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Sharp decay characterization for the Oldroyd-B system with only velocity dissipation

Chen, Zhi et al.
arXiv (All) · Papers
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analysis-of-pdes
We study the incompressible Oldroyd-B system on $\mathbb R^d$, $d\ge2$, in the regime in which the velocity is the only dissipated quantity: the stress tensor undergoes neither relaxation nor diffusion. In this regime the operator $\mathbb P\operatorname{div}$ acting on symmetric stresses has an inf
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