Hyperbolic Systems of Balance Laws Lectures given at the C.I.M.E. Summer School held in Cetraro, Italy, July 14–21, 2003 /

• Main Authors: Bressan, Alberto (Author), Serre, Denis (Author), Williams, Mark (Author), Zumbrun, Kevin (Author)
• Corporate Author: SpringerLink (Online service)
• Other Authors: Marcati, Pierangelo (Editor)
• Format: Electronic eBook
• Language: English
• Published: Berlin, Heidelberg : Springer Berlin Heidelberg, 2007.
• Series: Lecture Notes in Mathematics, 1911
• Subjects: Mathematics.; Partial differential equations.; Numerical analysis.; Continuum physics.; Partial Differential Equations.; Classical Continuum Physics.; Numerical Analysis.

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 appro...

Table of Contents:

• 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.