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Decay estimates of solutions for the equations of motion of compressible viscous and heat-conductive gases in an exterior domain in $$\mathbb{R}^3$$. (English) Zbl 0921.35092
Summary: We consider the equations of motion of compressible viscous and heat-conductive gases in an exterior domain in $$\mathbb{R}^3$$. We give the $$L_q-L_p$$ estimates for solutions to the linearized equations and show an optimal decay estimate for solutions to the nonlinear problem.

##### MSC:
 35L50 Initial-boundary value problems for first-order hyperbolic systems 35B40 Asymptotic behavior of solutions to PDEs 35L60 First-order nonlinear hyperbolic equations 35R35 Free boundary problems for PDEs 76N15 Gas dynamics, general
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