Asymptotic behavior and Liouville-type theorems for axisymmetric stationary Navier-Stokes equations outside of an infinite cylinder with a periodic boundary condition
نویسندگان
چکیده
We study the asymptotic behavior of solutions to steady Navier-Stokes equations outside an infinite cylinder in R3. assume that flow is periodic x3-direction and has no swirl. This problem closely related with two-dimensional exterior problem. Under a condition on generalized finite Dirichlet integral, we give pointwise decay estimate vorticity at spatial infinity. reveals relation between integrability ∇v rate ω near Moreover, prove Liouville-type theorem only from integral.
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ژورنال
عنوان ژورنال: Journal of Differential Equations
سال: 2023
ISSN: ['1090-2732', '0022-0396']
DOI: https://doi.org/10.1016/j.jde.2023.05.025