Decay rates for mild solutions of QGE with critical fractional dissipation in $L^2(\mathbb{R}^2)$

Jamel Benameur

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arXiv · 2308.07729

Decay rates for mild solutions of QGE with critical fractional dissipation in $L^2(\mathbb{R}^2)$

Jamel Benameur

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Abstract

In \cite{MRSC1} the authors proved some asymptotic results for the global solution of critical Quasi-geostrophic equation with a condition on the decay of $\widehat{\theta_0}$ near at zero. In this paper, we prove that this condition is not necessary. Fourier analysis and standard techniques are used.

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Jamel Benameur. 2023-08-15. Decay rates for mild solutions of QGE with critical fractional dissipation in $L^2(\mathbb{R}^2)$. https://arxiv.org/abs/2308.07729

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