Example of nonexistence of a positive generalized entropy solution of a Cauchy problem with unbounded positive initial data

DOI10.1134/S106192081703013XzbMath1380.35056OpenAlexW2752910603MaRDI QIDQ1688291

L. V. Gargyants

Publication date: 5 January 2018

Published in: Russian Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s106192081703013x

zbMATH Keywords

first-order quasilinear equationexponential initial datapolynomial flux function

Mathematics Subject Classification ID

Existence problems for PDEs: global existence, local existence, non-existence (35A01) Initial value problems for nonlinear first-order PDEs (35F25)

Related Items (3)

On the Cauchy problem for a one-dimensional conservation law with initial conditions coinciding with a power or exponential function at infinity ⋮ Nonuniqueness of unbounded solutions of the Cauchy problem for scalar conservation laws ⋮ Constructing unbounded discontinuous solutions of scalar conservation laws using the Legendre transform

Cites Work

• Locally bounded solutions of one-dimensional conservation laws
• Example of nonuniqueness of entropy solutions in the class of locally bounded functions.
• Conservation laws with continuous flux functions
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Example of nonexistence of a positive generalized entropy solution of a Cauchy problem with unbounded positive initial data