Decay estimates of global solutions to 2D incompressible inhomogeneous Navier-Stokes equations with variable viscosity
Jingchi Huang (AMSS), Marius Paicu
TL;DR
This paper studies how solutions to 2D incompressible inhomogeneous Navier-Stokes equations with variable viscosity diminish over time, providing decay estimates for weak solutions.
Contribution
It offers new decay estimates for Lions weak solutions of 2D inhomogeneous Navier-Stokes equations with variable viscosity.
Findings
Decay rates for weak solutions established
Enhanced understanding of long-term behavior of solutions
Applicable to variable viscosity fluid models
Abstract
In this paper, we investigate the time decay behavior to Lions weak solution of 2D incompressible density-dependent Navier-Stokes equations with variable viscosity.
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Taxonomy
TopicsNavier-Stokes equation solutions · Advanced Mathematical Physics Problems · Stability and Controllability of Differential Equations