Journal
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY
Volume 149, Issue 3, Pages 1099-1110Publisher
AMER MATHEMATICAL SOC
DOI: 10.1090/proc/15305
Keywords
Quasi-geostrophic equation; anomalous diffusion; asymptotic profile; decay estimates; spatial decay
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Funding
- JSPS KAKENHI [19K14573, 19K03560]
- Grants-in-Aid for Scientific Research [19K14573, 19K03560] Funding Source: KAKEN
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This paper considers the initial value problem for the two dimensional dissipative quasi-geostrophic equation in the critical and supercritical cases, where anomalous diffusion leads to slow decay of solutions as the spatial parameter tends to infinity. Uniform estimates for far field asymptotics of solutions are provided in this study.
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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