Delta wave and vacuum state for generalized Chaplygin gas dynamics system as pressure vanishes. (April 2015)

• Record Type: Journal Article
• Authors: Sheng, Wancheng; Wang, Guojuan; Yin, Gan
• Is Part Of: Nonlinear analysis. Volume 22(2015)
• Page Start: 115
• Page End: 128
• Publication Date: 2015-04
• Subjects: Generalized Chaplygin gas -- Riemann problem -- Transport equations in zero-pressure flow -- Delta wave -- Vacuum state; Nonlinear functional analysis -- Periodicals; Analyse fonctionnelle non linéaire -- Périodiques; Nonlinear functional analysis; Periodicals; 515.7248
• DOI: 10.1016/j.nonrwa.2014.08.007
• Languages: English
• ISSNs: 1468-1218

Abstract

Abstract: This paper is concerned with the Riemann problems for the system of generalized Chaplygin gas dynamics and the formation of Delta wave and vacuum state as pressure vanishes. It is proved that, the limit solutions tend to the two kinds of Riemann solutions to the transport equations in zero-pressure flow, which include a Delta wave formed by a weighted δ -measure and a vacuum state.