Global well‐posedness for the generalized Navier‐Stokes‐Coriolis equations with highly oscillating initial data

We study the small initial date Cauchy problem for the generalized incompressible Navier‐Stokes‐Coriolis equations in critical hybrid‐Besov space ℬ˙2,p52−2α,3p−2α+1(ℝ3)$$ {\dot{\mathcal{B}}}_{2,p}^{\frac{5}{2}-2\alpha, \frac{3}{p}-2\alpha +1}\left({\ma...

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Bibliographic Details
Published in:Mathematical methods in the applied sciences 2023-01, Vol.46 (1), p.715-731
Main Authors: Sun, Xiaochun, Liu, Mixiu, Zhang, Jihong
Format: Article
Language:English
Subjects:
cauchy problem
Cauchy problems
Fixed points (mathematics)
Fluid flow
Function space
global well‐poseness
GNSC equations
hybrid‐Besov spaces
Mathematical analysis
Semigroups
Well posed problems
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Summary:We study the small initial date Cauchy problem for the generalized incompressible Navier‐Stokes‐Coriolis equations in critical hybrid‐Besov space ℬ˙2,p52−2α,3p−2α+1(ℝ3)$$ {\dot{\mathcal{B}}}_{2,p}^{\frac{5}{2}-2\alpha, \frac{3}{p}-2\alpha +1}\left({\mathbb{R}}^3\right) $$ with 1/2
ISSN:0170-4214
1099-1476
DOI:10.1002/mma.8541