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Pré-Publication, Document De Travail Année : 2013

Mathematical analysis of the stationary Oldroyd model with diffusive stress

Résumé

We present the mathematical analysis of the stationary Oldroyd model with diffusive stress: existence and uniqueness of weak solutions is shown if the source terms are small enough or if the Reynolds and Weissenberg numbers are small enough. Besides, in the corotational model, this condition on the data can be relaxed for the existence result. Finally, strong solutions are obtained with additional regularity on the data.
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Dates et versions

hal-00905096 , version 1 (15-11-2013)
hal-00905096 , version 2 (08-03-2015)

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Laurent Chupin, Sébastien Martin. Mathematical analysis of the stationary Oldroyd model with diffusive stress. 2013. ⟨hal-00905096v1⟩
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