Global solutions of 3D axisymmetric Boussinesq equations with nonzero swirl
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Publication:1683745
DOI10.1016/j.na.2017.10.008zbMath1379.35239OpenAlexW2767078267MaRDI QIDQ1683745
Ting Zhang, Daoyuan Fang, Wenjun Le
Publication date: 1 December 2017
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.2017.10.008
Smoothness and regularity of solutions to PDEs (35B65) PDEs in connection with fluid mechanics (35Q35) Navier-Stokes equations for incompressible viscous fluids (76D05) A priori estimates in context of PDEs (35B45) Existence, uniqueness, and regularity theory for incompressible inviscid fluids (76B03) Strong solutions to PDEs (35D35) Axially symmetric solutions to PDEs (35B07)
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Cites Work
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- Global well-posedness for 3D generalized Navier-Stokes-Boussinesq equations
- A logarithmically improved regularity criterion of smooth solutions for the 3D Boussinesq equations
- Blow-up criteria for Boussinesq system and MHD system and Landau-Lifshitz equations in a bounded domain
- On the global well-posedness for the Boussinesq system with horizontal dissipation
- On the global well-posedness of a class of Boussinesq-Navier-Stokes systems
- Global axisymmetric solutions of three dimensional inhomogeneous incompressible Navier-Stokes system with nonzero swirl
- Regularity of 3D axisymmetric Navier-Stokes equations
- Global well-posedness for the Euler-Boussinesq system with axisymmetric data
- Global well-posedness for the Navier-Stokes-Boussinesq system with axisymmetric data
- Global well-posedness for a Boussinesq-Navier-Stokes system with critical dissipation
- Global smooth axisymmetric solutions of 3-D inhomogeneous incompressible Navier-Stokes system
- Regularity criterion to the axially symmetric Navier-Stokes equations
- Global well-posedness for 2D Boussinesq system with general supercritical dissipation
- Existence and uniqueness results for the Boussinesq system with data in Lorentz spaces
- A note on regularity criterion for the 3D Boussinesq system with partial viscosity
- \(L^ 2\) decay for weak solutions of the Navier-Stokes equations
- Infinite Prandtl number convection
- Global well-posedness of the viscous Boussinesq equations
- On a maximum principle and its application to the logarithmically critical Boussinesq system
- Criticality of the axially symmetric Navier-Stokes equations
- Global well-posedness for axisymmetric Boussinesq system with horizontal viscosity
- Global regularity for the 2D Boussinesq equations with partial viscosity terms
- Vorticity and Incompressible Flow
- Axisymmetric flow of Navier-Stokes fluid in the whole space with non-zero angular velocity component
- Large time decay and growth for solutions of a viscous Boussinesq system
- Fourier Analysis and Nonlinear Partial Differential Equations
- Global Well-Posedness for Euler–Boussinesq System with Critical Dissipation
- Remarks on regularity criteria for axially symmetric weak solutions to the Navier-Stokes equations
- Characterization and Regularity for Axisymmetric Solenoidal Vector Fields with Application to Navier–Stokes Equation
- Global Axisymmetric Solutions to Three-Dimensional Navier–Stokes System
