On the shift differentiability of the flow generated by a hyperbolic system of conservation laws
type: Item
instance of: scholarly article
title: On the shift differentiability of the flow generated by a hyperbolic system of conservation laws
zbMATH Open document ID: 1018.35051
author: Stefano Bianchini
published in: Discrete and Continuous Dynamical Systems
publication date: 2000-08-16T00:00:00Z
review text: The author adresses the question of differentiability of the flow generated by a strictly hyperbolic system of conservation laws. Using a simple decomposition of \(u\in\text{BV}\) in terms of its derivative, the author gives a unified definition of the shift tangent vector, valid both in the scalar and vector case. This extension allows the author to study the shift differentiability of the flow generated by a hyperbolic system of conservation laws.
Mathematics Subject Classification ID: 35L65
Mathematics Subject Classification ID: 35B30
zbMATH DE Number: 1492637
zbMATH Keywords: differentiability of the flow
zbMATH Keywords: shift tangent vector
reviewed by: Messoud Efendiev
MaRDI profile type: Publication
full work available at URL: dcds.2000.6.329
OpenAlex ID: W1968280931
DOI: 10.3934/DCDS.2000.6.329
description: scientific article; zbMATH DE number 1492637