The analysis is based on a priori estimates and L~2-energy method.
问题的分析基于先验估计和L~2能量方法。
参考来源 - 双曲椭圆耦合方程组的渐近行为For this, some new prior estimates are obtained to take care of the general viscosity coefficientμ(ρ) instead ofρ~θ.
为了克服一般的粘性系数μ(ρ)代替通常的ρ~θ给研究带来的困难，本文得到了一些新的先验估计。
参考来源 - 具有一般粘性系数和压力的可压缩Navier·2,447,543篇论文数据，部分数据来源于NoteExpress
根据预备知识，利用紧性定理和先验估计，证明了系统最优控制的存在性。
The existence of the optimal control for the system is demonstrated via compactness theorem and prior estimates.
其次在先验估计的基础上用能量方法得到了该模型非常数正解的不存在性；
Second, the non-existence of non-constant positive steady-states are given based on the priori estimates, in which energy method are used;
利用算子半群方法和先验估计，证明了该问题整体弱解和整体强解的存在唯一性。
By the methods of operator semigroup and apriori estimates, the existence and uniqueness of the global weak solution and the global strong solution for the system are obtained.
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