关键词: 量子NavierStokes方程组, 一维, 爆破

Abstract: By estimating the weighed momentum, we proved that the solutions to the compressible quantum NavierStokes equations on a onedimensional bounded domain would blowup in a finite time when a weighed functional associated with the initial momentum was large enough. The result shows that the equations have not such globalintime solutions when the initial momentum is large enough.

Key words: blowup, onedimension, quantum NavierStokes equations