The Lifespan of a Class of Smooth Spherically Symmetric Solutions of the Compressible Euler Equations with Variable Entropy in Three Space Dimensions
The Lifespan of a Class of Smooth Spherically Symmetric Solutions of the Compressible Euler Equations with Variable Entropy in Three Space Dimensions
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DOI：
10.1007/s00205-005-0374-5
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发表时间：
2005-05
影响因子：
2.5
通讯作者：
P. Godin
中科院分区：
文献类型：
--
作者：
P. Godin
考虑变熵理想多变气体的光滑三维球对称欧拉流，其初始数据是通过在一个常值状态上加一个小的光滑扰动得到的.在一个自然的假设下，我们得到了精确的信息，当初始扰动的大小趋于0时，它们的寿命的渐近行为。这是通过构造和估计适当的近似流来实现的。
We consider smooth three-dimensional spherically symmetric Eulerian flows of ideal polytropic gases with variable entropy, whose initial data are obtained by adding a small smooth perturbation with compact support to a constant state. Under a natural assumption, we obtain precise information on the asymptotic behavior of their lifespan when the size of the initial perturbation tends to 0. This is achieved by the construction and estimate of a suitable approximate flow.