Title Stacionari Navjė-Stokso sistema su nehomogenine kraštine sąlyga srityse su nekompaktiškais kraštais /
Translation of Title Nonhomogeneous boundary value problem for the stationary Navier-Stokes system in domains with noncompact boundaries.
Authors Kaulakytė, Kristina
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Pages 20
Keywords [eng] Navier-Stokes system ; noncompact boundary ; nonhomogeneous boundary condition
Abstract [eng] In the thesis there is studied nonhomogenous boundary value problem for the stationary Navier-Stokes system in domains which may have two types of outlets to infinity: paraboloidal and layer type. The boundary is multiply connected. It consists of connected noncompact components, forming the outer boundary, and connected compact components, forming the inner boundary. We suppose that the fluxes over the components of the inner boundary are sufficiently small, while we do not impose any restrictions on fluxes over the infinite components of the outer boundary. We prove that the formulated problem admits at least one weak solution which, depending on the geometry of the domain, may have either finite or infinite Dirichlet integral.
Type Summaries of doctoral thesis
Language Lithuanian
Publication date 2013