On the well-posedness of the quasi-geostrophic equation in the Triebel-Lizorkin-Lorentz spaces

DOI10.1007/s00028-010-0090-yzbMath1231.35181OpenAlexW1994733760MaRDI QIDQ657034

Zhaoyin Xiang, Wei Yan

Publication date: 13 January 2012

Published in: Journal of Evolution Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00028-010-0090-y

zbMATH Keywords

local well-posednessblow-up criterionquasi-geostrophic equationTriebel-Lizorkin-Lorentz spaces

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) PDEs in connection with fluid mechanics (35Q35) Initial value problems for nonlinear first-order PDEs (35F25) Blow-up in context of PDEs (35B44) PDEs in connection with geophysics (35Q86)

Related Items (10)

Function spaces of Lorentz-Sobolev type: atomic decompositions, characterizations in terms of wavelets, interpolation and multiplications ⋮ On the steady solutions of the inviscid two-dimensional quasi-geostrophic equation ⋮ Local well-posedness for the quasi-geostrophic equations in Besov-Lorentz spaces ⋮ On the viscous instabilities and transitions of two-layer model with a layered topography ⋮ On the well-posedness of the Boussinesq equation in the Triebel-Lizorkin-Lorentz spaces ⋮ Triebel-Lizorkin-Lorentz spaces and the Navier-Stokes equations ⋮ On Gagliardo-Nirenberg type inequalities ⋮ On function spaces of Lorentz-Sobolev type ⋮ The well-posedness of the surface quasi-geostrophic equations in the Besov-Morrey spaces ⋮ Local well-posedness for the homogeneous Euler equations

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