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Leray's plane steady state solutions are nontrivial
Mikhail Korobkov, Konstantin Pileckas, Remigio Russo
We study solutions to the obstacle problem for the stationary Navier--Stokes system in a~two dimensional exterior domain (flow past a prescribed body). We prove that the classical…
On convergence of arbitrary D-solution of steady Navier--Stokes system in 2D exterior domains
Mikhail Korobkov, Konstantinas Pileckas, Remigio Russo
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 unifo…
On Nonhomogeneous Boundary Value Problems for the Stationary Navier--Stokes Equations in 2D Symmetric Semi-Infinite Outlets
M. Chipot, K. Kaulakyt, K. Pileckas +1
We study the stationary nonhomogeneous Navier--Stokes problem in a two dimensional symmetric domain with a semi-infinite outlet (for instance, either parabo-\\loidal or channel-lik…