Asymptotic Time-Behaviour of Solutions to Scalar Conservation Law with a Convex Flux Function

We consider the long-time behaviour of solutions of the Cauchy problem for a quasilinear equation ut + f(u)x = 0 with a strictly convex flux function f(u) and initial function u0(x) having the the one-sided limiting mean values u± that are uniform with respect to translations. The estimates of the r...

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Bibliographic Details
Main Author: Petrosyan Natalia
Format: Article
Language:English
Published: EDP Sciences 2019-01-01
Series:EPJ Web of Conferences
Online Access:https://www.epj-conferences.org/articles/epjconf/pdf/2019/29/epjconf_mnps2018_01005.pdf