References
- Smoller J. Shock Waves and Reaction-Diffusion Equations[M]. 2nd ed. Springer-Verlag, Berlin, 1983. https://cds.cern.ch/record/1614629.
- Yang HC, Wang JH. Concentration in vanishing pressure limit of solutions to the modified Chaplygin gas equations. J Math Phys. 2016;57(11):111504, 27 pages. DOI:10.1063/1.4967299.
- Benaoum HB. Modified Chaplygin gas cosmology. Adv High Energy Phys. 2012;21(1):339–360. DOI:10.1155/2012/357802.
- Brenier Y. Solutions with concentration to the Riemann problem for onedimensional Chaplygin gas equations. J Math Fluid Mech. 2005;7:326–331. https://link.springer.com/article/10.1007/s00021-005-0162-x.
- Fabris JC, Velten HES, Ogouyandjou C, Tossa J. Ruling out the modified Chaplygin gas cosmologies. Phys Lett B. 2011;694:289–293. DOI:10.1016/j.physletb.2010.10.022
- Saadat H, Pourhassan B. FRW bulk viscous cosmology with modified cosmic Chaplygin gas. Astrophys Space Sci. 2013;391:237–344. https://link.springer.com/article/10.1007/s10509-012-1301-5.
- Pourhassan B. Viscous modified cosmic Chaplygin gas cosmology. Int J Modern Phys D. 2013;395:237–344. https://doi.org/10.1142/S0218271813500612.
- Pan L, Han X. The Aw-Rascle traffic model with Chaplygin pressure. J Math Anal Appl. 2013;401:379–387. https://doi.org/10.1016/j.jmaa.2012.12.022.
- Chaplygin S. On gas jets. National Advisory Committee for Aeronautics; 1902 (No. 1063). https://ntrs.nasa.gov/citations/20030066368.
- Cruz N, Lepe S, Pena F. Dissipative generalized chaplygin gas as phantom dark energy. Phys Lett B. 2007;646:177–182. https://doi.org/10.1016/j.physletb.2006.12.070.
- Setare MR. Holographic Chaplygin gas model. Phys Lett B. 2007;648:329–332. https://doi.org/10.1016/j.physletb.2007.03.025.
- Sheng WC, Wang GJ, Yin G. Delta wave and vacuum state for generalized Chaplygin gas dynamics system as pressure vanishes. Nonlinear Anal Real. 2015;22:115–128. https://doi.org/10.1016/j.nonrwa.2014.08.007.
- Cheng HJ, Yang HC. Riemann problem for the relativistic Chaplygin Euler equations. J Math Anal Appl. 2011;381:17–26. https://doi.org/10.1016/j.jmaa.2011.04.017.
- Wang G. The Riemann problem for one dimensional generalized Chaplygin gas dynamics. J Math Anal Appl. 2013;403:434–450. DOI:10.1016/j.jmaa.2013.02.026.
- Cai W, Zhang YY. Interactions of delta shock waves for zero-Pressure gas dynamics with energy conservation law. Adv Math Phys. 2016(1). 12 pages. DOI:10.1155/2016/1783689.
- Chen HJ. Riemann problem for one-dimensional system of conservation laws of mass, momentum and energy in zeropressure gas dynamics. Differ Equat Appl. 2012;4:653–644. http://files.ele-math.com/articles/dea-04-37.pdf.
- Guo LH, Sheng WC, Zhang T. The two-dimensional Riemann problem for isentropic Chaplygin gas dynamic system. Commun Pure Appl Anal. 2010;9:431–458. DOI:10.3934/cpaa.2010.9.431.
- Chen SX, Qu AF. Two-dimensional Riemann problems for the Chaplygin gas. SIAM J Math Anal. 2012;44:2146–2178. DOI:10.1137/110838091.
- Pang YC. Delta shock wave in the compressible Euler equations for a Chaplygin gas. J Math Anal Appl. 2017;448:245–261. DOI:10.1016/j.jmaa.2016.10.078.
- Pang YC, Zhang Y, Wen Y. Delta shock wave to the compressible fluid flow with the generalized Chaplygin gas. Int J Non-Linear Mech. 2018;99:311–318. DOI:10.1016/j.ijnonlinmec.2017.12.014.
- Guo LH, Li T, Yin G. The limit behavior of the Riemann solutions to the generalized Chaplygin gas equations with a source term. J Math Anal Appl. 2017;455(1):127–140. DOI:10.1016/j.jmaa.2017.05.048.
- Yang HC, Wang J. Delta-shocks and vacuum states in the vanishing pressure limit of solutions to the isentropic Euler equations for modified Chaplygin gas. J Math Anal Appl. 2014;413:800–820. DOI:10.1016/j.jmaa.2013.12.025.
- Song YT, Guo LH. General limiting behavior of Riemann solutions to the non-isentropic Euler equations for modified Chaplygin gas. J Math Phys. 2020;61(4):105–126. DOI:10.1063/1.5144326
- Cheng HJ, Yang HC, Zhang YY. Riemann problem for the Chaplygin Euler equations of compressible fluid flow. Int J Nonlinear Sci Numer Simul. 2010;11(11):985–992. DOI:10.1515/IJNSNS.2010.11.11.985.
- Jiang WF, Wang Z. The comparison of the Riemann solutions in gas dynamics. J Math Anal Appl. 2015;428(2):1252–1264. DOI:10.1016/j.jmaa.2015.03.067.