Hyperbolic systems of conservation laws. The one-dimensional Cauchy problem. (English) Zbl 0997.35002

Bressan, Alberto

Oxford Lecture Series in Mathematics and its Applications. 20. Oxford: Oxford University Press. xii, 250 p. (2000).

This interesting book deals with strictly hyperbolic systems in one space dimension with special emphasis on the study of shock waves. After an introduction to the mathematical theory of these systems it presents recent results obtained by the author and his collaborators on the difficult subjects of the Riemann and Cauchy problems and stability of wave-front tracking approximations. For researchers and graduate students.

Reviewer: G.Boillat (Aubière)

MSC:

35-02	Research exposition (monographs, survey articles) pertaining to partial differential equations
35L65	Hyperbolic conservation laws
35L67	Shocks and singularities for hyperbolic equations

Keywords:

strictly hyperbolic systems; shock waves; Riemann and Cauchy problems; stability of wave-front tracking approximations