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A shear flow problem for the compressible Navier-Stokes equations. (English) Zbl 0894.76071
Summary: An issue of global unique solvability is studied for an initial-boundary value problem for the three-dimensional Navier-Stokes equations under the assumption that, given a Cartesian coordinate system \(x\), \(y\), and \(z\), solutions are independent of \(y\) and \(z\). The reduced system governs a shear flow between two moving parallel plates.

MSC:
76N10 Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics
35Q30 Navier-Stokes equations
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