An alternative approach to global regularity for the 2D Euler-Boussinesq equations with critical dissipation

DOI10.1016/j.na.2019.111591zbMath1431.35142OpenAlexW2968591341MaRDI QIDQ2280371

Yanyan Li

Publication date: 18 December 2019

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.2019.111591

zbMATH Keywords

Boussinesq equationsglobal regularity

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 viscous fluids (76D03) Fractional partial differential equations (35R11)

Related Items (3)

Global well-posedness for the 2D Euler-Boussinesq-Bénard equations with critical dissipation ⋮ Global well-posedness for a model of 2D temperature-dependent Boussinesq equations without diffusivity ⋮ Global existence and exponential decay of strong solutions for the three-dimensional Boussinesq equations

Cites Work

• Unnamed Item
• On the differentiability issue of the drift-diffusion equation with nonlocal Lévy-type diffusion
• 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
• A note on limiting cases of sobolev embeddings and convolution inequalities
• On the differentiability of the solution to an equation with drift and fractional diffusion

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