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Chaplygin gas motions associated with nonlocal conservation laws
Blekinge Institute of Technology, Faculty of Engineering, Department of Mathematics and Natural Sciences.
Ufa State Aviat Tech Univ, Lab Grp Anal Math Models Nat & Engn Sci, Ufa 450000, Russia..
Ufa State Aviat Tech Univ, Lab Grp Anal Math Models Nat & Engn Sci, Ufa 450000, Russia..
2017 (English)In: JOURNAL OF COUPLED SYSTEMS AND MULTISCALE DYNAMICS, ISSN 2330-152X, Vol. 5, no 2-4, p. 63-68Article in journal (Refereed) Published
Abstract [en]

The recent method of conservation laws for constructing exact solutions of partial differential equations is applied to the nonlocal conservation laws of the Chaplygin gas. The nonlocal conservation laws provide twenty different types of exact solutions. They are listed in three tables. Seven types of these solutions describe isentropic flows satisfying Chaplygin's relation between the pressure and density. All solutions are written in the explicit form and contain either arbitrary functions or arbitrary constants.

Place, publisher, year, edition, pages
AMER SCIENTIFIC PUBLISHERS , 2017. Vol. 5, no 2-4, p. 63-68
Keywords [en]
Chaplygin Gas, Nonlocal Conservation Laws, Exact Solutions, Method of Conservation Laws
National Category
Other Mathematics
Identifiers
URN: urn:nbn:se:bth-16881DOI: 10.1166/jcsmd.2017.1123ISI: 000437469000001OAI: oai:DiVA.org:bth-16881DiVA, id: diva2:1239927
Available from: 2018-08-20 Created: 2018-08-20 Last updated: 2018-08-24Bibliographically approved

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Ibragimov, Nail

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