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Optimal decay
estimate of strong solutions for the 3D incompressible
Oldroyd-B model without damping
Renhui Wan |
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Vol. 301 (2019), No. 2, 667–701
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DOI: 10.2140/pjm.2019.301.667
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Abstract |
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We obtain the decay estimate of the global solution for the 3D incompressible Oldroyd-B model with only dissipation. The decay rate is optimal in the sense that this rate coincides with that of the linear system, which improves upon work by Zhu (J. Funct. Anal. 274:7 (2018) 2039–2060.) |
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Keywords
Oldroyd-B model, global small solution, integral
representation
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Mathematical Subject Classification 2010
Primary: 76A05, 76D03
Secondary: 42A38, 42B25
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Milestones
Received: 1 February 2018
Accepted: 14 January 2019
Published: 24 October 2019
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Authors |
| Renhui Wan | |
| Institute of Mathematics, School of
Mathematical Sciences Nanjing Normal University Nanjing China |
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