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• W2051667919 abstract "This paper is dedicated to the global well-posedness issue of the incompressible Oldroyd-B model in the whole space ({mathbb{R}^d}) with ({d geqq 2}) . It is shown that this set of equations admits a unique global solution in a certain critical L p-type Besov space provided that the initial data, but not necessarily the coupling parameter, is small enough. As a consequence, even through the coupling effect between the equations of velocity u and the symmetric tensor of constrains τ is not small, one may construct the unique global solution to the Oldroyd-B model for a class of large highly oscillating initial velocity. The proof relies on the estimates of the linearized systems of (u, τ) and ({(u, mathbb{P}{rm div}tau)}) which may be of interest for future works. This result extends the work by Chemin and Masmoudi (SIAM J Math Anal 33:84–112, 2001) to the non-small coupling parameter case." @default.
• W2051667919 created "2016-06-24" @default.
• W2051667919 creator A5027944894 @default.
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• W2051667919 date "2014-04-04" @default.
• W2051667919 modified "2023-09-29" @default.
• W2051667919 title "Global Solution to the Incompressible Oldroyd-B Model in the Critical L p Framework: the Case of the Non-Small Coupling Parameter" @default.
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• W2051667919 doi "https://doi.org/10.1007/s00205-014-0732-2" @default.
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