Abstract
In this lecture I shall discuss the ideas of my monograph “The Formation of Shocks in 3-Dimensonal Fluids”. The monograph studies the relativistic Euler equations in 3 space dimensions for a perfect fluid with an arbitrary equation of state.
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.
Similar content being viewed by others
References
D. Christodoulou, “The Action Principle and Partial Differential Equations”, Ann. Math. Stud., Vol. 46, Princeton University Press, 2000.
D. Christodoulou, “The Formation of Shocks in 3-Dimensional Fluids”, EMS Monographs in Mathematics, EMS Publishing House, 2007. The analogous problem for the classical, non-relativistic Euler equations, is studied in the following monograph
D. Christodoulou and S. Miao, “Compressible Flow and Euler’s Equations”, http://arxiv.org/abs/1212.2867.
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2013 Scuola Normale Superiore Pisa
About this paper
Cite this paper
Christodoulou, D. (2013). The analysis of shock formation in 3-dimensional fluids. In: Chambolle, A., Novaga, M., Valdinoci, E. (eds) Geometric Partial Differential Equations proceedings. CRM Series, vol 15. Edizioni della Normale, Pisa. https://doi.org/10.1007/978-88-7642-473-1_6
Download citation
DOI: https://doi.org/10.1007/978-88-7642-473-1_6
Publisher Name: Edizioni della Normale, Pisa
Print ISBN: 978-88-7642-472-4
Online ISBN: 978-88-7642-473-1
eBook Packages: Mathematics and StatisticsMathematics and Statistics (R0)