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arXiv · 1807.06793

Spatial-decay of solutions to the quasi-geostrophic equation with the critical and the super-critical dissipation

Masakazu Yamamoto·Yuusuke Sugiyama
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Abstract

The initial value problem for the two dimensional dissipative quasi-geostrophic equation derived from geophisical fluid dynamics is studied. The dissipation of this equation is given by the fractional Laplacian. It is known that the half Laplacian is a critical dissipation for the quasi-geostrophic equation. In this paper, far field asymptotics of solutions are given in the critical and the supercritical cases.

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Masakazu Yamamoto, Yuusuke Sugiyama. 2018-07-18. Spatial-decay of solutions to the quasi-geostrophic equation with the critical and the super-critical dissipation. https://doi.org/10.1088/1361-6544%2Fab0e5a

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