Global well-posedness for the 3DNewton-Boussinesq equations

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Submitted: 2024-12-18; Published: 2024-12-18

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Abstract

In this paper, we prove the global well-posedness forthe Newton-Boussinesq equations inR3. By fully using the Fou-rier localization technique, we obtain the existence and unique-ness of smooth solutions in Hilbert spaces.