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arXiv · 1904.12126

Optimal estimates for far field asymptotics of solutions to the quasi-geostrophic equation

Masakazu Yamamoto·Yuusuke Sugiyama
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Abstract

The initial value problem for the two dimensional dissipative quasi-geostrophic equation of the critical and the supercritical cases is considered. Anomalous diffusion on this equation provides slow decay of solutions as the spatial parameter tends to infinity. In this paper, uniform estimates for far field asymptotics of solutions are given.

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Masakazu Yamamoto, Yuusuke Sugiyama. 2019-04-27. Optimal estimates for far field asymptotics of solutions to the quasi-geostrophic equation. https://doi.org/10.1090/proc%2F15305

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