A new approach for the regularity of weak solutions of the 3D Boussinesq system

2023/03/20 by Diego Chamorro, Chamorro, Diego, Claudiu Mîndrilă +1
Mathematics · #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #FOS: Mathematics #Navier-Stokes equation solutions #Nonlinear Partial Differential Equations

paper · pdf · doi:10.48550/arxiv.2303.10948

openalex publication_date 2023/03/20 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We address here the problem of regularity for weak solutions of the 3D Boussinesq equation. By introducing the new notion of partial suitable solutions, which imposes some conditions over the velocity field only, we show a local gain of regularity for the two variables u and θ.

Citations

• Global regularity for the 2D Boussinesq equations with partial viscosity terms

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