Global well-posedness for the fractional Boussinesq–Coriolis system with stratification in a framework of Fourier–Besov type

Aurazo-Alvarez, Leithold L.; Ferreira, Lucas C. F.

doi:10.1007/s42985-021-00109-4

Cited by 6 publications

(1 citation statement)

References 33 publications

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“…In order to deal with the estimate (4.7), we follow the same reasoning and computations made in Lemma 4.2 and Lemma 4.3 from ( [4], 2021). Now we shall prove estimate (4.8): If we consider the term f = div(V ⊗ D ′ ) in Lemma 4.2, we get the estimate…”

Section: Resultsmentioning

confidence: 99%

A rescaled approach for the 3D-Boussinesq system in critical Fourier -Besov spaces

Aurazo-Alvarez

2022

Preprint

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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, which allow homogeneous functions with negative degree. The rescaled approach implies to rescale both the velocity, dividing by a positive parameter, and the temperature, dividing by the square of the same parameter, and study the obtained system. This rescaled approach permits to deal with the right hand linear term for the Boussinesq system, in order to apply a fixed point lemma, and to know a qualitative 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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Section: Resultsmentioning

confidence: 99%

A rescaled approach for the 3D-Boussinesq system in critical Fourier -Besov spaces

Aurazo-Alvarez

2022

Preprint

View full text Add to dashboard Cite

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Global existence for three-dimensional time-fractional Boussinesq-Coriolis equations

Sun,

Liu,

Yang

2024

Fract Calc Appl Anal

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A rescaled approach for the 3D-Boussinesq system in critical Fourier-Besov spaces

Aurazo-Alvarez

2024

Bol. Soc. Mat. Mex.

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Global well-posedness for the fractional Boussinesq–Coriolis system with stratification in a framework of Fourier–Besov type

Cited by 6 publications

References 33 publications

A rescaled approach for the 3D-Boussinesq system in critical Fourier -Besov spaces

A rescaled approach for the 3D-Boussinesq system in critical Fourier -Besov spaces

Global existence for three-dimensional time-fractional Boussinesq-Coriolis equations

A rescaled approach for the 3D-Boussinesq system in critical Fourier-Besov spaces

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