Strong solution of 3D generalized Navier–Stokes equations with damping
Year: 2025
Type: article
Abstract: This paper studies the Cauchy problem of the 3D generalized Navier-Stokes equations with damping term $\alpha |u|^{\sigma -2}u$ ( $\sigma \geq 2$ ). There are two choices for the stress tensor: $S(\nabla u)=|\nabla u|^{q-2}\nabla u+\nabla u$ and $S(\nabla u)=|\nabla u|^{q-2}\nabla u$ . For both cases, we consider the global existence of strong solutions by using pure energy method.
Source: Boundary Value Problems
Author: Ning Duan
Institution: Northeastern University
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: gold
Estimated APC paid: $1,890
OpenAlex ID: W4408200172