BKM-type blow-up criterion of the inviscid axially symmetric Boussinesq system involving a single component of velocity

DOI10.1007/s00033-022-01909-3zbMath1503.35173OpenAlexW4311212980MaRDI QIDQ2105250

Zijin Li, Xinghong Pan

Publication date: 8 December 2022

Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00033-022-01909-3

zbMATH Keywords

regularity criterioninviscid Boussinesq systemaxially symmetricone component

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) PDEs in connection with fluid mechanics (35Q35) Existence, uniqueness, and regularity theory for incompressible inviscid fluids (76B03) Blow-up in context of PDEs (35B44)

Related Items (2)

A refined long time asymptotic bound for 3D axially symmetric Boussinesq system with zero thermal diffusivity ⋮ On the large data global well-posedness of inviscid axially symmetric MHD-Boussinesq system

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• On the global well-posedness for the Boussinesq system with horizontal dissipation
• Regularity of 3D axisymmetric Navier-Stokes equations
• Global well-posedness for the Euler-Boussinesq system with axisymmetric data
• On the global regularity of axisymmetric Navier-Stokes-Boussinesq system
• Global well-posedness for the Navier-Stokes-Boussinesq system with axisymmetric data
• On the global well-posedness for Boussinesq system
• Regularity criterion of axisymmetric weak solutions to the 3D Navier-Stokes equations
• Mathematical theory of incompressible nonviscous fluids
• Necessary and sufficient conditions for nonlinear stability in the magnetic Bénard problem
• On the regularity of the axisymmetric solutions of the Navier-Stokes equations
• Global well-posedness of the viscous Boussinesq equations
• On axially symmetric incompressible magnetohydrodynamics in three dimensions
• Global regularity for the two-dimensional anisotropic Boussinesq equations with vertical dissipation
• Global regularity for the 2D Boussinesq equations with partial viscosity terms
• Global well-posedness for the 2D Boussinesq system with anisotropic viscosity and without heat diffusion
• On the global well-posedness of the Boussinesq system with zero viscosity
• Commutator estimates and the euler and navier-stokes equations
• Limiting case of the Sobolev inequality in BMO, with application to the Euler equations

This page was built for publication: BKM-type blow-up criterion of the inviscid axially symmetric Boussinesq system involving a single component of velocity