科研之友
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摘要
We consider the Stokes approximation equations for compressible flows in R-3. The global unique solution and optimal convergence rates are obtained by pure energy method provided the initial perturbation around a constant state is small. In particular, the optimal decay rates of the higher-order spatial derivatives of the solution are obtained. As an immediate byproduct, the usual L-P - L-2(1 <= p <= 2) type of the optimal decay rate follow without requiring that the LP norm of initial data is small.
