On the well‐posedness of the Euler equations in the Triebel‐Lizorkin spaces

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On the Regularity Conditions for the Navier-Stokes and Related Equations (2005, methodology): “We note that there are previous papers (see [6, 8, 9, 11, 12]), where the the Triebel-Lizorkin space F s p,q was used for the study of Cauchy problems in the fluid mechanics.”
Chapter 3 - Harmonic Analysis Tools for Solving the Incompressible Navier–Stokes Equations (2005, background): “Finally, in the case of the Euler equations, there is a rich literature that makes use of paradifferential tools (see [53, 59, 220, 221, 222]).”
On the Euler Equations in the Critical Triebel-Lizorkin Spaces (2003, methodology): “Recently this criterion has been refined by Kozono & Taniuch [19], Kozono, Ogawa & Taniuch [20] and Chae [7, 8 ]. In [2] Bahouri & Dehman also obtained the blow-up criterion for the local solution in the Holder space; and Chae obtained local existence and blow-up criterion in the super-critical Bes”
Global Classical Solutions for Partially Dissipative Hyperbolic System of Balance Laws (2012, methodology): “Lerner [5], which are the refinement of the spaces LT (Ḃ s p,r) or LT (B s p,r).”