Delta shocks and vacuums to the isentropic Euler equations with the flux perturbation for van der Waals gas
type: Item
instance of: scholarly article
title: Delta shocks and vacuums to the isentropic Euler equations with the flux perturbation for van der Waals gas
zbMATH Open document ID: 1459.76127
DOI: 10.1155/2020/4215058
author: Jinhuan Wang
author: Yongbin Nie
published in: Mathematical Problems in Engineering
publication date: 2020-10-14T00:00:00Z
review text: Summary: In this paper, we study the isentropic Euler equations with the flux perturbation for van der Waals gas, in which the density has both lower and upper bounds due to the introduction of the flux approximation and the molecular excluded volume. First, we solve the Riemann problem of this system and construct the Riemann solutions. Second, the formation mechanisms of delta shocks and vacuums are analyzed for the Riemann solutions as the pressure, the flux approximation, and the molecular excluded volume all vanish. Finally, some numerical simulations are demonstrated to verify the theoretical analysis.
Mathematics Subject Classification ID: 76N15
Mathematics Subject Classification ID: 76L05
Mathematics Subject Classification ID: 35L65
Mathematics Subject Classification ID: 35L67
zbMATH DE Number: 7260962
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2020/4215058
OpenAlex ID: W3088361942
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description: scientific article; zbMATH DE number 7260962