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Existence and Uniqueness of Very Weak Solutions to the Steady-State Navier–Stokes Problem in Lipschitz Domains

By Vincenzo Coscia

Abstract

We prove that in a bounded Lipschitz domain of $R^3$ the steady-state Navier–Stokes equations with boundary data\ud in $L^2(\partial\Omega)$ have a very weak solution $u\in L^3(\Omega)$, unique for large viscosity

Topics: Stationary Navier-Stokes equations, Bounded Lipschitz domains, Boundary-value problem.
Year: 2017
DOI identifier: 10.1007/s00021-016-0307-0
OAI identifier: oai:iris.unife.it:11392/2359723
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