Large-time behaviour of solutions to the surface quasi-geostrophic equation

Large-time behaviour of solutions to the surface quasi-geostrophic equation
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地表准地转方程解的大时间行为

DOI:
10.1007/s42985-022-00197-w
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发表时间:
2022
期刊:
Partial Differential Equations and Applications
影响因子:
--
通讯作者:
Iwabuchi Tsukasa
Iwabuchi Tsukasa
中科院分区:
--
文献类型:
--
作者:
OhAodha Daith;Iwabuchi Tsukasa

文献摘要

相似文献

构造了二维欧几里得空间中曲面拟地转方程解的线性逼近,并在Lebesgue范数中得到了解与该逼近解关于时间的收敛速率。我们还证明了解的非线性项被相同的时间函数有明显的界。
We construct a linear approximation of the solution to the surface quasi-geostrophic equation in 2-dimensional Euclidean space, and obtain a convergence rate in the Lebesgue norm between the solution and this approximation with respect to time. We also demonstrate that the nonlinear term of the solution is bounded sharply by the same function of time.