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Generalized characteristics and the uniqueness of entropy solutions to zero-pressure gas dynamics. (English) Zbl 1035.35072
The zero-pressure one dimensional gas dynamics equations are considered. It is observed that there exist measure-valued solutions that obey the Oleinik entropy inequality and the so-called the cohesion condition that prohibits initial separation of particles. The method of generalized characteristics is developed further to prove uniqueness of such solutions.

MSC:
35L65 Hyperbolic conservation laws
76N10 Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics
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