6 citations · 12 across the 2 of their papers we have counts for
2 papers
math.AP2020★ 6 cited
Entropy-bounded solutions to the one-dimensional heat conductive compressible Navier-Stokes equations with far field vacuum
Jinkai Li, Zhouping Xin
In the presence of vacuum, the physical entropy for polytropic gases behaves singularly and it is thus a challenge to study its dynamics. It is shown in this paper that the bounded…
math.AP2017★ 6 cited
Entropy-bounded solutions to the compressible Navier-Stokes equations: with far field vacuum
Jinkai Li, Zhouping Xin
The entropy is one of the fundamental states of a fluid and, in the viscous case, the equation that it satisfies is highly singular in the region close to the vacuum. In spite of i…