Solution formula for generalized two-phase Stokes equations and its applications to maximal regularity: Model problems
Solution formula for generalized two-phase Stokes equations and its applications to maximal regularity: Model problems
复制标题
广义两相斯托克斯方程的解公式及其在最大正则性中的应用：模型问题
作者：
Naoto Kajiwara
在本文中，我们给出了在整个平坦界面空间内有和没有表面张力和重力的两相斯托克斯方程的解公式。解决方案的公式已经被柴田和清水考虑过。然而，我们重建了公式，以便我们能够轻松证明解析和最大正则性估计。之前的工作需要对正常组件假设附加条件。在这里，虽然我们考虑了正态分量，但假设比以前更弱。该方法基于$H^infty$-演算，该演算已应用于半空间中具有各种边界条件的斯托克斯问题。
In this paper, we give a solution formula for the two-phase Stokes equations with and without surface tension and gravity over the whole space with a flat interface. The solution formula has already been considered by Shibata and Shimizu. However, we have reconstructed the formula so that we are able to easily prove resolvent and maximal regularity estimates. The previous work required the assumption of additional conditions on normal components. Here, although we consider normal components, the assumption is weaker than before. The method is based on an $ H^infty $-calculus which has already been applied for the Stokes problems with various boundary conditions in the half-space.
弱诺伊曼暗示斯托克斯
DOI：
10.1515/crelle.2011.150
发表时间：
2012
期刊：
影响因子：
--
作者：
M. Geissert;H. Heck;M. Hieber;O. Sawada
通讯作者：
O. Sawada
影响因子：
0.5
作者：
Farwig, Reinhard;Kozono, Hideo;Sohr, Hermann
通讯作者：
Sohr, Hermann
具有表面张力的两相纳维斯托克斯方程解的定性行为
影响因子：
1.4
作者：
M. Köhne;J. Prüss;M. Wilke
通讯作者：
M. Wilke