Hyperbolic Systems of Balance Laws

Lectures given at the C.I.M.E. Summer School held in Cetraro, Italy, July 14-21, 2003
2007
ISBN: 978-3-540-72186-4
Verlag: Springer Berlin Heidelberg

Buch, Englisch, 356 Seiten, Format (B × H): 155 mm x 235 mm, Gewicht: 563 g

Reihe: C.I.M.E. Foundation Subseries

This volume includes four lecture courses by Bressan, Serre, Zumbrun and Williams and a Tutorial by Bressan on the Center Manifold Theorem. Bressan introduces the vanishing viscosity approach and clearly explains the building blocks of the theory. Serre focuses on existence and stability for discrete shock profiles. The lectures by Williams and Zumbrun deal with the stability of multidimensional fronts.

Zielgruppe

Research

Autoren/Hrsg.

Bressan, Alberto

Serre, Denis

Zumbrun, Kevin

Williams, Mark

Marcati, Pierangelo

Fachgebiete

• Mathematik | Informatik Mathematik Mathematische Analysis Differentialrechnungen und -gleichungen
• Naturwissenschaften Physik Mechanik Kontinuumsmechanik, Strömungslehre
• Naturwissenschaften Physik Mechanik Klassische Mechanik, Newtonsche Mechanik
• Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Numerische Mathematik
• Technische Wissenschaften Maschinenbau | Werkstoffkunde Technische Mechanik | Werkstoffkunde Strömungslehre

Inhaltsverzeichnis

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.