Search Results - "Pileckas, K."
-
1
Existence of nonstationary Poiseuille-type solutions under minimal regularity assumptions
Published in Zeitschrift für angewandte Mathematik und Physik (01-12-2020)“…Existence and uniqueness of a solution to the nonstationary Navier–Stokes equations having a prescribed flow rate (flux) in the infinite cylinder Π = { x = ( x…”
Get full text
Journal Article -
2
Time periodic Navier–Stokes equations in a thin tube structure
Published in Boundary value problems (11-02-2020)“…The time periodic Navier–Stokes equations are considered in the three-dimensional and two-dimensional settings with Dirichlet boundary conditions in thin tube…”
Get full text
Journal Article -
3
On a non‐stationary fluid flow problem in an infinite periodic pipe
Published in Mathematische Nachrichten (01-03-2017)“…We study linearized, non‐stationary Navier–Stokes type equations with the given flux in an infinite pipe periodic of period length L with respect to xn. The…”
Get full text
Journal Article -
4
On the nonstationary linearized Navier–Stokes problem in domains with cylindrical outlets to infinity
Published in Mathematische annalen (01-06-2005)Get full text
Journal Article -
5
Global solvability for a large flux of a three-dimensional time-dependent Navier-Stokes problem in a straight cylinder
Published in Mathematical methods in the applied sciences (10-09-2008)“…The unique global existence of a solution to nonstationary Navier–Stokes system with prescribed nonzero flux F(t) in an infinite three‐dimensional pipe is…”
Get full text
Journal Article -
6
Existence of a Nonstationary Poiseuille Solution
Published in Siberian mathematical journal (01-05-2005)Get full text
Journal Article -
7
Viscous two-fluid flows in perturbed unbounded domains
Published in Mathematische Nachrichten (01-04-2005)“…Two stationary plane free boundary value problems for the Navier‐Stokes equations are studied. The first problem models the viscous two‐fluid flow down a…”
Get full text
Journal Article -
8
Spatial behavior of solutions to the time periodic Stokes system in a three dimensional layer
Published in Journal of Differential Equations (15-11-2017)“…Starting from solutions to the Dirichlet boundary value problem for the time-periodic Stokes system in a 3D-layer the subject of this paper is the asymptotic…”
Get full text
Journal Article -
9
THE MATHEMATICAL MODEL OF COMPRESSIBLE FLUID FLOW
Published in Mathematical modelling and analysis (30-06-2002)“…In this note we consider the mathematical model of the isothermal compressible fluid flow in an exterior domain O ⊂ R3. In order to solve this problem we apply…”
Get full text
Journal Article -
10
Existence of Solutions with the Prescribed Flux of the Navier–Stokes System in an Infinite Cylinder
Published in Journal of mathematical fluid mechanics (01-12-2006)Get full text
Journal Article -
11
Note on the flux problem for stationary incompressible Navier-Stokes equations in domains with a multiply connected boundary
Published in Acta applicandae mathematicae (01-11-1994)Get full text
Journal Article -
12
Viscous incompressible free-surface flow down an inclined perturbed plane
Published in Annali dell'Università di Ferrara. Sezione 7. Scienze matematiche (2014)“…The plane stationary free boundary value problem for the Navier-Stokes equations is studied. This problem models the viscous fluid free-surface flow down a…”
Get full text
Journal Article -
13
On the existence and asymptotical behaviour of a steady flow of a viscous barotropic gas in a pipe
Published in Annali di matematica pura ed applicata (01-12-1997)Get full text
Journal Article -
14
On steady compressible Navier-Stokes equations in plane domains with corners
Published in Mathematische annalen (01-01-1996)Get full text
Journal Article -
15
On the Nonhomogeneous Boundary Value Problem for the Navier–Stokes System in a Class of Unbounded Domains
Published in Journal of mathematical fluid mechanics (01-12-2012)“…The stationary Navier–Stokes system with nonhomogeneous boundary conditions is studied in a class of domains Ω having “paraboloidal” outlets to infinity. The…”
Get full text
Journal Article -
16
On the Behavior of a Nonstationary Poiseuille Solution as t
Published in Siberian mathematical journal (01-07-2005)Get full text
Journal Article -
17
On the unsteady Poiseuille flow in a pipe
Published in Zeitschrift für angewandte Mathematik und Physik (01-11-2007)Get full text
Journal Article -
18
Global solvability of the Cauchy problem for the Navier–Stokes equation in $$\mathbb {R}^3$$ for some class of initial data
Published in Mathematische Zeitschrift (01-10-2008)Get full text
Journal Article -
19
Global solvability of the Cauchy problem for the Navier–Stokes equation in for some class of initial data
Published in Mathematische Zeitschrift (2008)“…In this paper we prove the existence of regular solutions to the Navier–Stokes equations if the initial data v 0 have some finite weighted norm and supp v 0…”
Get full text
Journal Article -
20
A Steady Three-Dimensional Noncompact Free Boundary-Value Problem for the Navier-Stokes Equations
Published in Journal of mathematical sciences (New York, N.Y.) (01-10-2005)Get full text
Journal Article