Space-time decay rates of a nonconservative compressible two-phase flow model

This paper concerns the space-time decay rates of strong solution to a nonconservative compressible two-phase flow model in the whole space R-3. Based on the previous temporal decay results, it is shown that the space-time decay rate of k(0 <= k <= N)-order spatial derivative of the strong solution in weighted Lebesgue space L-gamma(2) is t-3/4-k/2+gamma for any integer N >= 2. The methods mainly involve delicate weighted energy estimates and interpolation tricks.