Uniform regularity for the Navier-Stokes equation with Navier boundary condition - Mathematics > Analysis of PDEsReport as inadecuate




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Abstract: We prove that there exists an interval of time which is uniform in thevanishing viscosity limit and for which the Navier-Stokes equation with Navierboundary condition has a strong solution. This solution is uniformly bounded ina conormal Sobolev space and has only one normal derivative bounded in$L^\infty$. This allows to get the vanishing viscosity limit to theincompressible Euler system from a strong compactness argument.



Author: Nader Masmoudi, Frederic Rousset

Source: https://arxiv.org/







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