Abstract
In this paper, we prove that any weak solution to the non-stationary Stokes system in 3D with right hand side -div f satisfying (1.4) below, belongs to C( ]0, T[; C α (Ω)). The proof is based on Campanato-type inequalities and the existence of a local pressure introduced in Wolf [13].
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Proc. Conference “Variational analysis and PDE’s”. Intern. Centre “E. Majorana”, Erice, July 5–14, 2006.
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Naumann, J., Wolf, J. On the interior regularity of weak solutions to the non-stationary Stokes system. J Glob Optim 40, 277–288 (2008). https://doi.org/10.1007/s10898-007-9197-2
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DOI: https://doi.org/10.1007/s10898-007-9197-2