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Mass, momentum and energy conservation laws in zero-pressure gas dynamics and delta-shocks
Linnaeus University, Faculty of Science and Engineering, School of Computer Science, Physics and Mathematics. (Vågor och signaler)
St Petersburg State University.
2011 (English)In: Applicable Analysis, ISSN 0003-6811, E-ISSN 1563-504X, Vol. 90, no 11, 1677-1689 p.Article in journal (Refereed) Published
Abstract [en]

For one-dimensional system of zero-pressure gas dynamics, we derive the balance laws describing mass, momentum and energy transport from the area outside the δ-shock wave front onto its front. It is proved that the total mass and momentum of area outside δ-shock wave front and the the δ-shock wave front are conserved, while the kinetic energy of the area outside the δ-shock wave front and total kinetic energy are decreasing quantities. It is also proved that if the kinetic energy is conserved then the Cauchy problem cannot have any nontrivial δ-shock wave type solution.

Place, publisher, year, edition, pages
2011. Vol. 90, no 11, 1677-1689 p.
National Category
Engineering and Technology
Research subject
Physics, Waves and Signals
Identifiers
URN: urn:nbn:se:lnu:diva-7468DOI: 10.1080/00036810903569515OAI: oai:DiVA.org:lnu-7468DiVA: diva2:344293
Available from: 2010-08-18 Created: 2010-08-18 Last updated: 2012-01-13Bibliographically approved

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Nilsson, Börje
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CiteExportLink to record
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Citation style
  • apa
  • harvard1
  • ieee
  • modern-language-association-8th-edition
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  • de-DE
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Output format
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