Spaces of solenoidal vector fields in boundary value problems for the Navier-Stokes equations in regions with noncompact boundaries LV Kapitanskii, KI Piletskas Matematicheskii Institut imeni Steklova Trudy 159, 5-36, 1983 | 139* | 1983 |
Solution of Leray's problem for stationary Navier-Stokes equations in plane and axially symmetric spatial domains MV Korobkov, K Pileckas, R Russo Annals of mathematics, 769-807, 2015 | 96 | 2015 |
Asymptotic analysis of the non-steady Navier–Stokes equations in a tube structure. I. The case without boundary-layer-in-time G Panasenko, K Pileckas Nonlinear Analysis: Theory, Methods & Applications 122, 125-168, 2015 | 71 | 2015 |
On steady Stokes and Navier-Stokes problems with zero velocity at infinity in a three-dimensional exterior domain SA Nazarov, K Pileckas Journal of Mathematics of Kyoto University 40 (3), 475-492, 2000 | 70 | 2000 |
Note on the flux problem for stationary incompressible Navier-Stokes equations in domains with a multiply connected boundary W Borchers, K Pileckas Acta Applicandae Mathematica 37, 21-30, 1994 | 70 | 1994 |
Reynolds flow of a fluid in a thin three-dimensional channel S Nazaraov, K Pileckas Lithuanian Mathematical Journal 30 (4), 366-375, 1990 | 66 | 1990 |
Certain spaces of solenoidal vectors and the solvability of the boundary problem for the Navier–Stokes system of equations in domains with noncompact boundaries VA Solonnikov, KI Pileckas Zapiski Nauchnykh Seminarov POMI 73, 136-151, 1977 | 64* | 1977 |
On the flux problem in the theory of steady Navier–Stokes equations with nonhomogeneous boundary conditions MV Korobkov, K Pileckas, R Russo Archive for Rational Mechanics and Analysis 207 (1), 185-213, 2013 | 62 | 2013 |
On the solvability of the Stokes and Navier-Stokes problems in the domains that are layer-like at infinity SA Nazarov, K Pileckas Journal of Mathematical Fluid Mechanics 1, 78-116, 1999 | 62 | 1999 |
Asymptotic analysis of the non-steady Navier–Stokes equations in a tube structure. II. General case G Panasenko, K Pileckas Nonlinear Analysis 125, 582-607, 2015 | 57 | 2015 |
Existence, uniqueness and asymptotics of steady jets W Borchers, K Pileckas Archive for rational mechanics and analysis 120, 1-49, 1992 | 54 | 1992 |
Navier–Stokes system in domains with cylindrical outlets to infinity. Leray’s problem K Pileckas Handbook of mathematical fluid dynamics 4 (8), 445-647, 2007 | 51 | 2007 |
On noncompact free boundary problems for the plae stationary Navier-Stokes equations. K Pileckas, S Nazarov Journal für die reine und angewandte Mathematik (Crelles Journal) 1993 (438 …, 1993 | 51 | 1993 |
On the unsteady Poiseuille flow in a pipe GP Galdi, K Pileckas, AL Silvestre Zeitschrift für angewandte Mathematik und Physik 58 (6), 994-1007, 2007 | 48 | 2007 |
Asymptotic conditions at infinity for the Stokes and Navier-Stokes problems in domains with cylindrical outlets to infinity SA Nazarov, K Pileckas Quaderni di Matematica, Advances in Fluid Dynamics 4, 32-132, 1999 | 47 | 1999 |
On the existence of vanishing at infinity symmetric solutions to the plane stationary exterior Navier–Stokes problem K Pileckas, R Russo Mathematische Annalen 352, 643-658, 2012 | 46 | 2012 |
The flux problem for the Navier–Stokes equations MV Korobkov, K Pileckas, VV Pukhnachev, R Russo Russian Mathematical Surveys 69 (6), 1065, 2014 | 45 | 2014 |
Spaces of solenoidal vectors KI Pileckas Trudy Matematicheskogo Instituta imeni VA Steklova 159, 137-149, 1983 | 45 | 1983 |
Existence of solutions with the prescribed flux of the Navier–Stokes system in an infinite cylinder K Pileckas Journal of Mathematical Fluid Mechanics 8, 542-563, 2006 | 43 | 2006 |
The asymptotic properties of the solution to the Stokes problem in domains that are layer-like at infinity SA Nazarov, K Pileckas Journal of Mathematical Fluid Mechanics 1 (2), 131-167, 1999 | 42 | 1999 |