35 citations · 98 across the 20 of their papers we have counts for
25 papers
Sharp Basic Velocity Estimates for the Plane Steady Navier--Stokes Equations through Vorticity
Mikhail Korobkov, Zhixiang Zhuang
We consider some new velocity estimates for general steady Navier-Stokes solutions in plane domains. Namely, we obtain some optimal estimates of the difference between mean values…
On flows generated by square-integrable vector fields
Nikolay A. Gusev, Mikhail V. Korobkov, Evgeny Yu. Panov +1
For square-integrable divergence-free vector field on we prove that the following properties are equivalent: 1) the operator $A_0 ρ= \boldsymbol{v}…
The steady Navier-Stokes equations in a system of unbounded channels with sources and sinks
Filippo Gazzola, Mikhail V. Korobkov, Xiao Ren +1
The steady motion of a viscous incompressible fluid in a junction of unbounded channels with sources and sinks is modeled through the Navier-Stokes equations under inhomogeneous Di…
The Nelson conjecture and chain rule property
Nikolay A. Gusev, Mikhail V. Korobkov
Let and let be a compactly supported vector field with and $\operatorname{div} \b…
On basic velocity estimates for the plane steady-state Navier-Stokes system and its applications
Mikhail Korobkov, Xiao Ren
We consider some new estimates for general steady Navier-Stokes solutions in plane domains. According to our main result, if the domain is convex, then the difference between mean…
Distortion of Hausdorff measures under Orlicz--Sobolev maps
Andrea Cianchi, Mikhail V. Korobkov, Jan Kristensen
A comprehensive theory of the effect of Orlicz-Sobolev maps, between Euclidean spaces, on subsets with zero or finite Hausdorff measure is offered. Arbitrary Orlicz-Sobolev spaces…