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Optimal estimates for far field asymptotics of solutions to the quasi-geostrophic equation
Proceedings of the American Mathematical Society ( IF 0.8 ) Pub Date : 2021-01-13 , DOI: 10.1090/proc/15305 Masakazu Yamamoto , Yuusuke Sugiyama
Proceedings of the American Mathematical Society ( IF 0.8 ) Pub Date : 2021-01-13 , DOI: 10.1090/proc/15305 Masakazu Yamamoto , Yuusuke Sugiyama
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.
中文翻译：
拟地营养方程解的远场渐近最优估计
摘要：考虑了临界和超临界情况下的二维耗散准地转方程的初值问题。当空间参数趋于无穷大时，此方程的反常扩散会导致解的缓慢衰减。在本文中，给出了远场渐近解的统一估计。
更新日期：2021-02-08
中文翻译：
拟地营养方程解的远场渐近最优估计
摘要：考虑了临界和超临界情况下的二维耗散准地转方程的初值问题。当空间参数趋于无穷大时，此方程的反常扩散会导致解的缓慢衰减。在本文中，给出了远场渐近解的统一估计。
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