In this paper, we prove the existence of general Cartesian vector solutions u=b(t)+A(t)x for the N-dimensional compressible Navier-Stokes equations with density-dependent viscosity, based on the matrix and curve integration theory. Two exact solutions are obtained by solving the reduced systems.
Engui Fan et al 2022 Commun. Theor. Phys. in press https://doi.org/10.1088/1572-9494/ac82ac
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Communications in Theoretical Physics