This is the second edition of a well-received book providing the fundamentals of the theory hyperbolic conservation laws. Several chapters have been rewritten, new material has been added, in particular, a chapter on space dependent flux functions and the detailed solution of the Riemann problem for the Euler equations.
Hyperbolic conservation laws are central in the theory of nonlinear partial differential equations and in science and technology. The reader is given a self-contained presentation using front tracking, which is also a numerical method. The multidimensional scalar case and the case of systems on the line are treated in detail. A chapter on finite differences is included.
From the reviews of the first edition:
"It is already one of the few best digests on this topic. The present book is an excellent compromise between theory and practice. Students will appreciate the lively and accurate style." D. Serre, MathSciNet
"I have read the book with great pleasure, and I can recommend it to experts as well as students. It can also be used for reliable and very exciting basis for a one-semester graduate course." S. Noelle, Book review, German Math. Soc.
"Making it an ideal first book for the theory of nonlinear partial differential equations...an excellent reference for a graduate course on nonlinear conservation laws." M. Laforest, Comp. Phys. Comm.
"This is the 2nd edition of the famous book ... devoted to the modern theory of hyperbolic conservation laws. ... The book is well written, well illustrated (it contains even cartoons) and may be recommended not only to experienced specialists in conservation laws but also to students specialized in this field." (Evgeniy Panov, zbMATH 1346.35004, 2016)
Series: Applied Mathematical Sciences
Number Of Pages: 517
Published: 21st March 2019
Publisher: SPRINGER VERLAG GMBH
Country of Publication: DE
Dimensions (cm): 25.4 x 17.78
Weight (kg): 0.91
Edition Number: 2
Edition Type: Revised