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Consider the flow of a compressible Newtonian fluid around/past a rotating obstacle in $\mathbb R^3$. After a coordinate transform to get a problem in a time-independent domain we assume the new system to be stationary, then linearize and use Fourier transform to find an explicit solution and estimates in $L^q$-spaces. However, in contrast to the incompressible case with multipliers based on the heat kernel the new multiplier functions are of a very different type... |
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