A note on global regularity results for 2D Boussinesq equations with fractional dissipation

DOI10.4064/ap3784-10-2015zbMath1358.35138arXiv1506.08993OpenAlexW2964034231MaRDI QIDQ2833621

No author found.

Publication date: 18 November 2016

Published in: Annales Polonici Mathematici (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1506.08993

zbMATH Keywords

global regularity2D Boussinesq equationsfractional dissipation

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) PDEs in connection with fluid mechanics (35Q35) Fractional derivatives and integrals (26A33) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03)

Related Items (3)

Global regularity for the 2D Oldroyd-B model in the corotational case ⋮ Regularity criterion of the 2D Bénard equations with critical and supercritical dissipation ⋮ On the regularity criteria of the 2D Boussinesq equations with partial dissipation

Cites Work

• Unnamed Item
• Global well-posedness of the 2D Boussinesq equations with vertical dissipation
• On the global well-posedness of a class of Boussinesq-Navier-Stokes systems
• 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
• Global well-posedness for a class of 2D Boussinesq systems with fractional dissipation
• The 2D Boussinesq equations with vertical viscosity and vertical diffusivity
• Nonlinear maximum principles for dissipative linear nonlocal operators and applications
• Eventual regularity of the two-dimensional Boussinesq equations with supercritical dissipation
• On the inviscid Boussinesq system with rough initial data
• Small global solutions to the damped two-dimensional Boussinesq equations
• Generalized 2D Euler-Boussinesq equations with a singular velocity
• Global well-posedness for the 2D Boussinesq system with anisotropic viscosity and without heat diffusion
• Well-posedness and inviscid limits of the Boussinesq equations with fractional Laplacian dissipation
• GLOBAL EXISTENCE RESULTS FOR THE ANISOTROPIC BOUSSINESQ SYSTEM IN DIMENSION TWO
• Global Well-Posedness for Euler–Boussinesq System with Critical Dissipation
• Formation of strong fronts in the 2-D quasigeostrophic thermal active scalar
• 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: A note on global regularity results for 2D Boussinesq equations with fractional dissipation