Compressible Navier–Stokes system with hard sphere pressure law and general inflow–outflow boundary conditions

H. J. Choe; A. Novotný; M. Yang

doi:10.1016/j.jde.2018.08.049

Compressible Navier–Stokes system with hard sphere pressure law and general inflow–outflow boundary conditions

H. J. Choe, A. Novotný, M. Yang

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

2 Citations (Scopus)

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	https://doi.org/10.1016/j.jde.2018.08.049
Publication status	Published - 2019 Mar 5

Bibliographical note

Funding Information:
The work of H.J.Ch. has been supported by the NRF grant 2015R1A5A1009350.The work of A.N. has been supported by the NRF grant 2015R1A5A1009350.The work of M.Y. has been supported by the NRF grant 2016R1C1B2015731.

Funding Information:
The work of M.Y. has been supported by the NRF grant 2016R1C1B2015731.

Publisher Copyright:
© 2018 Elsevier Inc.

All Science Journal Classification (ASJC) codes

Analysis
Applied Mathematics

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10.1016/j.jde.2018.08.049

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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.",

author = "Choe, {H. J.} and A. Novotn{\'y} and M. Yang",

note = "Funding Information: The work of H.J.Ch. has been supported by the NRF grant 2015R1A5A1009350.The work of A.N. has been supported by the NRF grant 2015R1A5A1009350.The work of M.Y. has been supported by the NRF grant 2016R1C1B2015731. Funding Information: The work of M.Y. has been supported by the NRF grant 2016R1C1B2015731. Publisher Copyright: {\textcopyright} 2018 Elsevier Inc.",

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doi = "10.1016/j.jde.2018.08.049",

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AU - Choe, H. J.

AU - Novotný, A.

AU - Yang, M.

N1 - Funding Information: The work of H.J.Ch. has been supported by the NRF grant 2015R1A5A1009350.The work of A.N. has been supported by the NRF grant 2015R1A5A1009350.The work of M.Y. has been supported by the NRF grant 2016R1C1B2015731. Funding Information: The work of M.Y. has been supported by the NRF grant 2016R1C1B2015731. Publisher Copyright: © 2018 Elsevier Inc.

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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.

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Compressible Navier–Stokes system with hard sphere pressure law and general inflow–outflow boundary conditions

Abstract

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