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

Remarks on vacuum state and uniqueness of concentration process

Vladimir G. Danilov

Abstract:
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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