7R8. Advances in the Theory of Shock Waves. Progress in Nonlinear Differential Equations and Their Applications, Vol 47. - H Freistuhler (Max Planck Inst for Math in the Sci, Leipzig, 04103, Germany) and A Szepessy (Dept of Math, Royal Inst of Tech, Stockholm, 100 44, Sweden). Birkhauser Boston, Cambridge MA. 2001. 516 pp. ISBN 0-8176-4187-4. $79.95.

Reviewed by Y Horie (Los Alamos Natl Lab, Group X-7, MS D413, Los Alamos NM 87545).

The genesis of this book is the summer school for young specialists, organized at Kochel am See, Germany in May 1999, and held in the context of the European research network “Hyperbolic Systems of Conservations Laws.” The five articles in this book are related to lectures at the school and are concerned with the mathematical theory of shock waves. But, most of the articles go far beyond the level...

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