5 papers · 1 filter
Leray's plane stationary solutions at small Reynolds numbers
Mikhail V. Korobkov, Xiao Ren
In the celebrated paper by Jean Leray, published in JMPA journal in 1933, the invading domains method was proposed to construct D-solutions for the stationary Navier-Stokes flow ar…
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…
Morse--Sard theorem and Luzin -property: a new synthesis result for Sobolev spaces
A. Ferone, M. V. Korobkov, A. Roviello
For a regular (in a sense) mapping we study the following problem: {\sl let be a subset of -critical a set $\tilde Z_{v,m}=\{{\rm rank} \na…
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…