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

José L. Díaz, Saeed ur Rahman and Muhammad Nouman
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José L. Díaz: Escuela Politécnica Superior, Universidad Francisco de Vitoria, Ctra. Pozuelo-Majadahonda Km 1,800, Pozuelo de Alarcón, 28223 Madrid, Spain
Saeed ur Rahman: Department of Mathematics, Abbottabad Campus, COMSATS University Islamabad, Abbottabad 22060, Pakistan
Muhammad Nouman: Department of Mathematics, Abbottabad Campus, COMSATS University Islamabad, Abbottabad 22060, Pakistan

Mathematics, 2022, vol. 10, issue 4, 1-17

Abstract: 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 Ω p 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 Ω p . 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 L 2 and B M O . Under such conditions, Liouville-type results are obtained and extended to L p , p > 2 .

Keywords: Liouville-type results; Eyring–Powell fluid; three-dimensional flow; unsteady flow (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
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