On the structure of solutions for general hyperbolic systems of balance laws

2018/03/05 by Fabio Ancona, Ancona, Fabio, Laura Caravenna +3
Engineering · Mathematics · #35L45 #35L65 #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #FOS: Mathematics #Navier-Stokes equation solutions #Stability and Controllability of Differential Equations

paper · pdf · doi:10.48550/arxiv.1803.01889

openalex publication_date 2018/03/05 · openalex created_date 2018/03/29 · openalex updated_date 2026/07/28

Abstract

The paper describes the qualitative structure of BV entropy solutions of a strictly hyperbolic system of balance laws with characteristic fields either piecewise genuinely nonlinear or linearly degenerate. In particular, we provide an accurate description of the local and global wave-front structure of a BV solution generated by a fractional step scheme combined with a wave-front tracking algorithm. This extends the corresponding results by Binahcini and Yu for strictly hyperbolic systems of conservation laws.

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