Generalized Riemann problem for the one-dimensional Chaplygin gas equations with a friction term. (January 2023)

• Record Type: Journal Article
• Authors: Singh, Mayank; Arora, Rajan
• Is Part Of: International journal of non-linear mechanics. Volume 148(2023)
• Publication Date: 2023-01
• Subjects: 35L65 -- 35L67; Generalized Riemann problem -- Contact wave -- Differential constraint method; Nonlinear mechanics -- Periodicals; Mécanique non linéaire -- Périodiques; Nonlinear mechanics; Periodicals; 531
• DOI: 10.1016/j.ijnonlinmec.2022.104298
• Languages: English
• ISSNs: 0020-7462

Abstract

Abstract: In this paper, we obtain the solution to the generalized Riemann problem (GRP) for the one-dimensional Euler's equation for Chaplygin gas equations with Coulomb-like friction term by using the differential constraint method. The compatibility condition between differential constraints and the basic governing model is derived here. For non-constant and smooth initial data, the solution to the generalized Riemann problem is presented with a complete characterization of the solutions.