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Initial boundary value problems for the equations of motion of compressible viscous and heat-conductive fluids. (English) Zbl 0543.76099
Summary: The equations of motion of compressible viscous and heat-conductive fluids are investigated for initial boundary value problems on the half space and on the exterior domain of any bounded region. The global solution in time is proved to exist uniquely and approach the stationary state as \(t\to \infty\), provided the prescribed initial data and the external force are sufficiently small.

MSC:
76N10 Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics
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