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Remarks on the theory of Oldroyd-B fluids in exterior domains

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  • Consider the set of equations describing Oldroyd-B fluids with finite Weissenberg numbers in exterior domains. In this note, we describe the main ideas of the proofs of two recent results on global existence for this set of equations on exterior domains subject to Dirichlet boundary conditions. The methods described here are quite different from the techniques used in the Lagrangian approach which is often used in the case of infinite Weissenberg numbers.
    Mathematics Subject Classification: 35Q35, 76D03, 76D05.


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