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arxiv: 0803.1218 · v1 · submitted 2008-03-10 · 🧮 math-ph · math.MP

On nonhomogeneous slip boundary conditions for 2D incompressible exterior fluid flows

classification 🧮 math-ph math.MP
keywords boundaryconditionsexistenceexteriornonhomogeneousslipsolutionsarbitrary
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The paper examines the issue of existence of solutions to the steady Navier-Stokes equations in an exterior domain in $\mathbb{R}^2$. The system is studied with nonhomogeneous slip boundary conditions. The main results proves the existence of weak solutions for arbitrary data.

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