论文标题
全球适应性和针对Prandtl系统的薄弱解决方案的规律性
Global Well-posedness and Regularity of Weak Solutions to the Prandtl's System
论文作者
论文摘要
我们继续研究Oleinik所考虑的类别中的二维PrandTL系统的全局prandtl系统，前提是压力是有利的。首先，通过使用[13]的不同方法，我们通过直接的BV估计给出了全球弱解决方案存在的直接证明。然后，我们证明了对初始有限价值问题的这种薄弱解决方案的数据的独特性和持续依赖性。最后，我们显示了弱解决方案的平滑度，然后显示了平滑解决方案的全球存在。
We continue our study on the global solution to the two-dimensional Prandtl's system for unsteady boundary layers in the class considered by Oleinik provided that the pressure is favorable. First, by using a different method from [13], we gave a direct proof of existence of a global weak solution by a direct BV estimate. Then we prove the uniqueness and continuous dependence on data of such a weak solution to the initial-boundary value problem. Finally, we show the smoothness of the weak solutions and then the global existence of smooth solutions.
