Concentration of mass in the pressureless limit of the Euler equations of one-dimensional compressible fluid flow. (April 2020)

• Record Type: Journal Article
• Authors: Sheng, Shouqiong; Shao, Zhiqiang
• Is Part Of: Nonlinear analysis. Volume 52(2020)
• Publication Date: 2020-04
• Subjects: Riemann solutions -- Delta wave -- Pressureless limit -- Euler equations of one-dimensional compressible fluid flow -- Numerical simulations; Nonlinear functional analysis -- Periodicals; Analyse fonctionnelle non linéaire -- Périodiques; Nonlinear functional analysis; Periodicals; 515.7248
• DOI: 10.1016/j.nonrwa.2019.103039
• Languages: English
• ISSNs: 1468-1218

Abstract

Abstract: In this paper, we study the limiting behavior of Riemann solutions to the Euler equations of one-dimensional compressible fluid flow as γ tends to one. We show that the limit solution forms the delta wave to the pressureless Euler system of one-dimensional compressible fluid flow in the distribution sense. Some numerical results exhibiting the phenomena of concentration are also presented.