Global Strong Solutions of Navier–Stokes Equations for Heat-Conducting Compressible Fluids with Vacuum at Infinity

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Zhilei Liang
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[1] Southwestern University of Finance and Economics,School of Economic Mathematics
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We study the Cauchy problem for the equations describing a heat-conducting compressible fluid in three dimensional space with non-negative density. The global existence of unique strong solution is established, in case when the initial energy is assumed to be small. In addition, the decay rates for the solutions and their derivatives are derived.
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