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- W2321406872 abstract "We construct solution of Riemann problem for a system of four conservation lawsadmitting $delta$, $delta'$ and $delta''$-waves, using vanishing viscositymethod. The system considered hereis an extension of a system studied in [9] and [12] and admits moresingular solutions. We extend the weak formulation of [12] to the present case.For the rarefaction case, the limit is not yet fully understood, the limit givenin [12] is not correct and it does not satisfy the inviscid system. In factwe show that the limit of the third component contains $delta$ measure andthe fourth component contains the measure $delta$ and its derivative, for a specialRiemann data. We also solve Riemann type initial-boundary value problem in the quarter plane." @default.
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- W2321406872 date "2013-01-01" @default.
- W2321406872 modified "2023-09-27" @default.
- W2321406872 title "Vanishing viscosity approach to a system of conservation laws admitting $delta''$ waves" @default.
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- W2321406872 doi "https://doi.org/10.3934/cpaa.2013.12.2091" @default.
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