Vol. 301, No. 2, 2019

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Optimal decay estimate of strong solutions for the 3D incompressible Oldroyd-B model without damping

Renhui Wan

Vol. 301 (2019), No. 2, 667–701
DOI: 10.2140/pjm.2019.301.667
Abstract

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.)

Keywords
Oldroyd-B model, global small solution, integral representation
Mathematical Subject Classification 2010
Primary: 76A05, 76D03
Secondary: 42A38, 42B25