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

Author

Listed:
  • 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)

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 .

Suggested Citation

  • José L. Díaz & Saeed ur Rahman & Muhammad Nouman, 2022. "Liouville-Type Results for a Two-Dimensional Stretching Eyring–Powell Fluid Flowing along the z -Axis," Mathematics, MDPI, vol. 10(4), pages 1-17, February.
    • Handle: RePEc:gam:jmathe:v:10:y:2022:i:4:p:631-:d:752463
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    References listed on IDEAS

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    1. Muhammad Umar & Rizwan Akhtar & Zulqurnain Sabir & Hafiz Abdul Wahab & Zhu Zhiyu & Ali Imran & Muhammad Shoaib & Muhammad Asif Zahoor Raja, 2019. "Numerical Treatment for the Three-Dimensional Eyring-Powell Fluid Flow over a Stretching Sheet with Velocity Slip and Activation Energy," Advances in Mathematical Physics, Hindawi, vol. 2019, pages 1-12, May.
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