Analysis of vorticity estimates reveals inviscid limits in 2D incompressible flows, suggesting new insights into fluid dynamics.
In this paper, we firstly investigate the vorticity equation of 2D incompressible Navier–Stokes equations with threshold boundary conditions and obtain Lp − uniform estimates in viscosity of vorticity of the solutions. From these estimates, one can establish the inviscid limits for 2D Navier–Stokes equations.
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Yang et al. (2025) studied this question.
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