4 papers · 1 filter
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…
The Stokes paradox in inhomogeneous elastostatics
Adele Ferone, Remigio Russo, Alfonsina Tartaglione
We prove that the displacement problem of inhomogeneous elastostatics in a two--dimensional exterior Lipschitz domain has a unique solution with finite Dirichlet integral $\u$, van…
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 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…