka Uniwersytetu Zielonogórskiego]]></dc:rights>
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