OALib Journal期刊
一维等温量子Navier-Stokes方程组的热平衡状态
, PP. 599-602
Keywords: 量子Navier-Stokes方程组 ,热平衡 ,存在性 ,唯一性
Abstract:
研究发生在半导体器件中的一种耗散的量子流体动力学模型，即一维等温量子Navier-Stokes方程组.在热平衡状态下，先利用指数变换法将问题转化成一个四阶椭圆方程，然后利用Leray-Schauder不动点定理得到了模型古典解的存在性，最后在某些条件下证明了解的唯一性.
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