Abstract
In this chapter we shall begin the study of quasi-linear systems of the form
where, and. We assume that the vector-valued function f is C 2 in some open subset Ω c ℝn. These equations are commonly called conservation laws in analogy to the examples of such systems which arise in physics ; see the examples below.
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
© 1994 Springer Science+Business Media New York
About this chapter
Cite this chapter
Smoller, J. (1994). Discontinuous Solutions of Conservation Laws. In: Shock Waves and Reaction—Diffusion Equations. Grundlehren der mathematischen Wissenschaften, vol 258. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-0873-0_15
Download citation
DOI: https://doi.org/10.1007/978-1-4612-0873-0_15
Publisher Name: Springer, New York, NY
Print ISBN: 978-1-4612-6929-8
Online ISBN: 978-1-4612-0873-0
eBook Packages: Springer Book Archive