论文标题
堕胎抛物线混合方程的家族的适应性良好
Well-posedness for a family of degenerate parabolic mixed equations
论文作者
论文摘要
这项工作的目的是展示一个抽象框架，以分析一个线性退化抛物线混合方程的家族。我们将退化抛物线方程的理论与经典的Babuska-Brezzi理论结合在一起，用于线性混合固定方程式，以推断出足够的条件以证明问题的适合性。最后，我们通过包括流体动力学模型和电磁问题的物理科学应用程序来说明抽象框架的应用。
The aim of this work is to show an abstract framework to analyze a family of linear degenerate parabolic mixed equations. We combine the theory for the degenerate parabolic equations with the classical Babuska-Brezzi theory for linear mixed stationary equations to deduce sufficient conditions to prove the well-posedness of the problem. Finally, we illustrate the application of the abstract framework through examples that come from physical science applications including fluid dynamics models and electromagnetic problems.
