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 2-D 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.
This book challenges so many of the assumptions of white males who continue to attempt to keep Women from showing their work. So much courageous work is being done by Women that it simply can not be kept quiet!!!! As a white woman, I was especially pleased to see that Women of Color were included in the discussions in this book.
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