Robustness of 3D Navier–Stokes System with Increasing Damping
Source abstract
Abstract
The principal objective of the paper is the study of the three-dimensional Navier–Stokes system with non-autonomous perturbation force term and increasing damping term, which often appears in the fluid system within saturated porous media and other complex media. With some suitable assumptions on the system parameters and external force term, based on the known result on global well-posedness, the existence of pullback attractors is educed, and the system robustness is shown via the upper semicontinuity of system attractors as the perturbation parameter approaches a certain value.
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Research context
OpenAlex topics: Stability and Controllability of Differential Equations · Navier-Stokes equation solutions · Advanced Mathematical Modeling in Engineering
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Affiliations
College of Information and Management Science, Henan Agricultural University, Zhengzhou 450046, China
Funding
Natural Science Foundation of Henan Province, China · Key Research Project of Institutions of Higher Education of Henan
References (28)
Show source-provided references
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