Global well-posedness for the 3DNewton-Boussinesq equations

Wu Lili

Received N/A; revised N/A; accepted N/A

This work is licensed under Creative Commons Attribution–NonCommercial International License (CC BY-NC 4.0).

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.

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Global well-posedness for the 3DNewton-Boussinesq equations

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