Spatial behaviour of solutions in the plane Stokes flow |
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Affiliation: | a Faculty of Mathematics, University of Ia?i, 6600 Ia?i, Romania b Dipartimento di Ingegneria dell'Informazione e Matematica Applicata, University of Salerno, 84100 Salerno, Italy |
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Abstract: | Some new methods are described in the study of the spatial behaviour of solutions in the slow flow of an incompressible viscous fluid along a semi-infinite strip subject to zero velocity on the lateral sides, a prescribed time-dependent specified velocity on the end and zero initial conditions. These methods provide an improved estimated decay rate over those previously predicted on the subject. |
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Keywords: | Plane Stokes flow Time-weighted measure Decay and growth estimates |
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