在一个半无穷柱体上的非标准Stokes流体方程的二择一问题

Phragmén-Lindelof Type Results for Non-Standard Stokes Flow Equations Around Semi-Infinite Cylinder

考虑了定义在半无限柱体上的非标准Stokes流体方程的初边值问题,其中在柱体的有限端施加非线性边界条件,在柱体的侧面上满足零边界条件.在初始条件中参数的适当范围内,利用微分不等式技术,得到了Stokes流体方程的二择一结果.在衰减的情况下,证明了"全能量"可以由已知数据项控制.

The initial-boundary value problem of non-standard Stokes fluid equations defined around semi-infinite cylinder was considered,in which the non-linear boundary condition was applied to the finite end of the cylinder and the zero boundary condition was satisfied on the side face of the cylinder.In the appropriate range of initial conditions,the differential inequality technique was used to obtain the Phragmén-Lindel?f results of Stokes fluid equations.In the case of decay,it is proved that‘total energy’can be controlled by known data items.