Email this article Locally bounded solutions of one-dimensional conservation laws
- Authors: Gargyants L.V.1,2
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Affiliations:
- Lomonosov Moscow State University
- Bauman Moscow State Technical University
- Issue: Vol 52, No 4 (2016)
- Pages: 458-466
- Section: Partial Differential Equations
- URL: https://journal-vniispk.ru/0012-2661/article/view/153755
- DOI: https://doi.org/10.1134/S0012266116040066
- ID: 153755
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Abstract
A one-dimensional conservation law with a power-law flux function and an exponential initial condition is considered. We construct a generalized entropy solution with countably many shock waves. This solution is sign-alternating and one-sided periodic.
About the authors
L. V. Gargyants
Lomonosov Moscow State University; Bauman Moscow State Technical University
Author for correspondence.
Email: lsteklova@gmail.com
Russian Federation, Moscow; Moscow
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