Abstract
We are concerned with the Cauchy problem regarding the full compressible Navier-Stokes equations in ℝd (d = 2, 3). By exploiting the intrinsic structure of the equations and using harmonic analysis tools (especially the Littlewood-Paley theory), we prove the global solutions to this system with small initial data restricted in the Sobolev spaces. Moreover, the initial temperature may vanish at infinity.
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