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Díaz Díaz, Jesús Ildefonso and Kruzhkov, Stanislav Nicolayevich
(1996)
*Propagation properties for scalar conservation laws.*
Comptes Rendus de l'Académie des Sciences. Série I. Mathématique, 323
(5).
pp. 463-468.
ISSN 0764-4442

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Official URL: http://gallica.bnf.fr/ark:/12148/bpt6k57599748

## Abstract

We study the propagation of an initial disturbance u(0)(x) of an equilibrium state s epsilon R for the scalar conservation law u(t) + phi(u)(x) = 0 in (0, + infinity) x R. We give a necessary and sufficient condition on phi for the following propagation property: if support of (u(0)(.) - s) is compact then the support of (u(0)(t,.) - s) is also compact for t epsilon [0, T-0), for some T-0 epsilon (0, + infinity]. The proofs are based on the study of suitable associated Riemann problems.

Item Type: | Article |
---|---|

Uncontrolled Keywords: | initial disturbance; Riemann problems |

Subjects: | Sciences > Mathematics > Differential equations |

ID Code: | 15836 |

Deposited On: | 05 Jul 2012 09:55 |

Last Modified: | 12 Dec 2018 15:08 |

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