2011
DOI: 10.1016/j.ijnonlinmec.2011.04.015
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Pressure-driven flow of a rate-type fluid with stress threshold in an infinite channel

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Cited by 8 publications
(3 citation statements)
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“…We recall from the previous section that the condition |ξ 1 t | < 1 is guaranteed if dt dφ 1 The latter is automatically satisfied, under assumption H3 , recalling that φ 1 ξ o . So, also for the first order we have local uniqueness and existence of the solution ξ 1 t φ 1 t t, where φ 1 t is obtained inverting 4.28 .…”
Section: 28mentioning
confidence: 92%
“…We recall from the previous section that the condition |ξ 1 t | < 1 is guaranteed if dt dφ 1 The latter is automatically satisfied, under assumption H3 , recalling that φ 1 ξ o . So, also for the first order we have local uniqueness and existence of the solution ξ 1 t φ 1 t t, where φ 1 t is obtained inverting 4.28 .…”
Section: 28mentioning
confidence: 92%
“…Another way to smooth the singularities arising from the classical viscoplastic models is to take into account possible deformations of the plug, a procedure first suggested by Oldroyd [19]. Regarding the latter approach, the authors have carried out in the last ten years a series of papers in which they have relaxed the hypothesis of a perfectly rigid unyielded region assuming that the plug may undergo elastic deformations [7], [8] [9], [10], [11], [12].…”
Section: Introductionmentioning
confidence: 99%
“…; see e.g. [5], [6], [7], [8], [9], [10], [11], [12], [13], [14], [15]) 616 L. FUSI, A. FARINA, AND F. ROSSO otherwise. We also refer the reader to [4], where interesting experimental investigations on these kinds of materials are reported.…”
Section: Introductionmentioning
confidence: 99%