Existence of solutions of stationary compressible navier-stokes equations with large force

Hi Jun Choe; Bum Ja Jin

doi:10.1006/jfan.2000.3639

Existence of solutions of stationary compressible navier-stokes equations with large force

Hi Jun Choe, Bum Ja Jin

Department of Mathematics

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

10 Citations (Scopus)

Abstract

In this paper, we consider the Navier-Stokes equations for isentropic, compressible flows of a polytropic gas in a bounded domain. The equations to be considered are obtained by scaling to dimensionless form and then replacing the density ρ by ρ+ε²ρ, where ε is a Mach number. The existence of solutions has been known only for small forces or large potential forces near a rest state. The aim of this paper is to give a proof of the existence of stationary compressible Navier-Stokes equations with large force, when the Mach number ε is small.

Original language	English
Pages (from-to)	54-88
Number of pages	35
Journal	Journal of Functional Analysis
Volume	177
Issue number	1
DOIs	https://doi.org/10.1006/jfan.2000.3639
Publication status	Published - 2000

Bibliographical note

Funding Information:
The authors thank Professor A. Matsumura for helpful discussions. The first author was supported by KOSEF, GARC-RIM and KRF.

All Science Journal Classification (ASJC) codes

Analysis

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10.1006/jfan.2000.3639

Cite this

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abstract = "In this paper, we consider the Navier-Stokes equations for isentropic, compressible flows of a polytropic gas in a bounded domain. The equations to be considered are obtained by scaling to dimensionless form and then replacing the density ρ by ρ+ε2ρ, where ε is a Mach number. The existence of solutions has been known only for small forces or large potential forces near a rest state. The aim of this paper is to give a proof of the existence of stationary compressible Navier-Stokes equations with large force, when the Mach number ε is small.",

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note = "Funding Information: The authors thank Professor A. Matsumura for helpful discussions. The first author was supported by KOSEF, GARC-RIM and KRF.",

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N1 - Funding Information: The authors thank Professor A. Matsumura for helpful discussions. The first author was supported by KOSEF, GARC-RIM and KRF.

PY - 2000

Y1 - 2000

N2 - In this paper, we consider the Navier-Stokes equations for isentropic, compressible flows of a polytropic gas in a bounded domain. The equations to be considered are obtained by scaling to dimensionless form and then replacing the density ρ by ρ+ε2ρ, where ε is a Mach number. The existence of solutions has been known only for small forces or large potential forces near a rest state. The aim of this paper is to give a proof of the existence of stationary compressible Navier-Stokes equations with large force, when the Mach number ε is small.

AB - In this paper, we consider the Navier-Stokes equations for isentropic, compressible flows of a polytropic gas in a bounded domain. The equations to be considered are obtained by scaling to dimensionless form and then replacing the density ρ by ρ+ε2ρ, where ε is a Mach number. The existence of solutions has been known only for small forces or large potential forces near a rest state. The aim of this paper is to give a proof of the existence of stationary compressible Navier-Stokes equations with large force, when the Mach number ε is small.

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Existence of solutions of stationary compressible navier-stokes equations with large force

Abstract

Bibliographical note

All Science Journal Classification (ASJC) codes

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