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<p>In this paper, we prove the global existence, uniqueness and the continuity in <InlineEquation ID="IEq4"> <EquationSource Format="TEX">\(L^2\)</EquationSource> </InlineEquation> of the incompressible Navier–Stokes equations with damping <i>f</i>(|<i>u</i>|)<i>u</i>, where <i>f</i> is an increasing, convex and differentiable function on <InlineEquation ID="IEq5"> <EquationSource Format="TEX">\(\mathbb {R}^+\)</EquationSource> </InlineEquation>, null at zero.</p>

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Generalization of \(3D-NSE\) global weak solution with damping

  • 期刊论文

  • 发表日期：

    2025年11月15日

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  • Mustapha Amara,
  • Chaala Katar,
  • Maroua Ltifi

摘要

In this paper, we prove the global existence, uniqueness and the continuity in \(L^2\) of the incompressible Navier–Stokes equations with damping f(|u|)u, where f is an increasing, convex and differentiable function on \(\mathbb {R}^+\) , null at zero.