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Mass, momentum and energy conservation laws in zero-pressure gas dynamics and delta-shocks: II
Linnaeus University, Faculty of Science and Engineering, School of Computer Science, Physics and Mathematics. (Vågor och signaler)
Department of Differential Equations, Moscow State University.
St Petersburg State University.
2011 (English)In: Applicable Analysis, ISSN 0003-6811, E-ISSN 1563-504X, Vol. 90, no 5, p. 831-842Article in journal (Refereed) Published
Abstract [en]

We study delta-shocks in one-dimensional system of zero-pressure gas dynamics. In contrast to well-known papers this system is considered in form of mass, momentum and energy conservation laws. It order to define such singular solutions special integral identities are introduced which extend the concept of classical weak solutions. Using these integral identities, the Rankine-Hugoniot conditions for ±-shocks are obtained. It is proved that the mass, momentum and energy transport processes between the area outside of the delta-shock wave front and this front are going on such that the total mass, momentum and energy are independent of time, while the mass and energy concentration processes onto the moving delta-shock wave front are going on. Therewith the total kinetic energy transfers into total internal energy.

Place, publisher, year, edition, pages
2011. Vol. 90, no 5, p. 831-842
National Category
Physical Sciences
Research subject
Natural Science, Physics
Identifiers
URN: urn:nbn:se:lnu:diva-7528DOI: 10.1080/00036811.2010.524156OAI: oai:DiVA.org:lnu-7528DiVA, id: diva2:344585
Available from: 2010-08-19 Created: 2010-08-19 Last updated: 2017-12-12Bibliographically approved

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Nilsson, Börje

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