Regularity criteria of the density-dependent incompressible ideal Boussinesq and liquid crystals model

DOI10.1007/s10440-021-00408-3zbMath1475.35272OpenAlexW3158613566MaRDI QIDQ2043327

Jishan Fan, Zujin Zhang

Publication date: 30 July 2021

Published in: Acta Applicandae Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10440-021-00408-3

zbMATH Keywords

liquid crystalsblow-up criterionincompressibleBoussinesq

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) PDEs in connection with fluid mechanics (35Q35) Liquid crystals (76A15) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03) Blow-up in context of PDEs (35B44)

Cites Work

• Unnamed Item
• 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
• On the Euler equations for nonhomogeneous fluids. II
• Local existence and blow-up criterion of the inhomogeneous Euler equations
• A blow-up criterion for the inhomogeneous incompressible Euler equations
• Logarithmically improved regularity criterion for the Boussinesq equations in Besov spaces with negative indices
• On the regularity criteria for the 3D magnetohydrodynamic equations via two components in terms of BMO space
• A new regularity criterion for the nematic liquid crystal flows
• 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
• Nonparabolic dissipative systems modeling the flow of liquid crystals
• 带密度的不可压Euler 方程在临界Besov 空间中的适定性