Consider the equations of Navier–Stokes in ℝ3 in the rotational setting, i.e., with Coriolis force. It is shown that this set of equations admits a unique, global mild solution provided the initial data is small with respect to the norm of the Fourier–Besov space ḞB2−3/pp,r (ℝ3), where p ∈ (1,∞] and r ∈ [1,∞]. In the two-dimensional setting, a unique, global mild solution to this set of equations exists for non-small initial data u0 ∈ Lpσ(ℝ2) for p ∈ [2,∞).
CITATION STYLE
Fang, D., Han, B., & Hieber, M. (2015). Global existence results for the Navier–Stokes equations in the rotational framework in Fourier–Besov spaces. In Operator Theory: Advances and Applications (Vol. 250, pp. 199–211). Springer International Publishing. https://doi.org/10.1007/978-3-319-18494-4_13
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