Abstract
In this paper, we study the Stokes problem in exterior domain of \({\mathbb{R}^{3}}\). We are interested in the existence and the uniqueness of very weak solutions. Here, we extend a result proved by Farwig et al. (J Math Soc Japan 59(1):127–150, 2007) and we prove the existence and the uniqueness of a second type of very weak solution.
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Amrouche, C., Meslameni, M. Very weak solutions for the Stokes problem in an exterior domain. Ann Univ Ferrara 59, 3–29 (2013). https://doi.org/10.1007/s11565-012-0166-4
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DOI: https://doi.org/10.1007/s11565-012-0166-4