Hyperbolic Systems of Balance Laws : Lectures given at the C.I.M.E. Summer School held in Cetraro, Italy, July 14–21, 2003
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The work Hyperbolic Systems of Balance Laws : Lectures given at the C.I.M.E. Summer School held in Cetraro, Italy, July 14–21, 2003 represents a distinct intellectual or artistic creation found in Boston University Libraries. This resource is a combination of several types including: Work, Language Material, Books.
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Hyperbolic Systems of Balance Laws : Lectures given at the C.I.M.E. Summer School held in Cetraro, Italy, July 14–21, 2003
Resource Information
The work Hyperbolic Systems of Balance Laws : Lectures given at the C.I.M.E. Summer School held in Cetraro, Italy, July 14–21, 2003 represents a distinct intellectual or artistic creation found in Boston University Libraries. This resource is a combination of several types including: Work, Language Material, Books.
 Label
 Hyperbolic Systems of Balance Laws : Lectures given at the C.I.M.E. Summer School held in Cetraro, Italy, July 14–21, 2003
 Title remainder
 Lectures given at the C.I.M.E. Summer School held in Cetraro, Italy, July 14–21, 2003
 Statement of responsibility
 by Alberto Bressan, Denis Serre, Mark Williams, Kevin Zumbrun ; edited by Pierangelo Marcati
 Subject

 Mechanics, Fluids, Thermodynamics
 Mathematics
 Mathematics
 Numerical analysis
 Numerical analysis
 Thermodynamics
 Numerical analysis
 Numerical Analysis
 Electronic resources
 Thermodynamics
 Mathematics
 Numerical Analysis
 Partial Differential Equations
 Thermodynamics
 Differential equations, partial
 Numerical Analysis
 Differential equations, partial
 Differential equations, partial
 Language
 eng
 Summary
 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. Williams’ lecture describes the stability of multidimensional viscous shocks: the small viscosity limit, linearization and conjugation, Evans functions, Lopatinski determinants etc. Zumbrun discusses planar stability for viscous shocks with a realistic physical viscosity, necessary and sufficient conditions for nonlinear stability, in analogy to the Lopatinski condition obtained by Majda for the inviscid case
 Image bit depth
 0
 LC call number
 QA370380
 Literary form
 non fiction
 Series statement
 Lecture Notes in Mathematics,
 Series volume
 1911
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