Electron. J. Diff. Eqns., Vol. 2008(2008), No. 34, pp. 1-10.

Remarks on vacuum state and uniqueness of concentration process

Vladimir G. Danilov

We give two examples of nonuniqueness of generalized solutions of pressureless gas dynamics systems. In both of these examples, the presence of the Dirac delta-function leads to nonuniqueness.

Submitted December 12, 2007. Published March 12, 2008.
Math Subject Classifications: 35L65, 35L67.
Key Words: Zero-pressure gas dynamics system; vacuum state; delta-shock solution.

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Vladimir G. Danilov
Moscow Technical University of Communications and Informatics
Aviamotornaya, 8a, 111024, Moscow, Russia
email: danilov@miem.edu.ru

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