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摘要
In this paper, we are concerned with the optimal decay rates of the solution to Cauchy problem on the system of linearized M-1 model in whole space R for any spatial dimension n >= 1. The time-decay rates of perturbed solutions and its derivatives in Lq space are obtained when initial data are around a constant equilibrium state. The proof is mainly based on both the energy method and the L-p-L-q estimates from the detailed analysis of the Green's function of the linearized system. The decay estimates thus obtained will play a key role in discussing the decay structure of nonlinear M-1 model in the future.
