14 citations · 16 across the 4 of their papers we have counts for
7 papers
Global branches of Stokes waves of variable period on stratified fluids
Vladimir Kozlov
We consider stratified steady water waves in a two dimensional channel. Our subject is branches of Stokes waves, bifurcating from laminar flows. We assume that the mass flux and th…
Modified Reynolds equation for steady flow through a curved pipe
Arpan Ghosh, Vladimir Kozlov, Sergey Nazarov
A modified Reynolds equation governing the steady flow of a fluid with low Reynolds number through a curvilinear, narrow tube, with its derivation from Stokes equations through asy…
On the nonstationary Stokes system in a cone: asymptotics of solutions at infinity
Vladimir Kozlov, Juergen Rossmann
The paper deals with the Dirichlet problem for the nonstationary Stokes system in a cone. The authors obtain existence and uniqueness results for solutions in weighted Sobolev spac…
On the nonstationary Stokes system in a cone
Vladimir Kozlov, Juergen Rossmann
The authors consider the Dirichlet problem for the nonstationary Stokes system in a threedimensional cone. They obtain existence and uniqueness results for solutions in weighted So…
On the Benjamin--Lighthill conjecture for water waves with vorticity
Vladimir Kozlov, Nikolay Kuznetsov, Evgeniy Lokharu
We consider the nonlinear problem of steady gravity-driven waves on the free surface of a two-dimensional flow of an incompressible fluid (say, water). The flow is assumed to be un…
On bounds and non-existence in the problem of steady waves with vorticity
Vladimir Kozlov, Nikolay Kuznetsov, Evgeniy Lokharu
For the problem describing steady, gravity waves with vorticity on a two-dimensional, unidirectional flow of finite depth the following results are obtained. (i) Bounds for the fre…
Single Layer Potentials on Surfaces with Small Lipschitz constant
V. Kozlov, J. Thim, B. O. Turesson
This paper considers to the equation [\int_{S} \frac{U(Q)}{|P-Q|^{N-1}} dS(Q) = F(P), P \in S,] where the surface S is the graph of a Lipschitz function ϕon R^N, which has a small…