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Exact solutions of gasdynamic equations obtained by the method of conservation laws
Blekinge Tekniska Högskola, Sektionen för ingenjörsvetenskap, Avdelningen för matematik och naturvetenskap.
Blekinge Tekniska Högskola, Sektionen för ingenjörsvetenskap, Avdelningen för matematik och naturvetenskap.
2013 (engelsk)Inngår i: Communications in nonlinear science & numerical simulation, ISSN 1007-5704, E-ISSN 1878-7274, Vol. 18Artikkel i tidsskrift (Fagfellevurdert) Published
Abstract [en]

In the present paper, the recent method of conservation laws for constructing exact solutions for systems of nonlinear partial differential equations is applied to the gasdynamic equations describing one-dimensional and three-dimensional polytropic flows. In the one-dimensional case singular solutions are constructed in closed forms. In the threedimensional case several conservation laws are used simultaneously. It is shown that the method of conservation laws leads to particular solutions different from group invariant solutions.

sted, utgiver, år, opplag, sider
Elsevier B.V. , 2013. Vol. 18
Emneord [en]
Method of conservation laws, Gasdynamic equations, Singular solutions
HSV kategori
Identifikatorer
URN: urn:nbn:se:bth-6992DOI: 10.1016/j.cnsns.2012.12.023ISI: 000317411800009Lokal ID: oai:bth.se:forskinfoC95BF2A8B691EFB5C1257B6B00447ECCOAI: oai:DiVA.org:bth-6992DiVA, id: diva2:834555
Tilgjengelig fra: 2013-05-20 Laget: 2013-05-14 Sist oppdatert: 2017-12-04bibliografisk kontrollert

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Ibragimov, Nail H.Khamitova, Raisa
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