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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…
math.MG2014★ 1 cited
Rigidity Conditions for the Boundaries of Submanifolds in a Riemannian Manifold
Anatoly P. Kopylov, Mikhail V. Korobkov
Developing A.D. Aleksandrov's ideas, the first-named author of this article proposed the following approach to study of rigidity problems for the boundary of a -submanifold in…