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Liouville-Type Results for a Three-Dimensional Eyring-Powell Fluid with Globally Bounded Spatial Gradients in Initial Data

Author

Listed:
  • José Luis Díaz

    (Escuela Politécnica Superior, Universidad Francisco de Vitoria, Ctra. Pozuelo-Majadahonda Km 1800, Pozuelo de Alarcón, 28223 Madrid, Spain
    Department of Education, Universidad a Distancia de Madrid, Vía de Servicio A-6, 15, Collado Villalba, 28400 Madrid, Spain)

  • Saeed 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)

  • Julián Roa González

    (Department of Education, Universidad a Distancia de Madrid, Vía de Servicio A-6, 15, Collado Villalba, 28400 Madrid, Spain)

Abstract

The analysis in the present paper provides insights into the Liouville-type results for an Eyring-Powell fluid considered as having an incompressible and unsteady flow. The gradients in the spatial distributions of the initial data are assumed to be globally (in the sense of energy) bounded. Under this condition, solutions to the Eyring-Powell fluid equations are regular and bounded under the L 2 norm. Additionally, a numerical assessment is provided to show the mentioned regularity of solutions in the travelling wave domain. This exercise serves as a validation of the analytical approach firstly introduced.

Suggested Citation

  • José Luis Díaz & Saeed Rahman & Muhammad Nouman & Julián Roa González, 2022. "Liouville-Type Results for a Three-Dimensional Eyring-Powell Fluid with Globally Bounded Spatial Gradients in Initial Data," Mathematics, MDPI, vol. 10(5), pages 1-13, February.
    • Handle: RePEc:gam:jmathe:v:10:y:2022:i:5:p:741-:d:759250
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