“…Compared with [13,19], in theorems 1.1 and 1.2, we obtain the global wellposedness and the optimal time decay rates for multi-dimensional non-conservative viscous compressible two-uid system (1.1) in critical regularity framework respectively. Additionally, in theorem 1.2, the regularity index s can take both negative and nonnegative values, rather than only nonnegative integers, which improves the classical decay results in high Sobolev regularity, such as [13,19,45,46].…”