This work should serve as an introductory text for graduate students and researchers working in the important area of partial differential equations with a focus on problems involving conservation laws. The
only requisite for the reader is a knowledge of the elementary theory of partial differential equations.
Key features of this work include:
* broad range of topics, from the classical
treatment to recent results, dealing with solutions to 2D compressible Euler equations
* good review of basic concepts (1-D Riemann problems)
* concrete solutions presented, with many
examples, over 100 illustrations, open problems, and numerical schemes
* numerous exercises, comprehensive bibliography and index
* appeal to a wide audience of applied mathematicians,
graduate students, physicists, and engineers Written in a clear, accessible style, the book emphasizes more recent results that will prepare readers to meet modern challenges in the subject, that is, to carry out theoretical,
numerical, and asymptotical analysis.