Liouville-Type Results for a Two-Dimensional Stretching Eyring–Powell Fluid Flowing along the z-Axis.

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URI: https://hdl.handle.net/10641/3268
ISSN: 2227-7390
DOI: 10.3390/math10040631

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2022

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The purpose of this study is to establish Liouville-type results for a three-dimensional incompressible, unsteady flow described by the Eyring–Powell fluid equations. The fluid is studied in a plane Ωp while it moves along the z-axis. Therefore the main functions to analyze are given by u(x,y,z,t) and v(x,y,z,t) , belonging to Ωp . The results are obtained for globally bounded initial data as well as their corresponding derivatives, and the variations in velocity along the z-axis belong to the space L2 and BMO . Under such conditions, Liouville-type results are obtained and extended to Lp, p>2.

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Liouville-type results, Eyring–Powell fluid, Three-dimensional flow, Unsteady flow

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