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

Nonlinearity（2023）

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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 $\theta$.

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Key words

3d boussinesq,weak solutions,regularity

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