Existence of periodic solutions to an isothermal relativistic Euler system

Wu, Fei; Wang, Zejun

doi:10.1007/s10473-022-0108-x

Cited by 1 publication

(1 citation statement)

References 21 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Due to the high complexity of the system itself, current progress that has been made mainly focuses on the corresponding reduced 2 × 2 systems involving either the conservation laws for the number of particles and momentum or the conservation laws for momentum and energy (e.g., Refs. [4–6, 8–10, 13–15, 17], etc., and the references cited therein), and the 3 × 3 systems consisting of the conservation laws for the number of particles, momentum, and energy (e.g., Refs. [1, 7, 11, 12, 16], etc.…”

Section: Introductionmentioning

confidence: 99%

The emergence of delta shock in the limit process for two‐dimensional steady nonisentropic relativistic Euler flow onto a straight wedge

2023

Self Cite

View full text Add to dashboard Cite

In this paper, we mainly study the limit of solutions to the two-dimensional steady nonisentropic relativistic Euler flow onto a straight wedge. It turns out that the sequence of shock solutions tends to a delta wave adhering to the wedge surface when the velocity of the incident flow goes to the speed of light and the adiabatic index tends to 1 in turn. Meanwhile, it also verifies that the pressure coefficient in the limit case is consistent with the Newtonian sin-squared law when the speed of light tends to infinity. To this end, we also derive the generalized Bernoulli equation, Taub adiabat (or the generalized Hugoniot adiabat) and a shock polar, and so forth. Furthermore, we give the construction of the delta wave by the definition of weak solution.

show abstract

Section: Introductionmentioning

confidence: 99%