关键词: 趋化浅水波系统, 爆破准则, 真空, 强解

Abstract: We considered the initial (boundary) value problem for the two-dimensional  chemotaxis-shallow water  model with vacuum, and  established a new blow up criteria for the local strong solutions of the model by using the energy method and some important inequalities. We also gave  some new factors that  affected the extension of strong solutions.

Key words: chemotaxis-shallow water system, blow up criterion, vacuum, strong solution