Characteristic half space problem for the Broadwell model
Characteristic half space problem for the Broadwell model
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DOI：
10.3934/nhm.2014.9.97
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发表时间：
2014-04
期刊：
影响因子：
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通讯作者：
Linglong Du
中科院分区：
文献类型：
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作者：
Linglong Du
研究半空间中Broadwell模型的初边值问题。将初边值问题的绿色函数分解为两部分：一部分是初边值问题的绿色函数，我们称之为全空间的基本解;另一部分是这个基本解与全边界数据的卷积。本文提出了一种获取全边界数据的新方法。最后证明了平衡态的非线性时间渐近稳定性。
We study an initial boundary value problem for the Broadwell model in half space. The Green's function for the initial boundary value problem is decomposed into two parts: one is the Green's function for the initial value problem, we call it the fundamental solution for the whole space; the other is the convolution of this fundamental solution with full boundary data. A new approach to obtain the full boundary data is established here. Finally, a nonlinear time-asymptotic stability of an equilibrium state is proved.