Asymptotic stability of Landau solutions to Navier-Stokes system
classification
🧮 math.AP
keywords
solutionsnavier-stokessystemasymptoticasymptoticallyaxisymmetricdegreedimensional
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It is known that the three dimensional Navier-Stokes system for an incompressible fluid in the whole space has a one parameter family of explicit stationary solutions, which are axisymmetric and homogeneous of degree -1. We show that these solutions are asymptotically stable under any $L^2$-perturbation.
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