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

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...

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Bibliographic Details
Main Authors Yang, Xin-Guang, Feng, Baowei, Wang, Shubin, Ma, To Fu, Lu, Yongjin
Format Journal Article
LanguageEnglish
Published 20.05.2018
Subjects
Mathematics - Analysis of PDEs
Mathematics - Dynamical Systems
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DOI10.48550/arxiv.1805.07779

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Summary: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.
DOI:10.48550/arxiv.1805.07779