Pullback dynamics of a 3D Navier-Stokes equation with nonlinear viscosity

Autor: Yang, Xin-Guang, Feng, Baowei, Wang, Shubin, Ma, To Fu, Lu, Yongjin
Rok vydání: 2018
Předmět:
Druh dokumentu: Working Paper
Popis: 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.
Databáze: arXiv