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Delta shock wave as limits of vanishing viscosity for zero‐pressure gas dynamics with energy conservation law

Shiwei Li

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Source: Crossref

Published: Dec 16, 2022

DOI: 10.1002/zamm.202100377

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Source abstract

Abstract This paper studies the system of conservation laws of mass, momentum, and energy in zero‐pressure gas dynamics. By the vanishing viscosity method, the stability of the solutions involving delta shock wave with Dirac delta functions developing in both state variables is established.

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Delta shock wave as limits of vanishing viscosity for zero‐pressure gas dynamics with energy conservation law — Mathematical Frontier Network