Original paper
Well-posedness of the Euler equation in Triebel–Lizorkin–Morrey spaces
Abstract
This paper establishes the local existence, uniqueness and a blow-up criterion for the solutions to the inviscid incompressible Euler equation in Triebel–Lizorkin–Morrey space Fp,q,rs(Rd), d≥2. As an application, we also derive the global persistence of the initial regularity in Triebel–Lizorkin–Morrey space for the solutions of 2-D Euler equation. These results are established using the logarithmic inequality of Beal–Kato–Majda type, the Moser...
Paper Details
Title
Well-posedness of the Euler equation in Triebel–Lizorkin–Morrey spaces
Published Date
Aug 26, 2018
Journal
Volume
99
Issue
5
Pages
772 - 795
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Notes
History