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Stability and periodicity of solutions to the Oldroyd-B model on exterior domains
Hieber, Matthias
Nguyen, Thieu Huy
2020
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e-ISSN
2464-8728
Abstract
Consider the Oldroyd-B system on exterior domains with nonzero external forces f. It is shown that this system admits under smallness assumptions on f a bounded, global solution (u; τ), which is stable in the sense that any other global solution to this system starting in a sufficiently small neighborhood of (u(0); τ (0)) is tending to (u; τ). In addition, if the outer force is T-periodic and small enough, the Oldroyd-B system admits a T-periodic solution. Note that no smallness condition on the coupling coefficient is assumed.
Publisher
EUT Edizioni Università di Trieste
Source
Matthias Hieber, Thieu Huy Nguyen, "Stability and periodicity of solutions to the Oldroyd-B model on exterior domains" in: "Rendiconti dell’Istituto di matematica dell’Università di Trieste: an International Journal of Mathematics vol. 52 (2020)", EUT Edizioni Università di Trieste, Trieste, 2020
Languages
en
Rights
Attribution-NonCommercial-NoDerivatives 4.0 Internazionale
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