<?xml version="1.0" encoding="ISO-8859-1"?><article xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance">
<front>
<journal-meta>
<journal-id>0034-7426</journal-id>
<journal-title><![CDATA[Revista Colombiana de Matemáticas]]></journal-title>
<abbrev-journal-title><![CDATA[Rev.colomb.mat.]]></abbrev-journal-title>
<issn>0034-7426</issn>
<publisher>
<publisher-name><![CDATA[Universidad Nacional de Colombia y Sociedad Colombiana de Matemáticas]]></publisher-name>
</publisher>
</journal-meta>
<article-meta>
<article-id>S0034-74262006000100005</article-id>
<title-group>
<article-title xml:lang="en"><![CDATA[EXISTENCE OF GLOBAL ENTROPY SOLUTIONS TO A NON-STRICTLY HYPERBOLIC SYSTEM WITH A SOURCE]]></article-title>
</title-group>
<contrib-group>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Yang]]></surname>
<given-names><![CDATA[Rei-Fang]]></given-names>
</name>
<xref ref-type="aff" rid="A01"/>
</contrib>
</contrib-group>
<aff id="A01">
<institution><![CDATA[,University of Aeronautics & Astronautics College of Sciences ]]></institution>
<addr-line><![CDATA[Nanjing ]]></addr-line>
<country>China</country>
</aff>
<pub-date pub-type="pub">
<day>00</day>
<month>06</month>
<year>2006</year>
</pub-date>
<pub-date pub-type="epub">
<day>00</day>
<month>06</month>
<year>2006</year>
</pub-date>
<volume>40</volume>
<numero>1</numero>
<fpage>53</fpage>
<lpage>64</lpage>
<copyright-statement/>
<copyright-year/>
<self-uri xlink:href="http://www.scielo.org.co/scielo.php?script=sci_arttext&amp;pid=S0034-74262006000100005&amp;lng=en&amp;nrm=iso"></self-uri><self-uri xlink:href="http://www.scielo.org.co/scielo.php?script=sci_abstract&amp;pid=S0034-74262006000100005&amp;lng=en&amp;nrm=iso"></self-uri><self-uri xlink:href="http://www.scielo.org.co/scielo.php?script=sci_pdf&amp;pid=S0034-74262006000100005&amp;lng=en&amp;nrm=iso"></self-uri><abstract abstract-type="short" xml:lang="en"><p><![CDATA[In this paper we use the theory of compensated compactness coupled with some basic ideas of the Kinetic formulation to establish an existence theorem for global entropy solutions to the non-strictly hyperbolic system with a source Imagen 1.]]></p></abstract>
<abstract abstract-type="short" xml:lang="es"><p><![CDATA[En este artículo usamos la teoría de la compacidad compensada asociada con algunas ideas básicas de formulación Kinetica para establecer un teorema de existencia para soluciones de entropía global del sistema no estrictamente hiperbólico con fuente Imagen 1.]]></p></abstract>
<kwd-group>
<kwd lng="en"><![CDATA[Entropy solution]]></kwd>
<kwd lng="en"><![CDATA[Kinetic formulation]]></kwd>
<kwd lng="en"><![CDATA[the maximum principle]]></kwd>
</kwd-group>
</article-meta>
</front><body><![CDATA[  <font size="2" face=verdana>      <p> <font size="4">      <center>    <b>EXISTENCE OF GLOBAL ENTROPY SOLUTIONS TO A NON-STRICTLY HYPERBOLIC SYSTEM WITH    A SOURCE</b>   </center>  </font></p>       <p>&nbsp;</p>     <p><b>Rei-Fang Yang</b>     <p>  College of Sciences. University of Aeronautics &amp; Astronautics. Nanjing 210016. </p>      <p> Nanjing, China</p>      <p>e-mail: <a href="mailto:zjbyrn@nuaa.edu.cn">zjbyrn@nuaa.edu.cn</a> </p>  <hr size="1">      <p><b>ABSTRACT</b>. In this paper we use the theory of compensated compactness    coupled with some basic ideas of the Kinetic formulation to establish an existence    theorem for global entropy solutions to the non-strictly hyperbolic system with    a source Imagen 1.</p>     <p><i><b>Keywords and phrases</b></i>. Entropy solution, Kinetic formulation,    the maximum principle.</p>     ]]></body>
<body><![CDATA[<p> <i>2000 Mathematics Subject Classification</i>. Primary: 35D05. </p> <hr size="1">     <p><b>RESUMEN</b>. En este artículo usamos la teoría de la compacidad compensada    asociada con algunas ideas b&aacute;sicas de formulación Kinetica para establecer    un teorema de existencia para soluciones de entropía global del sistema no estrictamente    hiperbólico con fuente Imagen 1.</p>   <hr size="2">     <p>FULL TEXT IN <a href="pdf/rcm/v40n1/v40n1a04.pdf">PDF</a></p>  <hr size="2">     <p>    <center><b>REFERENCES</b></center></p>        <!-- ref --><p>&#91;1&#93; G. Q. Chen &amp; J. Glimm, Global solutions    to the compressible Euler equations with geometric structure, Commun. Math.    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