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<identifier>oai:HAL:hal-00771405v1</identifier>
<datestamp>2017-12-21</datestamp>
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<setSpec>subject:math</setSpec>
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<setSpec>collection:UNIV-AG</setSpec>
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<metadata><dc>
<publisher>HAL CCSD</publisher>
<title lang=en>Obtaining shock solutions via Maslov's theory and Colombeau's algebra for conservation laws with analytical coefficients</title>
<creator>Andouze-Bernard, Séverine</creator>
<creator>Méril, Alex</creator>
<creator>Rodriguez-Bermudez, P.</creator>
<creator>Valino-Alonso, B.</creator>
<contributor>Laboratoire de Mathématiques Informatique et Applications (LAMIA) ; Université des Antilles et de la Guyane (UAG)</contributor>
<description>International audience</description>
<source>Novi Sad Journal of Mathematics</source>
<identifier>hal-00771405</identifier>
<identifier>https://hal.archives-ouvertes.fr/hal-00771405</identifier>
<source>https://hal.archives-ouvertes.fr/hal-00771405</source>
<source>Novi Sad Journal of Mathematics, 2012, 42 (1), pp.95-116</source>
<language>en</language>
<subject lang=en>Hugoniot-Maslov chain</subject>
<subject lang=en>Conservation law</subject>
<subject lang=en>analytical coefficient</subject>
<subject lang=en>Dirac and Heaviside generalized functions</subject>
<subject lang=en>Hugoniot-Maslov chain.</subject>
<subject>AMS subject classification: 35L65, 35L03, 35L67, 46F30.</subject>
<subject>[MATH.MATH-GM] Mathematics [math]/General Mathematics [math.GM]</subject>
<type>info:eu-repo/semantics/article</type>
<type>Journal articles</type>
<description lang=en>In this paper, via the algebra of generalized functions, we investigate the generalized Riemann's problem associated to conservation laws with analytical coefficients. This allows us to transform the problem into a system of ordinary differential equations. In some particular cases, such that Burgers' and conservative Richard's equation, approximated solutions are obtained by the truncation of the so called Hugoniot-Maslov's chain and numerical simulations are also presented in the case of equations with polynomial coefficients.</description>
<date>2012-07-02</date>
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