Systems of Conservation Laws: Two-Dimensional Riemann Problems (Progress in Nonlinear Differential Equations and Their Applications 38)

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.