Abstract
In this chapter we begin the study of systems of conservation laws by reviewing the theory of a constant coefficient linear hyperbolic system. Here we can solve the equations explicitly by transforming to characteristic variables. We will also obtain explicit solutions of the Riemann problem and introduce a “phase space” interpretation that will be very useful in our study of nonlinear systems.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 1992 Springer Basel AG
About this chapter
Cite this chapter
LeVeque, R.J. (1992). Linear Hyperbolic Systems. In: Numerical Methods for Conservation Laws. Lectures in Mathematics ETH Zürich. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-8629-1_6
Download citation
DOI: https://doi.org/10.1007/978-3-0348-8629-1_6
Publisher Name: Birkhäuser, Basel
Print ISBN: 978-3-7643-2723-1
Online ISBN: 978-3-0348-8629-1
eBook Packages: Springer Book Archive