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arXiv · 2105.08289

Large-Time Behaviour of Solutions to the Surface Quasi-Geostrophic Equations

Dáithí Ó hAodha·Tsukasa Iwabuchi
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Abstract

We construct a linear approximation of the solution to the Surface Quasi-Geostrophic Equation in $\mathbb{R}^2$, and obtain a convergence rate in $L^p$ between the solution and this approximation with respect to time. We also demonstrate that the nonlinear term of the solution is bounded sharply in $L^p$ by the same function of time.

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Dáithí Ó hAodha, Tsukasa Iwabuchi. 2021-05-18. Large-Time Behaviour of Solutions to the Surface Quasi-Geostrophic Equations. https://arxiv.org/abs/2105.08289

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