Systems of Conservation Laws
Subtitle: Two-Dimensional Riemann Problems
By: by Yuxi Zheng
Series: Progress in Nonlinear Differential Equations and Their Applications -- 38; Progress in nonlinear differential equations and their applications -- 38.
Publisher: Birkhäuser Boston; Imprint: Birkhäuser
Published: 2001
Place of publication: Boston, MA
Language: eng
Format: [electronic resource] :
Number of pages: 320
ISBN-13: 9781461266310; 9781461201410
Subjects: Mathematics; Global analysis (Mathematics); Computer science
Description: 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.
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