Abstract
We prove the existence of a weak solution to the compressible Navier–Stokes system with hard sphere possibly non-monotone pressure law involving, in particular, the Carnahan–Starling model [2] largely employed in various physical and industrial applications. We take into account large velocities prescribed at the boundary of a bounded piecewise C2 domain and large densities prescribed at the inflow boundary without any restriction neither on the shape of the inflow/outflow boundaries nor on the shape of the domain.
| Original language | English |
|---|---|
| Pages (from-to) | 3066-3099 |
| Number of pages | 34 |
| Journal | Journal of Differential Equations |
| Volume | 266 |
| Issue number | 6 |
| DOIs | |
| Publication status | Published - 2019 Mar 5 |
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All Science Journal Classification (ASJC) codes
- Analysis
- Applied Mathematics
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Compressible Navier–Stokes system with hard sphere pressure law and general inflow–outflow boundary conditions. / Choe, Hi Jun; Novotný, A.; Yang, Minsuk.
In: Journal of Differential Equations, Vol. 266, No. 6, 05.03.2019, p. 3066-3099.Research output: Contribution to journal › Article
TY - JOUR
T1 - Compressible Navier–Stokes system with hard sphere pressure law and general inflow–outflow boundary conditions
AU - Choe, Hi Jun
AU - Novotný, A.
AU - Yang, Minsuk
PY - 2019/3/5
Y1 - 2019/3/5
N2 - We prove the existence of a weak solution to the compressible Navier–Stokes system with hard sphere possibly non-monotone pressure law involving, in particular, the Carnahan–Starling model [2] largely employed in various physical and industrial applications. We take into account large velocities prescribed at the boundary of a bounded piecewise C2 domain and large densities prescribed at the inflow boundary without any restriction neither on the shape of the inflow/outflow boundaries nor on the shape of the domain.
AB - We prove the existence of a weak solution to the compressible Navier–Stokes system with hard sphere possibly non-monotone pressure law involving, in particular, the Carnahan–Starling model [2] largely employed in various physical and industrial applications. We take into account large velocities prescribed at the boundary of a bounded piecewise C2 domain and large densities prescribed at the inflow boundary without any restriction neither on the shape of the inflow/outflow boundaries nor on the shape of the domain.
UR - http://www.scopus.com/inward/record.url?scp=85052864703&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=85052864703&partnerID=8YFLogxK
U2 - 10.1016/j.jde.2018.08.049
DO - 10.1016/j.jde.2018.08.049
M3 - Article
VL - 266
SP - 3066
EP - 3099
JO - Journal of Differential Equations
JF - Journal of Differential Equations
SN - 0022-0396
IS - 6
ER -