On the global regularity of the 2D Boussinesq equations with fractional dissipation
From MaRDI portal
Publication:5275861
DOI10.1002/mana.201500413zbMath1372.35254OpenAlexW2536193518MaRDI QIDQ5275861
Xiaojing Xu, Zhuan Ye, Liutang Xue
Publication date: 14 July 2017
Published in: Mathematische Nachrichten (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1002/mana.201500413
Smoothness and regularity of solutions to PDEs (35B65) PDEs in connection with fluid mechanics (35Q35) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03) Fractional partial differential equations (35R11)
Related Items (3)
Global regularity results of the 2D Boussinesq equations with fractional Laplacian dissipation ⋮ Global well-posedness of the 2D Boussinesq equations with fractional Laplacian dissipation ⋮ The 2D inviscid Boussinesq equations with fractional diffusion in bounded domain
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- On the global well-posedness of a class of Boussinesq-Navier-Stokes systems
- The 2D Boussinesq equations with logarithmically supercritical velocities
- Remarks on global regularity of the 2D Boussinesq equations with fractional dissipation
- On the global well-posedness of a generalized 2D Boussinesq equations
- Global regularity results for the 2D Boussinesq equations with vertical dissipation
- Global well-posedness for a Boussinesq-Navier-Stokes system with critical dissipation
- Initial-boundary value problem for two-dimensional viscous Boussinesq equations
- Blow-up criterion of smooth solutions for the Boussinesq equations
- Global well-posedness for a class of 2D Boussinesq systems with fractional dissipation
- Global regularity results for the 2D Boussinesq equations with partial dissipation
- The 2D Boussinesq equations with vertical viscosity and vertical diffusivity
- Global regularity of solutions of 2D Boussinesq equations with fractional diffusion
- A maximum principle applied to quasi-geostrophic equations
- Nonlinear maximum principles for dissipative linear nonlocal operators and applications
- 2D inviscid heat conductive Boussinesq equations on a bounded domain
- Eventual regularity of the two-dimensional Boussinesq equations with supercritical dissipation
- Global smooth solutions to the \(n\)-dimensional damped models of incompressible fluid mechanics with small initial datum
- A new Bernstein's inequality and the 2D dissipative quasi-geostrophic equation
- Global regularity for the two-dimensional anisotropic Boussinesq equations with vertical dissipation
- Yudovich type solution for the 2D inviscid Boussinesq system with critical and supercritical dissipation
- Small global solutions to the damped two-dimensional Boussinesq equations
- Generalized 2D Euler-Boussinesq equations with a singular velocity
- 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
- Vorticity and Incompressible Flow
- Remarks on the lifespan of the solutions to some models of incompressible fluid mechanics
- Well-posedness and inviscid limits of the Boussinesq equations with fractional Laplacian dissipation
- GLOBAL EXISTENCE RESULTS FOR THE ANISOTROPIC BOUSSINESQ SYSTEM IN DIMENSION TWO
- Fourier Analysis and Nonlinear Partial Differential Equations
- Global Well-Posedness for Euler–Boussinesq System with Critical Dissipation
- Commutator estimates and the euler and navier-stokes equations
- Local existence and blow-up criterion of Hölder continuous solutions of the Boussinesq equations
- Local well-posedness and blow up criterion for the Inviscid Boussinesq system in H\"{o}lder spaces
- The Two-Dimensional Incompressible Boussinesq Equations with General Critical Dissipation
- Local well-posedness and blowup criterion of the Boussinesq equations in critical Besov spaces
- Global well-posedness of the 2D Boussinesq equations with fractional Laplacian dissipation
This page was built for publication: On the global regularity of the 2D Boussinesq equations with fractional dissipation