arXiv subjects

Konstantinas Pileckas

Publications and source records attributed to Konstantinas Pileckas.

2 recordsLinked to original sources

arXiv2018

On convergence of arbitrary D-solution of steady Navier--Stokes system in 2D exterior domains

We study solutions to stationary Navier Stokes system in two dimensional exterior domain. We prove that any such solution with finite Dirichlet integral converges at infinity uniformly. No additional condition (on symmetry or smallness) are assumed.

math.AP↗

arXiv2017

On the steady Navier--Stokes equations in 2D exterior domains

We study the boundary value problem for the stationary Navier--Stokes system in two dimensional exterior domain. We prove that any solution of this problem with finite Dirichlet integral is uniformly bounded. Also we prove the existence theorem under zero total flux assumption.

math.AP↗