Abstract
The Riemann problem for the two-dimensional steady pressureless isentropic relativistic Euler equations with delta initial data is studied. First, the perturbed Riemann problem with three pieces constant initial data is solved. Then, via discussing the limits of solutions to the perturbed Riemann problem, the global solutions of Riemann problem with delta initial data are completely constructed under the stability theory of weak solutions. Interestingly, the delta contact discontinuity is found in the Riemann solutions of the two-dimensional steady pressureless isentropic relativistic Euler equations with delta initial data.
Funder
National Natural Science Foundation of China
the Scientific Research Foundation Project of Yunnan Education Department
the PhD Research Startup Foundation of Yunnan Normal University
Nan Hu Young Scholar Supporting Program of XYNU
Subject
Modeling and Simulation,Applied Mathematics
Cited by
1 articles.
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