A blow-up criterion for the inhomogeneous incompressible Euler equations

DOI10.1016/j.na.2020.111774zbMath1437.35553OpenAlexW3003348375MaRDI QIDQ1988392

Hantaek Bae, Jaeyong Shin, Woojae Lee

Publication date: 23 April 2020

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2020.111774

zbMATH Keywords

local well-posednessblow-up criterioninhomogeneous Euler equations

Mathematics Subject Classification ID

Existence problems for PDEs: global existence, local existence, non-existence (35A01) Blow-up in context of PDEs (35B44) Euler equations (35Q31)

Related Items (5)

Blow-up criterion for the density dependent inviscid Boussinesq equations ⋮ Fast rotation limit for the 2-D non-homogeneous incompressible Euler equations ⋮ Strong solutions to the inhomogeneous Navier-Stokes-BGK system ⋮ A blow-up criterion of the ideal density-dependent flows ⋮ Regularity criteria of the density-dependent incompressible ideal Boussinesq and liquid crystals model

Cites Work

• The well-posedness issue for the density-dependent Euler equations in endpoint Besov spaces
• On the well-posedness of the incompressible density-dependent Euler equations in the \(L^p\) framework
• Local well-posedness and regularity criterion for the density dependent incompressible Euler equations
• Remarks on the breakdown of smooth solutions for the 3-D Euler equations
• On the Euler equations for nonhomogeneous fluids. I
• On the Euler equations for nonhomogeneous fluids. II
• Local existence and blow-up criterion of the inhomogeneous Euler equations
• About the motion of nonhomogeneous ideal incompressible fluids
• Commutator estimates and the euler and navier-stokes equations
• Existence of cω solution of the euler equation for non-homogeneous fluids
• Conservation of Geometric Structures for Non-Homogeneous Inviscid Incompressible Fluids
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