Geodesic
Solvability of initial-boundary value problem for the equations of motion of a viscous compressible baratropic fluid in the spaces $W_2^{2+l,1+l/2}(Q_T)$
Zapiski Nauchnykh Seminarov POMI, Boundary-value problems of mathematical physics and related problems of function theory. Part 24, Tome 200 (1992), pp. 177-186

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There is presented a new method of estimates of solutions of the Navier–Stokes equations for a viscous compressible barotropic fluid in a bounded domain $\Omega\subset\mathbb{R}^3$ which makes it possible to investigate the problem in a complete scale of anisotropic spaces $W_2^{2+l,1+l/2}(Q_T)$, $Q_T=\Omega\times(0,T)$ with arbitrary $l>1/2$. 
@article{ZNSL_1992_200_a17,
     author = {V. A. Solonnikov},
     title = {Solvability of initial-boundary value problem for the equations of motion of a viscous compressible baratropic fluid in the spaces $W_2^{2+l,1+l/2}(Q_T)$},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {177--186},
     publisher = {mathdoc},
     volume = {200},
     year = {1992},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_1992_200_a17/}
}
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V. A. Solonnikov. Solvability of initial-boundary value problem for the equations of motion of a viscous compressible baratropic fluid in the spaces $W_2^{2+l,1+l/2}(Q_T)$. Zapiski Nauchnykh Seminarov POMI, Boundary-value problems of mathematical physics and related problems of function theory. Part 24, Tome 200 (1992), pp. 177-186. http://geodesic.mathdoc.fr/item/ZNSL_1992_200_a17/