Long time solutions for the 2D inviscid Boussinesq equations with strong stratification
Long time solutions for the 2D inviscid Boussinesq equations with strong stratification
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DOI：
10.1007/s00229-019-01174-1
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发表时间：
2019-12
影响因子：
0.6
通讯作者：
Ryo Takada
中科院分区：
文献类型：
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作者：
Ryo Takada
本文研究二维稳定分层流体无粘Boussinesq方程的初值问题。当浮力频率足够高时，我们证明了方程古典解的长时间存在性。此外，我们考虑了强分层的奇异极限，并证明了长时间解的渐近轮廓由相应的线性色散解给出。
We consider the initial value problem of the 2D inviscid Boussinesq equations for stably stratified fluids. We prove the long time existence of classical solutions for large initial data inwithwhen the buoyancy frequency is sufficiently high. Furthermore, we consider the singular limit of the strong stratification, and show that the asymptotic profile of the long time solution is given by the corresponding linear dispersive solution.