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arXiv · 2207.05884

Global well-posedness for a rescaled Boussinesq system in critical Fourier-Besov spaces

Leithold L. Aurazo-Alvarez
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Abstract

In this work we prove a global well-posedness result for a tridimensional rescaled Boussinesq system, with positive full viscosity and diffusivity parameters in the framework of critical Fourier-Besov spaces. This rescaled approach permits to know the behaviour of the system according to relations between both the parameters and the initial velocity and temperature; for instance, it is possible to consider, for small enough viscosity and large diffusivity, a large enough critical Fourier-Besov norm for the initial temperature and it is also possible to consider, for small enough diffusivity and large viscosity, a large enough critical Fourier-Besov norm for both the velocity and the temperature.

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Leithold L. Aurazo-Alvarez. 2022-07-12. Global well-posedness for a rescaled Boussinesq system in critical Fourier-Besov spaces. https://arxiv.org/abs/2207.05884

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