Constructing unbounded discontinuous solutions of scalar conservation laws using the Legendre transform
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Publication:5003299
DOI10.1070/SM9383zbMath1469.35144OpenAlexW3122882925WikidataQ114849609 ScholiaQ114849609MaRDI QIDQ5003299
L. V. Gargyants, Andrey Yu. Goritsky, Evgeny Yu. Panov
Publication date: 21 July 2021
Published in: Sbornik: Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1070/sm9383
Hyperbolic conservation laws (35L65) Weak solutions to PDEs (35D30) Initial value problems for first-order hyperbolic equations (35L03)
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Cites Work
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- Locally bounded solutions of one-dimensional conservation laws
- Existence and uniqueness of unbounded entropy solutions of the Cauchy problem for first-order quasilinear conservation laws
- Construction of unbounded entropy solution of Cauchy problem with a countable number of shock waves
- Example of nonuniqueness of entropy solutions in the class of locally bounded functions.
- Example of nonexistence of a positive generalized entropy solution of a Cauchy problem with unbounded positive initial data
- Conservation laws with continuous flux functions
- On locally bounded solutions of the Cauchy problem for a first-order quasilinear equation with power flux function
- Nonuniqueness of unbounded solutions of the Cauchy problem for scalar conservation laws
- On well-posedness classes of locally bounded generalized entropy solutions of the Cauchy problem for quasilinear first-order equations
- Uniqueness and stability of the generalized solution of the Cauchy problem for a quasi-linear equation
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