论文标题
2D稳定分层流体的渐近行为在速度方程中具有阻尼项
Asymptotic behavior of 2D stably stratified fluids with a damping term in the velocity equation
论文作者
论文摘要
本文与速度方程中具有阻尼项的二维无粘性Boussinesq方程的渐近行为有关。确切地说，我们为该系统提供了平滑解决方案的时间付费率。关键成分是对傅立叶空间中线性问题的绿色内核进行仔细的分析，并结合双线性估计和插值不平等，以处理非线性。
This article is concerned with the asymptotic behavior of the two-dimensional inviscid Boussinesq equations with a damping term in the velocity equation. Precisely, we provide the time-decay rates of the smooth solutions to that system. The key ingredient is a careful analysis of the Green kernel of the linearized problem in Fourier space, combined with bilinear estimates and interpolation inequalities for handling the nonlinearity.
