We consider the Navier-Stokes initial boundary value problem in 3D-exterior domains with non-decaying initial data. We investigate the existence of weak solutions defined for all t > 0 for large non-decaying initial data. To achieve the result, we extend the half-space technique developed by Maremonti and Shimizu (2018) [26] to the case of an exterior domain.
Global existence of weak solutions to 3D Navier-Stokes IBVP with non-decaying initial data in exterior domains
Paolo Maremonti;
2020
Abstract
We consider the Navier-Stokes initial boundary value problem in 3D-exterior domains with non-decaying initial data. We investigate the existence of weak solutions defined for all t > 0 for large non-decaying initial data. To achieve the result, we extend the half-space technique developed by Maremonti and Shimizu (2018) [26] to the case of an exterior domain.File in questo prodotto:
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