Construction of BV Solutions by the Vanishing Viscosity Method

  • Constantine M. DafermosEmail author
Part of the Grundlehren der mathematischen Wissenschaften book series (GL, volume 325)


Admissible BV solutions to the Cauchy problem for general strictly hyperbolic systems of conservation laws, under initial data with small total variation, will be constructed by the vanishing viscosity method. It will be shown that these solutions may be realized as trajectories of an L 1-Lipschitz semigroup, which reduces to the standard Riemann semigroup, introduced in Chapter XIV, when the system is genuinely nonlinear.


Hyperbolic System Riemann Problem Characteristic Family Simple Calculation Yield Viscous Wave 
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Copyright information

© Springer-Verlag Berlin Heidelberg 2010

Authors and Affiliations

  1. 1.Division of Applied MathematicsBrown UniversityProvidenceUSA

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