论文标题
在椭圆前铁电场模型的时间安排上
On the local in time well-posedness of an elliptic-parabolic ferroelectric phase-field model
论文作者
论文摘要
我们考虑了近年来工程区域引起的最先进的铁电相模型，该模型在数学上是作为耦合的椭圆形 - 旁皮差分系统的。我们基于最大抛物线规则理论利用固定点定理来显示铁电问题的时间良好。适当的结果将首先在某些一般假设下证明。然后，我们提供精确的几何和规律性条件，以保证实现假设。
We consider a state-of-the-art ferroelectric phase-field model arising from the engineering area in recent years, which is mathematically formulated as a coupled elliptic-parabolic differential system. We utilize a fixed point theorem based on the maximal parabolic regularity theory to show the local in time well-posedness of the ferroelectric problem. The well-posedness result will firstly be proved under certain general assumptions. We then give precise geometric and regularity conditions which will guarantee the fulfillment of the assumptions.
