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EnglishAbstract. In the paper [13], we give the full system of equations modelling the motion of fuid/viscoelastic solid system, and obtain a differential model like the so-called Oldroyd model for a viscoelastic-fluid. Moreover, existence results in bounded domains are obtained. In this paper we extend the results in [13] to unbounded domains. The unique solvability of the system of equations is established locally in time and globally in time with so-called smallness restrictions. Moreover, existence of a weak solution is treated.
| Titolo: | Existence and uniqueness results for non-newtonian fluids of the Oldroyd type in unbounded domains |
| Autori: | |
| Data di pubblicazione: | 2005 |
| Abstract: | Abstract. In the paper [13], we give the full system of equations modelling the motion of fuid/viscoelastic solid system, and obtain a differential model like the so-called Oldroyd model for a viscoelastic-fluid. Moreover, existence results in bounded domains are obtained. In this paper we extend the results in [13] to unbounded domains. The unique solvability of the system of equations is established locally in time and globally in time with so-called smallness restrictions. Moreover, existence of a weak solution is treated. |
| Handle: | http://hdl.handle.net/11311/500807 |
| Appare nelle tipologie: | 04.1 Contributo in Atti di convegno |
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| salvi1A.pdf | Altro | Accesso riservato | Accesso riservato | |
| salvi1.pdf | Altro | Accesso riservato | Accesso riservato |
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