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math.AP2014★ 35 cited
Forward Self-Similar Solutions of the Navier-Stokes Equations in the Half Space
Mikhail Korobkov, Tai-Peng Tsai
For the incompressible Navier-Stokes equations in the 3D half space, we show the existence of forward self-similar solutions for arbitrarily large self-similar initial data.
math.AP2014
The existence theorem for the steady Navier--Stokes problem in exterior axially symmetric 3D domains
Mikhail 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 a three--dimensional exterior domain with…