arXiv Open Access 2019

Signed Radon measure-valued solutions of flux saturated scalar conservation laws

M. Bertsch F. Smarrazzo A. Terracina A. Tesei

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Abstrak

We prove existence and uniqueness for a class of signed Radon measure-valued entropy solutions of the Cauchy problem for a first order scalar hyperbolic conservation law in one space dimension. The initial data of the problem is a finite superposition of Dirac masses, whereas the flux is Lipschitz continuous and bounded. The solution class is determined by an additional condition which is needed to prove uniqueness.

Topik & Kata Kunci

math.AP

Penulis (4)

M. Bertsch

F. Smarrazzo

A. Terracina

A. Tesei

Format Sitasi

APA MLA BibTeX

Bertsch, M., Smarrazzo, F., Terracina, A., Tesei, A. (2019). Signed Radon measure-valued solutions of flux saturated scalar conservation laws. https://arxiv.org/abs/1906.06230

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Informasi Jurnal

Tahun Terbit: 2019
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓