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Viscous flow due to a shrinking sheet. (English) Zbl 1169.76018
The authors study the properties of a viscous flow due to a shrinking sheet with suction. Such a flow occurs when the fluid condenses on the surface, as in chemical vapor deposition [see, e.g., K. F. Jensen, E. O. Einset and D. I. Fotiadis, Ann. Rev. Fluid Mech. 23, 197–232 (1991)]. The existence of exact solutions is proved and some discussion about the (non)uniqueness of the exact solution is given. Exact solutions, both numerical and in closed form, are found.

MSC:
76D03 Existence, uniqueness, and regularity theory for incompressible viscous fluids
35Q30 Navier-Stokes equations
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