Local existence and blow-up criterion of the inhomogeneous Euler equations

DOI10.1007/s00021-003-0073-7zbMath1048.35074OpenAlexW118858555MaRDI QIDQ1402383

Jihoon Lee, Donghao Chae

Publication date: 27 August 2003

Published in: Journal of Mathematical Fluid Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00021-003-0073-7

zbMATH Keywords

uniquenesscritical Besov spaceslocal in time existenceLittlewood-Paley decompositionfinite-time blow-upelliptic estimates

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Maximal functions, Littlewood-Paley theory (42B25) Existence, uniqueness, and regularity theory for incompressible inviscid fluids (76B03)

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Blow-up criterion for the density dependent inviscid Boussinesq equations ⋮ Local existence and blow-up criterion of the ideal density-dependent flows ⋮ Nonexistence of self-similar singularities for the 3D incompressible Euler equations ⋮ Well-posedness for density-dependent Boussinesq equations without dissipation terms in Besov spaces ⋮ A regularity criterion for 3D ideal density-dependent MHD system ⋮ A blow-up criterion for the inhomogeneous incompressible Euler equations ⋮ A blow-up criterion of the ideal density-dependent flows ⋮ Local well-posedness and regularity criterion for the density dependent incompressible Euler equations ⋮ Regularity criteria of the density-dependent incompressible ideal Boussinesq and liquid crystals model ⋮ Global solutions for the critical Burgers equation in the Besov spaces and the large time behavior ⋮ A regularity criterion for 3D density-dependent MHD system with zero viscosity

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