Differential and Integral Equations
- Differential Integral Equations
- Volume 32, Number 5/6 (2019), 337-358.
On the global existence and stability of 3-D viscous cylindrical circulatory flows
In this paper, we are concerned with the global existence and stability of a 3-D perturbed viscous circulatory flow around an infinite long cylinder. This flow is described by 3-D compressible Navier-Stokes equations. By introducing some suitably weighted energy spaces and establishing a priori estimates, we show that the 3-D cylindrical symmetric circulatory flow is globally stable in time when the corresponding initial states are perturbed suitably small.
Differential Integral Equations, Volume 32, Number 5/6 (2019), 337-358.
First available in Project Euclid: 3 April 2019
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Yin, Huicheng; Lin, Zhang. On the global existence and stability of 3-D viscous cylindrical circulatory flows. Differential Integral Equations 32 (2019), no. 5/6, 337--358. https://projecteuclid.org/euclid.die/1554256870