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<p>This paper investigates a specific class of history-dependent hemivariational inequalities associated arising in the context of time-dependent Navier-Stokes equations. By employing the semi-discrete method and leveraging the surjectivity theorem for multivalued operators, we establish the uniqueness of the solution to this problem. Additionally, these results are applied to analyze the unique solvability of a nonstationary Navier-Stokes equation with long memory, encountered for instance, in modeling the fluid flow of blood within a vein.</p>

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A history-dependent hemivariational inequality for a non-stationary Navier-Stokes with long-memory

  • 期刊论文

  • 发表日期：

    2025年7月1日

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  • Abderrahmane Oultou,
  • Hicham Benaissa

摘要

This paper investigates a specific class of history-dependent hemivariational inequalities associated arising in the context of time-dependent Navier-Stokes equations. By employing the semi-discrete method and leveraging the surjectivity theorem for multivalued operators, we establish the uniqueness of the solution to this problem. Additionally, these results are applied to analyze the unique solvability of a nonstationary Navier-Stokes equation with long memory, encountered for instance, in modeling the fluid flow of blood within a vein.