Abstract
We prove the existence of a strong corrector for the linearized incompressible Navier-Stokes solution on a domain with characteristic boundary. This case is different from the nonchaxacteristic case considered in [7] and somehow physically more relevant. More precisely, we show that the linearized Navier-Stokes solutions behave like the Euler solutions except in a thin region, close to the boundary, where a certain heat equation solution is added (the corrector). Here, the Navier-Stokes equations are considered in an infinite channel of R-3 but our results still hold for more general bounded domains.