Liouville type theorems for axially symmetric Navier-Stokes equations
نویسندگان
چکیده
منابع مشابه
Liouville type of theorems with weights for the Navier-Stokes equations and the Euler equations
We study Liouville type of theorems for the Navier-Stokes and the Euler equations on R N , N ≥ 2. Specifically, we prove that if a weak solution (v, p) satisfies |v| 2 +|p| ∈ L 1 (0, T ; L 1 (R N , w 1 (x)dx)) and R N p(x, t)w 2 (x)dx ≥ 0 for some weight functions w 1 (x) and w 2 (x), then the solution is trivial, namely v = 0 almost everywhere on R N × (0, T). Similar results hold for the MHD ...
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ژورنال
عنوان ژورنال: SCIENTIA SINICA Mathematica
سال: 2021
ISSN: 1674-7216
DOI: 10.1360/ssm-2020-0179