通过引进变换,证明了如果初边值充分光滑并满足某一增长性条件,则在顺压的条件下,当幂律流体的指标n∈(1,1+√2)时,不可压缩膨胀流边界层方程组的变换问题存在唯一的整体弱解.
In the case that the pressure is favorable and 1 〈 n 〈 1 + √2, the author proves the global existence and uniqueness of weak solution to the reduced problem of the boundary layer system for viscous incompressible dilatable fluids under the assumption that the initial-boundary data satisfies some growth conditions.