The initial value problem for the compressible Navier-Stokes equations without heat conductivity

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 R-3. 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 H-2-framework. Furthermore, if additionally the initial data belong to L-1, the optimal convergence rates of the solutions in L-2-norm and convergence rates of their spatial derivatives in L-2-norm are obtained. (C) 2019 Elsevier Inc. All rights reserved.