Email this article On Locally Bounded Solutions of the Cauchy Problem for a First-Order Quasilinear Equation with Power Flux Function
- Authors: Gargyants L.V.1,2
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Affiliations:
- Lomonosov Moscow State University
- Bauman Moscow State Technical University
- Issue: Vol 104, No 1-2 (2018)
- Pages: 210-217
- Section: Article
- URL: https://journals.rcsi.science/0001-4346/article/view/151193
- DOI: https://doi.org/10.1134/S0001434618070222
- ID: 151193
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Abstract
For a first-order quasilinear equation with power flux function, a generalized entropy solution of the Cauchy problem with exponential initial condition is constructed. An example of a nonunique generalized entropy solution in the class of locally bounded functions of the Cauchy problem with zero initial condition is given.
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, 119991; Moscow, 105005
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