Search Results - "Pileckas, K."

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    Existence of nonstationary Poiseuille-type solutions under minimal regularity assumptions by Pileckas, K., Čiegis, R.

    “…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…”
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    Journal Article
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    Time periodic Navier–Stokes equations in a thin tube structure by Juodagalvytė, R., Panasenko, G., Pileckas, K.

    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…”
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    On a non‐stationary fluid flow problem in an infinite periodic pipe by Chipot, M., Klovienė, N., Pileckas, K., Zube, S.

    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…”
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    Global solvability for a large flux of a three-dimensional time-dependent Navier-Stokes problem in a straight cylinder by Pileckas, K., Zaja̧czkowski, W.

    “…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…”
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    Viscous two-fluid flows in perturbed unbounded domains by Pileckas, K., Socolowsky, J.

    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…”
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    Spatial behavior of solutions to the time periodic Stokes system in a three dimensional layer by Pileckas, K., Specovius-Neugebauer, M.

    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…”
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    THE MATHEMATICAL MODEL OF COMPRESSIBLE FLUID FLOW by Leonavičiene, T., Pileckas, K.

    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…”
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    Viscous incompressible free-surface flow down an inclined perturbed plane by Pileckas, K., Solonnikov, V. A.

    “…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…”
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    On the Nonhomogeneous Boundary Value Problem for the Navier–Stokes System in a Class of Unbounded Domains by Kaulakytė, K., Pileckas, K.

    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…”
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    Global solvability of the Cauchy problem for the Navier–Stokes equation in for some class of initial data by Pileckas, K., Zaja̧czkowski, W. M.

    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…”
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