Delta shock solution to the generalized one-dimensional zero-pressure gas dynamics system with linear damping

In this paper, we propose a time-dependent viscous system and by using the vanishing viscosity method we show the existence of delta shock solution for a particular $2 \times 2$ system of conservation laws with linear damping.

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Hauptverfasser: De la Cruz, Richard, Juajibioy, Juan Carlos
Format: Artikel
Sprache:eng
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Zusammenfassung:In this paper, we propose a time-dependent viscous system and by using the vanishing viscosity method we show the existence of delta shock solution for a particular $2 \times 2$ system of conservation laws with linear damping.
DOI:10.48550/arxiv.2007.15184