Abstract
From the mathematical point of view, the mixed-type systems (first order in time, second order in space) that we have considered in the previous chapter are associated to the parabolic type of equations. The prototype could be the Navier-Stokes equation of fluid dynamics, where second order space derivatives appear in the viscosity terms. Parabolic equations are not the ones usually associated with causal propagation phenomena, where a finite propagation speed can be derived in a natural way from the governing equations.
Preview
Unable to display preview. Download preview PDF.
Author information
Authors and Affiliations
Rights and permissions
About this chapter
Cite this chapter
Bona, C., Palenzuela-Luque, C. First Order Hyperbolic Systems. In: Elements of Numerical Relativity. Lecture Notes in Physics, vol 673. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11420293_4
Download citation
DOI: https://doi.org/10.1007/11420293_4
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-25779-0
Online ISBN: 978-3-540-31518-6
eBook Packages: Physics and AstronomyPhysics and Astronomy (R0)