Advances in Differential Equations

On the existence of inviscid compressible steady flows through a three-dimensional bounded domain

Luc Molinet

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Abstract

In this paper, we study the existence of steady flows of an inviscid compressible barotropic fluid through a bounded simply connected domain $\Omega \in \mathbb{R}^3$. We prove, under suitable conditions on the data, the existence and local uniqueness of a subsonic steady compressible flow satisfying a given mass flow per unit surface on the whole boundary of the domain, as well as two additional conditions on the inflow boundary.

Article information

Source
Adv. Differential Equations Volume 4, Number 4 (1999), 493-528.

Dates
First available in Project Euclid: 15 April 2013

Permanent link to this document
https://projecteuclid.org/euclid.ade/1366031030

Mathematical Reviews number (MathSciNet)
MR1693286

Zentralblatt MATH identifier
0961.35129

Subjects
Primary: 35Q35: PDEs in connection with fluid mechanics
Secondary: 76N10: Existence, uniqueness, and regularity theory [See also 35L60, 35L65, 35Q30]

Citation

Molinet, Luc. On the existence of inviscid compressible steady flows through a three-dimensional bounded domain. Adv. Differential Equations 4 (1999), no. 4, 493--528. https://projecteuclid.org/euclid.ade/1366031030.


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