Continuous dependence and convergence for a Kelvin–Voigt fluid of order one

It is shown that the solution to the boundary - initial value problem for a Kelvin–Voigt fluid of order one depends continuously upon the Kelvin–Voigt parameters, the viscosity, and the viscoelastic coefficients. Convergence of a solution is also shown.

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Veröffentlicht in:Annali dell'Università di Ferrara. Sezione 7. Scienze matematiche 2022-05, Vol.68 (1), p.49-61
1. Verfasser: Straughan, Brian
Format: Artikel
Sprache:eng
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Zusammenfassung:It is shown that the solution to the boundary - initial value problem for a Kelvin–Voigt fluid of order one depends continuously upon the Kelvin–Voigt parameters, the viscosity, and the viscoelastic coefficients. Convergence of a solution is also shown.
ISSN:0430-3202
1827-1510
DOI:10.1007/s11565-021-00381-7