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• W4233320004 abstract "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." @default.
• W4233320004 created "2022-05-12" @default.
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• W4233320004 date "2010-06-25" @default.
• W4233320004 modified "2023-09-30" @default.
• W4233320004 title "Mass, momentum and energy conservation laws in zero-pressure gas dynamics and delta-shocks" @default.
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• W4233320004 doi "https://doi.org/10.1080/00036810903569515" @default.
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