Generalization of 3D-NSE Global Weak Solution with damping

Mustapha Amara; Chaala Katar; Maroua Ltifi

Generalization of 3D-NSE Global Weak Solution with damping

Analysis of PDEs 2024-12-19 v1

Authors: Mustapha Amara , Chaala Katar , Maroua Ltifi

Abstract

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.

Keywords

navier-stokes equations global existence

Cite

@article{arxiv.2412.14040,
  title  = {Generalization of 3D-NSE Global Weak Solution with damping},
  author = {Mustapha Amara and Chaala Katar and Maroua Ltifi},
  journal= {arXiv preprint arXiv:2412.14040},
  year   = {2024}
}

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