Mathematical Geophysics: An Introduction to Rotating Fluids and the Navier-Stokes Equations

By Jean-Yves Chemin, B. Desjardins, Isabelle Gallagher, E. Grenier. 2006

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Local existence for the non-resistive MHD equations in Besov spaces (2015, methodology): “…the Besov spaces Bs2,1 in the corresponding Sobolev spaces H s, and using a variant of the Aubin–Lions compactness lemma (see Proposition 2.7 in Chemin et al. (2006)), there exists a subsequence of (uRm ,BRm) that converges strongly in L2(0, T ;Hs(K)) for any s ∈ (n2 − 1, n 2 ) and any…”
Uniform global solvability of the rotating Navier-Stokes equations for nondecaying initial data (2008, background): “Navier-Stokes equations, Coriolis force, global solutions, Radon measures, almost periodic initial data”