ON THE CAUCHY PROBLEM FOR AW-RASCLE SYSTEM WITH LINEAR DAMPING

• 来源期刊: 数学物理学报（英文版）
• 年，卷（期）: 2021,（1）
• 页码范围: 311-318
• 页数: 8页
• 语种: 英文
• DOI: 10.3969/j.issn.0252-9602.2021.01.018

摘要

The existence of global BV solutions for the Aw-Rascle system with linear damp-ing is considered.In order to get approximate solutions we consider the system in Lagrangian coordinates,then by using the wave front tracking method coupling with and suitable split-ting algorithm and the ideas of[1]we get a sequence of approximate solutions.Finally we show the convergence of this approximate sequence to the weak entropic solution.