关于确定自由边值问题系数k的一类反问题

An Inverse Problem for the Determination of the Coefficient k of a Free Boundary Problem

讨论了由非牛顿流体流动引起的一类自由边值问题的一个反问题.通过变量和函数变换,作逼近函数和估计等方法,证明了对给定的初边值和石油产量,此反问题存在弱解.

An inverse problem of a free boundary problem which arised from the flow of non-Newtonian fluids is studied. By construeting approximate functions and using prior estimate and conversion of variable, it is proved that the inverse problem has weak solution for given initial value, boundary value and the oil output.