This article studies the existence of global smooth solution for the Chaplygin gas equations with source terms in ${\mathbb{R}}^d$, $d\ge 1$. We establish the existence and uniqueness of global smooth solution provided the initial data is sufficiently small, which tells us that the damping terms can prevent the development of singularity in small amplitude.

中文翻译：

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带有源项的Chaplygin气体方程的整体光滑解 ${\mathbb{[R}}^d$

本文研究带有源项的Chaplygin气体方程整体光滑解的存在性。 ${\mathbb{[R}}^d$， $d\ge \mathrm{1个}$。如果初始数据足够小，我们就建立了全局光滑解的存在性和唯一性，这表明阻尼项可以防止小幅度奇异点的发展。