<?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>0120-419X</journal-id>
<journal-title><![CDATA[Revista Integración]]></journal-title>
<abbrev-journal-title><![CDATA[Integración - UIS]]></abbrev-journal-title>
<issn>0120-419X</issn>
<publisher>
<publisher-name><![CDATA[Universidad Industrial de Santander]]></publisher-name>
</publisher>
</journal-meta>
<article-meta>
<article-id>S0120-419X2021000100004</article-id>
<article-id pub-id-type="doi">10.18273/revint.v39n1-2021004</article-id>
<title-group>
<article-title xml:lang="en"><![CDATA[Global Solutions to Isothermal System with Source]]></article-title>
<article-title xml:lang="es"><![CDATA[Soluciones globales para sistema isotérmico con fuente]]></article-title>
</title-group>
<contrib-group>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Wang]]></surname>
<given-names><![CDATA[Xian-Ting]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
</contrib>
</contrib-group>
<aff id="Af1">
<institution><![CDATA[,Wuxi Institute of Technology  ]]></institution>
<addr-line><![CDATA[ ]]></addr-line>
<country>China</country>
</aff>
<pub-date pub-type="pub">
<day>00</day>
<month>06</month>
<year>2021</year>
</pub-date>
<pub-date pub-type="epub">
<day>00</day>
<month>06</month>
<year>2021</year>
</pub-date>
<volume>39</volume>
<numero>1</numero>
<fpage>51</fpage>
<lpage>55</lpage>
<copyright-statement/>
<copyright-year/>
<self-uri xlink:href="http://www.scielo.org.co/scielo.php?script=sci_arttext&amp;pid=S0120-419X2021000100004&amp;lng=en&amp;nrm=iso"></self-uri><self-uri xlink:href="http://www.scielo.org.co/scielo.php?script=sci_abstract&amp;pid=S0120-419X2021000100004&amp;lng=en&amp;nrm=iso"></self-uri><self-uri xlink:href="http://www.scielo.org.co/scielo.php?script=sci_pdf&amp;pid=S0120-419X2021000100004&amp;lng=en&amp;nrm=iso"></self-uri><abstract abstract-type="short" xml:lang="en"><p><![CDATA[Abstract In this short note, we are concerned with the global existence of solutions to the isothermal system with source, where the inhomogeneous terms f(x, t, &#961;, u) = b(x, t)&#961; + &#961;u2 + &#945;(x, t)&#961;u|u| are appeared in the momentum equation. Our work extended the results in the previous papers &#8220;Resonance for the Isothermal System of Isentropic Gas Dynamics&#8221; (Proc. A.M.S.139(2011),2821-2826), &#8220;Global Existence and Stability to the Polytropic Gas Dynamics with an Outer Force&#8221; (Appl. Math. Letters, 95(2019), 35-40) and &#8220;Existence of Global Solutions for Isentropic Gas Flow with Friction&#8221; (Nonlinearity, 33(2020), 3940-3969), where the global solution was obtained for the source f(x, t, &#961;, u) = &#961;u2 , f(x, t, &#961;, u) = b(x, t)&#961;, f(x, t, &#961;, u) = &#945;(x, t)&#961;u|u| respectively.]]></p></abstract>
<abstract abstract-type="short" xml:lang="es"><p><![CDATA[Resumen En esta nota estamos interesados en la existencia global de soluciones para el sistema isotérmico con fuente, donde los términos no homogéneos f(x, t, &#961;, u) = b(x, t)&#961; +  &#961;u2 + &#945;(x, t)&#961;u|u| aparecen en la ecuación de momento. Nuestros resultados extienden los presentados en &#8220;Resonance for the Isothermal System of Isentropic Gas Dynamics&#8221; (Proc. A.M.S.139(2011),2821-2826), &#8220;Global Existence and Stability to the Polytropic Gas Dynamics with an Outer Force&#8221; (Appl. Math. Letters, 95(2019), 35-40) y &#8220;Existence of Global Solutions for Isentropic Gas Flow with Friction&#8221; (Nonlinearity, 33(2020), 3940-3969), en los cuales la solución global se obtuvo, respectivamente, para las fuentes f(x, t, &#961;, u) =  &#961;u2 , f(x, t, &#961;, u) = b(x, t)&#961; and f(x, t, &#961;, u) = &#945;(x, t)&#961;u|u|.]]></p></abstract>
<kwd-group>
<kwd lng="en"><![CDATA[Global L&#8734; solution]]></kwd>
<kwd lng="en"><![CDATA[isothermal system]]></kwd>
<kwd lng="en"><![CDATA[source terms]]></kwd>
<kwd lng="en"><![CDATA[compensated compactness]]></kwd>
<kwd lng="en"><![CDATA[MSC2010: 35L45]]></kwd>
<kwd lng="en"><![CDATA[35L60]]></kwd>
<kwd lng="en"><![CDATA[46T99]]></kwd>
<kwd lng="es"><![CDATA[Soluciones L&#8734; globales]]></kwd>
<kwd lng="es"><![CDATA[sistemas isotérmicos]]></kwd>
<kwd lng="es"><![CDATA[términos fuente]]></kwd>
<kwd lng="es"><![CDATA[compacidad compensada]]></kwd>
</kwd-group>
</article-meta>
</front><back>
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