학술논문

Long Time Decay of Leray Solution of 3D-NSE With Damping
Document Type
Working Paper
Source
Subject
Mathematics - Analysis of PDEs
Language
Abstract
In \cite{CJ}, the authors show that the Cauchy problem of the Navier-Stokes equations with damping $\alpha|u|^{\beta-1}u(\alpha>0,\;\beta\geq1)$ has global weak solutions in $L^2(\R^3)$. In this paper, we prove the uniqueness, the continuity in $L^2$ for $\beta>3$, also the large time decay is proved for $\beta\geq\frac{10}3$. Fourier analysis and standard techniques are used.
Comment: arXiv admin note: substantial text overlap with arXiv:2201.08292