Strong solution of 3D generalized Navier–Stokes equations with damping

Abstract This paper studies the Cauchy problem of the 3D generalized Navier-Stokes equations with damping term α | u | σ − 2 u $\alpha |u|^{\sigma -2}u$ ( σ ≥ 2 $\sigma \geq 2$ ). There are two choices for the stress tensor: S ( ∇ u ) = | ∇ u | q − 2 ∇ u + ∇ u $S(\nabla u)=|\nabla u|^{q-2}\nabla u+\...

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Bibliographic Details
Main Author: Ning Duan
Format: Article
Language:English
Published: SpringerOpen 2025-03-01
Series:Boundary Value Problems
Subjects:
Online Access:https://doi.org/10.1186/s13661-025-01998-9