Abstract
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.
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© 2010 Springer-Verlag Berlin Heidelberg
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Dafermos, C.M. (2010). Construction of BV Solutions by the Vanishing Viscosity Method. In: Hyperbolic Conservation Laws in Continuum Physics. Grundlehren der mathematischen Wissenschaften, vol 325. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-04048-1_15
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DOI: https://doi.org/10.1007/978-3-642-04048-1_15
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Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-04047-4
Online ISBN: 978-3-642-04048-1
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