论文标题
可压缩原始方程的零马赫数限制：不准备的初始数据
Zero Mach Number Limit of the Compressible Primitive Equations: Ill-prepared Initial Data
论文作者
论文摘要
在工作中，我们考虑域中可压缩原始方程的零马赫数限制$ \ mathbb {r}^2 \ times 2 \ mathbb {t} $或$ \ mathbb {t}^2 \ times 2 \ times 2 \ times 2 \ mathbb {t} $。我们将极限方程式确定为具有不可压缩条件的原始方程。在$ \ mathbb {r}^2 \ times 2 \ mathbb {t} $和$ \ mathbb {t}^2 \ times 2 \ times 2 \ mathbb {t} $中，都研究了收敛行为。本文考虑了高振荡的声波，是X. liu和E.S.先前作品的延伸。蒂蒂，拱门。理性的机甲。肛门，238，705-747，2020。
In the work, we consider the zero Mach number limit of compressible primitive equations in the domain $\mathbb{R}^2 \times 2\mathbb{T}$ or $\mathbb{T}^2 \times 2\mathbb{T}$. We identify the limit equations to be the primitive equations with the incompressible condition. The convergence behaviors are studied in both $\mathbb{R}^2 \times 2\mathbb{T}$ and $\mathbb{T}^2 \times 2\mathbb{T}$, respectively. This paper takes into account the high oscillating acoustic waves and is an extension of our previous work by X. Liu and E.S. Titi, Arch. Rational Mech. Anal., 238, 705-747, 2020.
