### On Nonhomogeneous Boundary Value Problem for the Steady Navier-Stokes System in Domain with Paraboloidal and Layer Type Outlets to Infinity

DOI: http://dx.doi.org/10.12775/TMNA.2015.070

#### Abstract

outlets to infinity. The boundary

$\partial\Omega$ is multiply connected and consists of

the outer boundary $S$ and the inner boundary $\Gamma$. The boundary value ${a}$ is assumed to have a compact support. The flux of ${a}$ over the inner boundary $\Gamma$

is supposed to be sufficiently small. We do not impose any restrictions on fluxes

of ${a}$ over the unbounded components of the outer boundary $S$. The

existence of at least one weak solution is proved.

#### Keywords

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