<?xml version="1.0" encoding="utf-8"?>
<export-example>
  <doc>
    <id>605</id>
    <completedYear>2024</completedYear>
    <publishedYear/>
    <thesisYearAccepted/>
    <language>eng</language>
    <pageFirst/>
    <pageLast/>
    <pageNumber/>
    <edition/>
    <issue/>
    <volume>Netw. Heterog. Media</volume>
    <type>preprint</type>
    <publisherName/>
    <publisherPlace/>
    <creatingCorporation/>
    <contributingCorporation/>
    <belongsToBibliography>1</belongsToBibliography>
    <completedDate>2024-11-06</completedDate>
    <publishedDate>--</publishedDate>
    <thesisDateAccepted>--</thesisDateAccepted>
    <title language="eng">Steady State Blended Gas Flow on Networks: Existence and Uniqueness of Solutions</title>
    <abstract language="eng">We prove an existence result for the steady state flow of gas mixtures&#13;
on networks. The basis of the model are the physical principles of the isothermal&#13;
Euler equation, coupling conditions for the flow and pressure, and the mixing of&#13;
incoming flow at nodes. The state equation is based on a convex combination of&#13;
the ideal gas equations of state for natural gas and hydrogen. We analyze mathematical&#13;
properties of the model allowing us to prove the existence of solutions in&#13;
particular for tree-shaped networks and networks with exactly one cycle. Numerical&#13;
examples illustrate the results and explore the applicability of our approach&#13;
to different network topologies.</abstract>
    <enrichment key="SubmissionStatus">accepted for publication</enrichment>
    <enrichment key="opus.source">publish</enrichment>
    <licence>Creative Commons - CC BY - Namensnennung 4.0 International</licence>
    <author>Alena Ulke</author>
    <author>Michael Schuster</author>
    <author>Simone Göttlich</author>
    <subject>
      <language>eng</language>
      <type>uncontrolled</type>
      <value>gas pipeline network</value>
    </subject>
    <subject>
      <language>eng</language>
      <type>uncontrolled</type>
      <value>gas mixture</value>
    </subject>
    <subject>
      <language>eng</language>
      <type>uncontrolled</type>
      <value>hydrogen blending</value>
    </subject>
    <subject>
      <language>eng</language>
      <type>uncontrolled</type>
      <value>isothermal Euler equations</value>
    </subject>
    <subject>
      <language>eng</language>
      <type>uncontrolled</type>
      <value>stationary states</value>
    </subject>
    <collection role="institutes" number="">Friedrich-Alexander-Universität Erlangen-Nürnberg</collection>
    <collection role="subprojects" number="">C03</collection>
    <file>https://opus4.kobv.de/opus4-trr154/files/605/UlScGo_Mixing.pdf</file>
  </doc>
</export-example>
