3 papers
math.AP2019
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…
math.AP2017
On the steady Navier--Stokes equations in 2D exterior domains
Mikhail V. Korobkov, Konstantinas Pileckas, Remigio Russo
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 in…
math-ph2013
Solution of Leray's problem for stationary Navier-Stokes equations in plane and axially symmetric spatial domains
Mikhail. V. Korobkov, Konstantin Pileckas, Remigio Russo
We study the nonhomogeneous boundary value problem for the Navier-Stokes equations of steady motion of a viscous incompressible fluid in arbitrary bounded multiply connected plane…