Pullback dynamics of a 3D Navier-Stokes equation with nonlinear viscosity
Dynamical Systems
2019-01-23 v3 Analysis of PDEs
Abstract
This paper is concerned with pullback dynamics of 3D Navier-Stokes equations with variable viscosity and subject to time-dependent external forces. Our main result establishes the existence of finite-dimensional pullback attractors in a general setting involving tempered universes. We also present a sufficient condition on the viscosity coefficients that guarantees the attractors are nontrivial. We end the paper by showing the upper semi-continuity of pullback attractors as the non-autonomous perturbation vanishes.
Cite
@article{arxiv.1805.07779,
title = {Pullback dynamics of a 3D Navier-Stokes equation with nonlinear viscosity},
author = {Xin-Guang Yang and Baowei Feng and Shubin Wang and To Fu Ma and Yongjin Lu},
journal= {arXiv preprint arXiv:1805.07779},
year = {2019}
}