Springer-Verlag, 2007. — 366 p. — (Lecture Notes in Mathematics 1911).
This volume includes the lecture notes delivered at the CIME Course Hyperbolic Systems of Balance Laws held July 14-21, 2003 in Cetraro (Cosenza, Italy). The present volume includes lectures notes by A. Bressan, D. Serre, K. Zumbrun and M. Williams and an appendix by A. Bressan on the center manifold theorem. These are among the hot topics in this field and can be of great interest, not only to professional mathematicians, but also for physicists and engineers.
BV Solutions to Hyperbolic Systems by Vanishing Viscosity.
Discrete Shock Profiles: Existence and Stability.
Stability of Multidimensional Viscous Shocks.
Planar Stability Criteria for Viscous Shock Waves of Systems with Real Viscosity.
Tutorial on the Center Manifold Theorem.