Global solutions for the incompressible rotating stably stratified fluids
Global solutions for the incompressible rotating stably stratified fluids
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DOI：
10.1002/mana.201500385
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发表时间：
2017-03
影响因子：
1
通讯作者：
T. Iwabuchi;A. Mahalov;Ryo Takada
中科院分区：
文献类型：
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作者：
T. Iwabuchi;A. Mahalov;Ryo Takada
考虑旋转分层流体的三维不可压缩Boussinesq方程的初值问题。我们建立了与旋转层结和稳定层结相关的线性传播子的色散和Strichartz估计。作为应用，我们利用压缩映射原理给出了系统在时间上存在唯一整体解的简单证明。
We consider the initial value problem of the 3D incompressible Boussinesq equations for rotating stratified fluids. We establish the dispersive and the Strichartz estimates for the linear propagator associated with both the rotation and the stable stratification. As an application, we give a simple proof of a unique existence of global in time solutions to our system using just a contraction mapping principle.