Book Details

Hyperbolic Systems of Balance Laws

Publication year: 2007

ISBN: 978-3-540-72187-1

Internet Resource: Please Login to download book


The present Cime volume includes four lectures by Bressan, Serre, Zumbrun and Williams and an appendix with a Tutorial on Center Manifold Theorem by Bressan. Bressan’s notes start with an extensive review of the theory of hyperbolic conservation laws. Then he introduces the vanishing viscosity approach and explains clearly the building blocks of the theory in particular the crucial role of the decomposition by travelling waves. Serre focuses on existence and stability for discrete shock profiles, he reviews the existence both in the rational and in the irrational cases and gives a concise introduction to the use of spectral methods for stability analysis. Finally the lectures by Williams and Zumbrun deal with the stability of multidimensional fronts.


Subject: Mathematics and Statistics, Profil, discrete shock profiles, hyperbolic conservation laws, nonlinear hypebolic systems, stability of shock waves, vanishing viscosity