论文标题
超临界空间中麝香式方程的第二个迭代
The Second Iterate of the Muskat Equation in Supercritical Spaces
论文作者
论文摘要
研究了相对于缩放的超临界空间中Muskat问题的不良性。本文的主要结果表明，对于通过泰勒膨胀获得的一系列Muskat方程的近似值，它们相应的第二次Picard的迭代是在某个临界空间的特定原始家族中不连续的，接近关键空间。
The ill-posedness for the Muskat problem in spaces that are supercritical with respect to the scaling is studied. The main result of the paper establishes that for a sequence of approximations of the Muskat equation obtained via Taylor expansion, their corresponding second Picard's iterate is discontinuous around the origin in a certain family of supercritical spaces approaching a critical space.
