论文标题
关于具有密度分层的粘性原始方程的严格数学推导
On the rigorous mathematical derivation for the viscous primitive equations with density stratification
论文作者
论文摘要
在本文中，我们从数学的角度严格地得出了描述稳定分层流体运动的管制方程。特别是，我们证明缩放的boussinesq方程将随着位置评估参数的零分层强烈收敛到具有密度分层的粘性原始方程，并且收敛速率与纵横比参数的顺序相同。此外，为了获得这种收敛结果，我们还建立了具有密度分层的粘性原始方程的强溶液的全球良好性。
In this paper, we rigorously derive the governed equations describing the motion of stable stratified fluid, from the mathematical point of view. Specially, we prove that the scaled Boussinesq equations strongly converge to the viscous primitive equations with density stratification as the aspect ration parameter goes to zero, and the rate of convergence is of the same order as the aspect ratio parameter. Moreover, in order to obtain this convergence result, we also establish the global well-posedness of strong solutions to the viscous primitive equations with density stratification.
