Product of distributions and the zero-pressure gas dynamics system
DOI:
https://doi.org/10.11606/issn.2316-9028.v7i2p253-277Abstract
In this survey article, we discuss a few applications of three successful notions of the product of distributions (the Colombeau algebra, the method of weak asymptotics and the notion of paths) with regard to the zero-pressure gas dynamics system and the associated adhesion approximation. It is shown that the three notions are closely related atleast in the case of one dimensions.
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Product of distributions and the zero-pressure gas dynamics system. (2013). The São Paulo Journal of Mathematical Sciences, 7(2), 253-277. https://doi.org/10.11606/issn.2316-9028.v7i2p253-277