Abstract

In this paper, we are concerned with the global existence and convergence rates of strong solutions for the compressible Navier-Stokes equations without heat conductivity in R3. The global existence and uniqueness of strong solutions are established by the delicate energy method under the condition that the initial data are close to the constant equilibrium state in H2-framework. Furthermore, if additionally the initial data belong to L1, the optimal convergence rates of the solutions in L2-norm and convergence rates of their spatial derivatives in L2-norm are obtained.

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