Analytical Solution to 1D Compressible Navier-Stokes Equations. (27th May 2021)

• Record Type: Journal Article
• Authors: Dou, Changsheng; Zhao, Zishu
• Other Names: Feichtinger Hans G. Academic Editor.
• Is Part Of: Journal of function spaces. Volume 2021(2021)
• Publication Date: 2021-05-27
• Subjects: Function spaces -- Periodicals; 515.7305
• DOI: 10.1155/2021/6339203
• Languages: English
• ISSNs: 2314-8896

Abstract

Abstract : There exist complex behavior of the solution to the 1D compressible Navier-Stokes equations in half space. We find an interesting phenomenon on the solution to 1D compressible isentropic Navier-Stokes equations with constant viscosity coefficient on x, t ∈ 0, + ∞ × R +, that is, the solutions to the initial boundary value problem to 1D compressible Navier-Stokes equations in half space can be transformed to the solution to the Riccati differential equation under some suitable conditions.