Geodesic
Some nonstationary linear and quasilinear systems occurring in the investigation of the motion of viscous fluids
Zapiski Nauchnykh Seminarov POMI, Boundary-value problems of mathematical physics and related problems of function theory. Part 9, Tome 59 (1976), pp. 133-177

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We prove existence theorems for the solutions of initial- and boundary-value problems for different linear and quasilinear systems of third-order equations which generalize the Navier–Stokes equations and which are model equations for the description of the flow of well-determined classes of non-Newtonian fluids possessing relaxational properties. We also prove existence theorems and stability theorems on an arbitrary finite time interval of the solutions of initial-and boundary-value (IBV) problems for the alternative model of the Korteweg–de Vries equation. 
@article{ZNSL_1976_59_a6,
     author = {A. P. Oskolkov},
     title = {Some nonstationary linear and quasilinear systems occurring in the investigation of the motion of viscous fluids},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {133--177},
     publisher = {mathdoc},
     volume = {59},
     year = {1976},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_1976_59_a6/}
}
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A. P. Oskolkov. Some nonstationary linear and quasilinear systems occurring in the investigation of the motion of viscous fluids. Zapiski Nauchnykh Seminarov POMI, Boundary-value problems of mathematical physics and related problems of function theory. Part 9, Tome 59 (1976), pp. 133-177. http://geodesic.mathdoc.fr/item/ZNSL_1976_59_a6/