Quarterly of Applied Mathematics

Quarterly of Applied Mathematics

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Adiabatic shearing flow caused by time dependent inertial force


Author: Nicolas Charalambakis
Journal: Quart. Appl. Math. 42 (1984), 275-280
MSC: Primary 76E99; Secondary 35B40
DOI: https://doi.org/10.1090/qam/757165
MathSciNet review: 757165
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Abstract: We consider the shearing adiabatic flow of an incompressible Neutonian fluid with temperature dependent viscosity caused by a time dependent ``oscillatory'' body force. We show that, as $ t \to \infty $, the flow converges with exponential rate to a rigid ``oscillatory'' motion at fixed temperature.


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DOI: https://doi.org/10.1090/qam/757165
Article copyright: © Copyright 1984 American Mathematical Society


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