Uniform pointwise asymptotics of solutions to quasi-geostrophic equation

Tomasz Jakubowski; Grzegorz Serafin

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arXiv · 1812.10856

Uniform pointwise asymptotics of solutions to quasi-geostrophic equation

Tomasz Jakubowski·Grzegorz Serafin

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Abstract

We provide two-sided pointwise estimates and uniform asymptotics of the solutions to the subcritical quasi-geostrophic equation with initial data in $L^{2/(\alpha-1)}(\mathbb{R}^2)$. Furthermore, we give upper bound of similar type for any derivative of the solutions. Initial data in $L^{p}(\mathbb{R}^2)$, $p>2/(\alpha-1)$, are also discussed.

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Tomasz Jakubowski, Grzegorz Serafin. 2018-12-28. Uniform pointwise asymptotics of solutions to quasi-geostrophic equation. https://arxiv.org/abs/1812.10856

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