Edit Profile (opens in new tab) Pileckas, Konstantin Co-Author Distance Author ID: pileckas.konstantin Published as: Pileckas, Konstantin; Pileckas, K.; Piletskas, K. I.; Pileckas, K. I.; Pileckas, Konstantinas; Piletskas, K.; Piletskas, Konstantinas; Pileckas, Konstaninas; Piletskas, Konstantin more...less Further Spellings: Пилецкас Константин И External Links: MGP · ResearchGate · Math-Net.Ru Documents Indexed: 133 Publications since 1977, including 1 Book 5 Contributions as Editor · 1 Further Contribution Co-Authors: 42 Co-Authors with 106 Joint Publications 1,084 Co-Co-Authors all top 5 Co-Authors 32 single-authored 20 Nazarov, Sergeĭ Aleksandrovich 16 Panasenko, Grigory P. 16 Russo, Remigio 14 Korobkov, Mikhail V. 7 Galdi, Giovanni Paolo 6 Solonnikov, Vsevolod Alekseevich 5 Kaulakytė, Kristina 4 Kapitanskiĭ, L. V. 4 Klovienė, Neringa 4 Specovius-Neugebauer, Maria Ursula 3 Borchers, Wolfgang 3 Novotný, Antonín 3 Padula, Mariarosaria 3 Raciene, Alicija 3 Socolowsky, Jürgen 3 Vernescu, Bogdan 3 Zajączkowski, Wojciech M. 2 Bertoglio, Cristóbal 2 Chipot, Michel 2 Čiegis, Raimondas 2 Eismontaitė, Alicija 2 Kozulinas, Nikolajus 2 Leonavičienė, Teresė 2 Nolte, David D. 2 Sequeira, Adélia 2 Šumskas, Vytenis 2 Videman, Juha Hans 2 Zaleskis, L. 1 Amann, Herbert 1 Conca, Carlos 1 Denisova, Irina Vlad. 1 Frolova, E. V. 1 Juodagalvytė, Rita 1 Keblikas, V. 1 Pukhnachov, Vladislav Vasil’evich 1 Repin, Sergeĭ Igorevich 1 Samajtis, Kazimeras 1 Seregin, Gregory A. 1 Silvestre, Ana Leonor 1 Ural’tseva, Nina Nikolaevna 1 Xue, Wei 1 Zube, Stephanie all top 5 Serials 12 Lithuanian Mathematical Journal 11 Journal of Mathematical Fluid Mechanics 5 Journal of Soviet Mathematics 5 Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta Imeni V. A. Steklova 4 Applicable Analysis 4 Archive for Rational Mechanics and Analysis 4 Mathematische Annalen 4 Litovskiĭ Matematicheskiĭ Sbornik 4 Differentsial’nye Uravneniya i ikh Primenenie 4 Proceedings of the Steklov Institute of Mathematics 4 Trudy Matematicheskogo Instituta Imeni V. A. Steklova 3 ZAMP. Zeitschrift für angewandte Mathematik und Physik 3 Mathematische Nachrichten 3 Asymptotic Analysis 3 Journal of Mathematical Sciences (New York) 3 Mathematical Modelling and Analysis 3 Advances in Nonlinear Analysis 2 Journal of Mathematical Analysis and Applications 2 Mathematical Methods in the Applied Sciences 2 Journal of Differential Equations 2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 2 Rendiconti del Seminario Matematico della Università di Padova 2 Sibirskiĭ Matematicheskiĭ Zhurnal 2 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 2 SIAM Journal on Applied Mathematics 2 St. Petersburg Mathematical Journal 2 Nonlinear Analysis. Modelling and Control 1 Archives of Mechanics 1 Computers & Mathematics with Applications 1 Communications in Mathematical Physics 1 Journal of Mathematical Physics 1 Russian Mathematical Surveys 1 Advances in Mathematics 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Journal of Mathematics of Kyoto University 1 Journal für die Reine und Angewandte Mathematik 1 Mathematics of the USSR. Izvestiya 1 Mathematische Zeitschrift 1 Zeitschrift für Analysis und ihre Anwendungen 1 Acta Applicandae Mathematicae 1 Algebra i Analiz 1 Izvestiya Akademii Nauk SSSR. Seriya Matematicheskaya 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Advances in Mathematical Sciences and Applications 1 Topological Methods in Nonlinear Analysis 1 Calculus of Variations and Partial Differential Equations 1 Sbornik: Mathematics 1 Doklady Mathematics 1 Annals of Mathematics. Second Series 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 1 Analysis and Applications (Singapore) 1 Boundary Value Problems 1 Annali dell’Università di Ferrara. Sezione VII. Scienze Matematiche 1 Mathematical Modelling of Natural Phenomena all top 5 Fields 122 Partial differential equations (35-XX) 110 Fluid mechanics (76-XX) 9 Functional analysis (46-XX) 4 History and biography (01-XX) 4 Numerical analysis (65-XX) 3 General and overarching topics; collections (00-XX) 3 Potential theory (31-XX) 3 Operator theory (47-XX) 2 Ordinary differential equations (34-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Biology and other natural sciences (92-XX) 1 Combinatorics (05-XX) 1 Classical thermodynamics, heat transfer (80-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 106 Publications have been cited 861 times in 369 Documents Cited by ▼ Year ▼ Asymptotic analysis of the non-steady Navier-Stokes equations in a tube structure. I: The case without boundary-layer-in-time. Zbl 1326.35248 Panasenko, Grigory; Pileckas, Konstantin 41 2015 Asymptotic analysis of the non-steady Navier-Stokes equations in a tube structure. II: General case. Zbl 1332.35268 Panasenko, Grigory; Pileckas, Konstantin 36 2015 Solution of Leray’s problem for stationary Navier-Stokes equations in plane and axially symmetric spatial domains. Zbl 1318.35065 Korobkov, Mikhail V.; Pileckas, Konstantin; Russo, Remigio 32 2015 The Liouville theorem for the steady-state Navier-Stokes problem for axially symmetric 3D solutions in absence of swirl. Zbl 1328.35151 Korobkov, Mikhail; Pileckas, Konstantin; Russo, Remigio 27 2015 On steady Stokes and Navier-Stokes problems with zero velocity at infinity in a three-dimensional exterior domain. Zbl 0976.35051 Nazarov, S. A.; Pileckas, K. 27 2000 Reynolds flow of a fluid in a thin three-dimensional channel. Zbl 0715.76011 Nazarov, S. A.; Pileckas, K. I. 26 1990 On the unsteady Poiseuille flow in a pipe. Zbl 1133.35105 Galdi, G. P.; Pileckas, K.; Silvestre, A. L. 25 2007 Note on the flux problem for stationary incompressible Navier-Stokes equations in domains with a multiply connected boundary. Zbl 0814.76029 Borchers, Wolfgang; Pileckas, K. 24 1994 On the existence of vanishing at infinity symmetric solutions to the plane stationary exterior Navier-Stokes problem. Zbl 1233.35161 Pileckas, Konstantin; Russo, Remigio 24 2012 Asymptotic analysis of the nonsteady viscous flow with a given flow rate in a thin pipe. Zbl 1237.76149 Panasenko, Grigory; Pileckas, Konstantin 22 2012 On the flux problem in the theory of steady Navier-Stokes equations with nonhomogeneous boundary conditions. Zbl 1260.35115 Korobkov, Mikhail V.; Pileckas, Konstantin; Russo, Remigio 21 2013 The flux problem for the Navier-Stokes equations. Zbl 1319.35161 Korobkov, M. V.; Pileckas, K.; Pukhnachev, V. V.; Russo, R. 20 2014 Existence of solutions with the prescribed flux of the Navier-Stokes system in an infinite cylinder. Zbl 1111.35038 Pileckas, K. 18 2006 On convergence of arbitrary D-solution of steady Navier-Stokes system in 2D exterior domains. Zbl 1416.35187 Korobkov, Mikhail V.; Pileckas, Konstantin; Russo, Remigio 16 2019 Flows in a tube structure: equation on the graph. Zbl 1366.35137 Panasenko, Grigory; Pileckas, Konstantin 16 2014 On the steady Navier-Stokes equations in \(2D\) exterior domains. Zbl 1434.76028 Korobkov, Mikhail V.; Pileckas, Konstantin; Russo, Remigio 16 2020 On steady compressible Navier-Stokes equations in plane domains with corners. Zbl 0844.35083 Nazarov, S. A.; Novotný, A.; Pileckas, K. 15 1996 On the solvability of the Stokes and Navier-Stokes problems in the domains that are layer-like at infinity. Zbl 0941.35062 Nazarov, S. A.; Pileckas, K. 14 1999 Existence of a nonstationary Poiseuille solution. Zbl 1081.35147 Pileckas, Konstantin; Keblikas, V. 13 2005 The asymptotic behavior of solutions of a stationary system of Navier-Stokes equations in a domain of layer type. Zbl 1069.35052 Piletskas, K. 13 2002 Certain spaces of solenoidal vectors and the solvability of the boundary problem for the Navier-Stokes system of equations in domains with noncompact boundaries. Zbl 0612.35111 Solonnikov, V. A.; Piletskas, K. I. 13 1986 On the nonstationary linearized Navier-Stokes problem in domains with cylindrical outlets to infinity. Zbl 1096.35106 Pileckas, K. 13 2005 The existence of a solution with finite Dirichlet integral for the steady Navier-Stokes equations in a plane exterior symmetric domain. Zbl 1331.35263 Korobkov, Mikhail; Pileckas, Konstantin; Russo, Remigio 13 2014 Noncompact free boundary problems for the plane stationary Navier-Stokes equations. Zbl 0767.35111 Nazarov, Sergei; Pileckas, Konstantin 13 1993 An existence theorem for steady Navier-Stokes equations in the axially symmetric case. Zbl 1321.35137 Korobkov, Mikhail; Pileckas, Konstantin; Russo, Remigio 12 2015 Steady flows of viscoelastic fluids in domains with outlets to infinity. Zbl 0972.35104 Pileckas, Konstantin; Sequeira, Adélia; Videman, Juha H. 12 2000 On spaces of solenoidal vector fields and boundary value problems for the Navier-Stokes equations in domains with noncompact boundaries. Zbl 0585.76038 Kapitanskij, L. V.; Piletskas, K. I. 12 1984 The asymptotic properties of the solution to the Stokes problem in domains that are layer-like at infinity. Zbl 0940.35155 Nazarov, S. A.; Pileckas, K. 10 1999 Asymptotic conditions at infinity for the Stokes and Navier-Stokes problems in domains with cylindrical outlets to infinity. Zbl 0948.35099 Nazarov, Serguei A.; Pileckas, Konstantin 10 1999 Divergence equation in thin-tube structures. Zbl 1320.35286 Panasenko, Grigory; Pileckas, Konstantin 10 2015 Existence, uniqueness and asymptotics of steady jets. Zbl 0772.76021 Borchers, Wolfgang; Pileckas, Konstantin 10 1992 Strong solutions of the steady nonlinear Navier-Stokes system in domains with exits to infinity. Zbl 0891.35117 Pileckas, K. 9 1997 Weighted \(L^ q\)-solvability of the steady Stokes system in domains with noncompact boundaries. Zbl 0859.35092 Pileckas, K. 9 1996 Solvability of a problem on the planar motion of a viscous incompressible fluid with the free non-compact boundary. Zbl 0504.76032 Pileckas, K. 9 1981 The existence theorem for the steady Navier-Stokes problem in exterior axially symmetric 3D domains. Zbl 1383.35141 Korobkov, Mikhail; Pileckas, Konstantin; Russo, Remigio 8 2018 On some spaces of divergence-free vector fields and on the solvability of a boundary-value problem for Navier-Stokes equations in domains with non- compact boundaries. Zbl 0406.35054 Solonnikov, V. A.; Piletskas, K. I. 8 1977 Certain problems of vector analysis. Zbl 0582.35012 Kapitanskij, L. V.; Piletskas, K. I. 8 1986 On the spaces of solenoidal vector fields and boundary value problems for the Navier-Stokes equations in domains with non-compact boundaries. Zbl 0528.76029 Kapitanskij, L. V.; Piletskas, K. I. 8 1983 On spaces of solenoidal vectors. Zbl 0468.46021 Piletskas, K. I. 7 1980 On nonstationary two-dimensional Leray’s problem for Poiseuille flow. Zbl 1115.35103 Pileckas, Konstantin 7 2006 On the free boundary problem for stationary compressible Navier-Stokes equations. Zbl 0715.35088 Pileckas, Konstantin; Zajączkowski, Wojciech M. 7 1990 Asymptotics of solutions to Stokes and Navier-Stokes equations in domains with paraboloidal outlets to infinity. Zbl 0909.35104 Nazarov, S. A.; Pileckas, K. 7 1998 Recent advances in the theory of Stokes and Navier-Stokes equations in domains with non-compact boundaries. Zbl 0873.76021 Pileckas, Konstantin 7 1996 Asymptotics of solutions to the Navier-Stokes system with nonzero flux in a layer-like domain. Zbl 1211.35221 Pileckas, K.; Specovius-Neugebauer, M. 7 2010 On the behavior of a nonstationary Poiseuille solution as \(t\to\infty\). Zbl 1119.35059 Pileckas, Konstantin 7 2005 On nonhomogeneous boundary value problems for the stationary Navier-Stokes equations in two-dimensional symmetric semi-infinite outlets. Zbl 1368.35205 Chipot, M.; Kaulakytė, K.; Pileckas, K.; Xue, W. 6 2017 Classical solvability and uniform estimates for the steady Stokes system in domains with noncompact boundaries. Zbl 0870.35079 Pileckas, K. 6 1996 On some problems of vector analysis. Zbl 0557.35012 Kapitanskij, L. V.; Piletskas, K. I. 6 1984 On singular solutions of time-periodic and steady Stokes problems in a power cusp domain. Zbl 1460.35254 Eismontaite, Alicija; Pileckas, Konstantin 6 2018 Steady state non-Newtonian flow in a thin tube structure: equation on the graph. Zbl 1492.76010 Panasenko, G.; Pileckas, K.; Vernescu, B. 6 2022 Solvability in weighted spaces of the three-dimensional Navier-Stokes problem in domains with cylindrical outlets to infinity. Zbl 1148.35065 Pileckas, Konstantin 6 2007 A note on steady flows of non-Newtonian fluids in channels and pipes. Zbl 0962.35144 Pileckas, Konstantin; Sequeira, Adélia; Videman, Juha H. 5 1998 Nonhomogeneous boundary value problem for the stationary Navier-Stokes equations in a domain with a cusp. Zbl 1412.35222 Kaulakytė, Kristina; Klovienė, Neringa; Pileckas, Konstantin 5 2019 Junction of models of different dimension for flows in tube structures by Womersley-type interface conditions. Zbl 1419.35155 Bertoglio, Cristóbal; Conca, Carlos; Nolte, David; Panasenko, Grigory; Pileckas, Konstantinas 5 2019 On the uniqueness of Leray-Hopf solutions for the flow through an aperture. Zbl 0781.35050 Borchers, Wolfgang; Galdi, Giovanni P.; Pileckas, Konstantin 5 1993 Existence of solutions for the Navier-Stokes equations, having an infinite dissipation of energy, in a class of domains with noncompact boundaries. Zbl 0531.76038 Piletskas, K. I. 5 1984 Nonstationary Poiseuille-type solutions for the second-grade fluid flow. Zbl 1279.35009 Klovienė, Neringa; Pileckas, Konstantinas 5 2012 On the nonhomogeneous boundary value problem for the Navier-Stokes system in a class of unbounded domains. Zbl 1256.35062 Kaulakytė, K.; Pileckas, K. 5 2012 ADI scheme for partially dimension reduced heat conduction models. Zbl 1447.65046 Čiegis, R.; Panasenko, Grigory; Pileckas, Konstaninas; Šumskas, Vytenis 5 2020 On the Fredholm property of the Stokes operator in a layer-like domain. Zbl 0984.35127 Nazarov, S. A.; Pileckas, K. 4 2001 Stationary Stokes and Navier-Stokes systems in an infinite open channel. I. Zbl 0703.35149 Pileckas, K. I.; Solonnikov, V. A. 4 1989 On plane motion of a viscous incompressible capillary liquid with a noncompact free boundary. Zbl 0717.76040 Pileckas, K. I. 4 1989 On the behavior of solutions of the Stokes and Navier-Stokes systems in domains with a periodically varying section. Zbl 0554.76032 Nazarov, S. A.; Piletskas, K. I. 4 1984 Three-dimensional solenoidal vectors. Zbl 0509.46021 Piletskas, K. I. 4 1983 Behaviour of solutions of Stokes and Navier-Stokes systems in domains with periodically changing flow. Zbl 0533.76035 Nazarov, S. A.; Piletskas, K. I. 4 1983 The second grade fluid flow problem in an infinite pipe. Zbl 1273.35213 Klovienė, N.; Pileckas, K. 4 2013 Global solvability in \(W^{2,1}_2\)-weighted spaces of the two-dimensional Navier-Stokes problem in domains with strip-like outlets to infinity. Zbl 1162.76326 Pileckas, Konstantin 4 2008 Steady state non-Newtonian flow with strain rate dependent viscosity in domains with cylindrical outlets to infinity. Zbl 1509.35240 Panasenko, Grigory; Pileckas, Konstantin; Vernescu, Bogdan 4 2021 Steady compressible Navier-Stokes equations with large potential forces via a method of decomposition. Zbl 0914.76070 Novotny, Antonin; Pileckas, Konstantin 3 1998 Viscous two-fluid flows in perturbed unbounded domains. Zbl 1067.35065 Pileckas, K.; Socolowsky, J. 3 2005 The solvability of a problem about the plane motion of a viscous incompressible fluid with a free non-compact boundary. Zbl 0508.76048 Piletskas, K. I. 3 1981 On singular solutions of the initial boundary value problem for the Stokes system in a power cusp domain. Zbl 1428.35284 Eismontaite, Alicija; Pileckas, Konstantin 3 2019 On spaces of solenoidal vectors. Zbl 0541.35008 Piletskas, K. I. 3 1984 Periodic in time flow in thin structure: equation on the graph. Zbl 1446.35106 Panasenko, Grigory; Pileckas, Konstantin 3 2020 Non-stationary Navier-Stokes equations in \(2D\) power cusp domain. I: Construction of the formal asymptotic decomposition. Zbl 1473.35411 Pileckas, Konstantin; Raciene, Alicija 3 2021 Leray’s plane steady state solutions are nontrivial. Zbl 1454.35256 Korobkov, Mikhail V.; Pileckas, Konstantin; Russo, Remigio 3 2021 On the existence and asymptotical behaviour of a steady flow of a viscous barotropic gas in a pipe. Zbl 0938.35142 Padula, M.; Pileckas, K. 2 1997 Analysis of two linearized problems modeling viscous two-layer flows. Zbl 1014.35077 Pileckas, Konstantinas; Socolowsky, Jürgen 2 2002 A note to the paper: ”The gliding of a planar plate of infinite range over the surface of a heavy viscous incompressible fluid of finite depth”. Zbl 0588.76046 Piletskas, K. 2 1984 On a non-stationary fluid flow problem in an infinite periodic pipe. Zbl 1364.35234 Chipot, M.; Klovienė, N.; Pileckas, K.; Zube, S. 2 2017 Viscous incompressible free-surface flow down an inclined perturbed plane. Zbl 1302.35298 Pileckas, K.; Solonnikov, V. A. 2 2014 An example of nonuniqueness of the solution of a problem with free noncompact boundary for the system of Navier-Stokes equations. Zbl 0673.76029 Pileckas, K. 2 1988 On solenoidal vector spaces. Zbl 0524.35017 Piletskas, K. I. 2 1983 Floating of an infinite flat plate on the surface of a heavy viscous incompressible fluid of finite depth. Zbl 0564.76052 Piletskas, Konstantinas 2 1983 Steady state non-Newtonian flow with strain rate dependent viscosity in thin tube structure with no slip boundary condition. Zbl 1511.35285 Panasenko, Grigory; Pileckas, Konstantin; Vernescu, Bogdan 2 2022 Existence of nonstationary Poiseuille-type solutions under minimal regularity assumptions. Zbl 1475.35362 Pileckas, K.; Čiegis, R. 2 2020 Time periodic Navier-Stokes equations in a thin tube structure. Zbl 1499.35475 Juodagalvytė, R.; Panasenko, G.; Pileckas, K. 2 2020 Solvability in a finite pipe of steady-state Navier-Stokes equations with boundary conditions involving Bernoulli pressure. Zbl 1428.76049 Korobkov, Mikhail V.; Pileckas, Konstantin; Russo, Remigio 2 2020 On the nonstationary two-dimensional Navier-Stokes problem in domains with strip-like outlets to infinity. Zbl 1126.35046 Pileckas, Konstantin 2 2007 Asymptotics of solutions with vanishing at infinity velocity of the steady-state Navier-Stokes equations in the dimension four. Zbl 1386.76060 Pileckas, Konstantin; Russo, Remigio 1 2017 Analysis of the Navier-Stokes equations for some two-layer flows in unbounded domains. Zbl 0942.35135 Pileckas, Konstantinas; Socolowsky, Jürgen 1 1998 Asymptotics of solutions to the Navier-Stokes equations in the exterior of a bounded body. Zbl 0961.35103 Nazarov, S. A.; Pileckas, K. I. 1 1999 Existence of axisymmetric solutions of the stationary system of Navier-Stokes equations in a class of domains with noncompact boundary. Zbl 0583.35085 Pileckas, K. 1 1984 Asymptotics of the solution of the nonlinear Dirichlet problem having a strong singularity near a corner point. Zbl 0599.35068 Nazarov, S. A.; Piletskas, K. I. 1 1985 Stationary Stokes and Navier-Stokes systems in an infinite open channel. II. Zbl 0714.35067 Pileckas, K. I.; Solonnikov, V. A. 1 1989 Solvability of a free noncompact boundary problem for a stationary Navier-Stokes system. I. Zbl 0727.35108 Pileckas, K. I.; Specovius-Neugebauer, M. 1 1989 About the problem on the flow of a heavy viscous incompressible fluid with non-compact free boundary. Zbl 0657.76030 Piletskas, K. I. 1 1988 Mathematical problems for Navier-Stokes equations, international workshop, 1-5 March 1993, Centro (Ferrara), Italy. Acta Applicandae Mathematicae 37, No. 1-2. Acta Applicandae Mathematicae 37, No. 1-2. Zbl 0804.00020 1 1994 Solvability of a problem on the plane motion of a viscous incompressible fluid with a free noncompact boundary. Zbl 0531.76037 Piletskas, K. I. 1 1984 The Fredholm property of the Neumann problem operator in the domains that are layer-like at infinity. Zbl 0881.35029 Nazarov, S. A.; Pileckas, K. I. 1 1996 Nonstationary Poiseuille flow of a non-Newtonian fluid with the shear rate-dependent viscosity. Zbl 1503.35179 Panasenko, Grigory; Pileckas, Konstantin 1 2023 Steady state non-Newtonian flow in a thin tube structure: equation on the graph. Zbl 1492.76010 Panasenko, G.; Pileckas, K.; Vernescu, B. 6 2022 Steady state non-Newtonian flow with strain rate dependent viscosity in thin tube structure with no slip boundary condition. Zbl 1511.35285 Panasenko, Grigory; Pileckas, Konstantin; Vernescu, Bogdan 2 2022 Steady state non-Newtonian flow with strain rate dependent viscosity in domains with cylindrical outlets to infinity. Zbl 1509.35240 Panasenko, Grigory; Pileckas, Konstantin; Vernescu, Bogdan 4 2021 Non-stationary Navier-Stokes equations in \(2D\) power cusp domain. I: Construction of the formal asymptotic decomposition. Zbl 1473.35411 Pileckas, Konstantin; Raciene, Alicija 3 2021 Leray’s plane steady state solutions are nontrivial. Zbl 1454.35256 Korobkov, Mikhail V.; Pileckas, Konstantin; Russo, Remigio 3 2021 Reconstruction of the pressure in the method of asymptotic partial decomposition for the flows in tube structures. Zbl 1479.35646 Bertoglio, Cristobal; Nolte, David; Panasenko, Grigory; Pileckas, Konstantinas 1 2021 Non-stationary Navier-Stokes equations in \(2D\) power cusp domain. II: Existence of the solution. Zbl 1473.35412 Pileckas, Konstantin; Raciene, Alicija 1 2021 On the steady Navier-Stokes equations in \(2D\) exterior domains. Zbl 1434.76028 Korobkov, Mikhail V.; Pileckas, Konstantin; Russo, Remigio 16 2020 ADI scheme for partially dimension reduced heat conduction models. Zbl 1447.65046 Čiegis, R.; Panasenko, Grigory; Pileckas, Konstaninas; Šumskas, Vytenis 5 2020 Periodic in time flow in thin structure: equation on the graph. Zbl 1446.35106 Panasenko, Grigory; Pileckas, Konstantin 3 2020 Existence of nonstationary Poiseuille-type solutions under minimal regularity assumptions. Zbl 1475.35362 Pileckas, K.; Čiegis, R. 2 2020 Time periodic Navier-Stokes equations in a thin tube structure. Zbl 1499.35475 Juodagalvytė, R.; Panasenko, G.; Pileckas, K. 2 2020 Solvability in a finite pipe of steady-state Navier-Stokes equations with boundary conditions involving Bernoulli pressure. Zbl 1428.76049 Korobkov, Mikhail V.; Pileckas, Konstantin; Russo, Remigio 2 2020 Nonhomogeneous boundary value problem for the time periodic linearized Navier-Stokes system in a domain with outlet to infinity. Zbl 1442.35303 Kaulakytė, Kristina; Pileckas, Konstantin 1 2020 On convergence of arbitrary D-solution of steady Navier-Stokes system in 2D exterior domains. Zbl 1416.35187 Korobkov, Mikhail V.; Pileckas, Konstantin; Russo, Remigio 16 2019 Nonhomogeneous boundary value problem for the stationary Navier-Stokes equations in a domain with a cusp. Zbl 1412.35222 Kaulakytė, Kristina; Klovienė, Neringa; Pileckas, Konstantin 5 2019 Junction of models of different dimension for flows in tube structures by Womersley-type interface conditions. Zbl 1419.35155 Bertoglio, Cristóbal; Conca, Carlos; Nolte, David; Panasenko, Grigory; Pileckas, Konstantinas 5 2019 On singular solutions of the initial boundary value problem for the Stokes system in a power cusp domain. Zbl 1428.35284 Eismontaite, Alicija; Pileckas, Konstantin 3 2019 The existence theorem for the steady Navier-Stokes problem in exterior axially symmetric 3D domains. Zbl 1383.35141 Korobkov, Mikhail; Pileckas, Konstantin; Russo, Remigio 8 2018 On singular solutions of time-periodic and steady Stokes problems in a power cusp domain. Zbl 1460.35254 Eismontaite, Alicija; Pileckas, Konstantin 6 2018 On nonhomogeneous boundary value problems for the stationary Navier-Stokes equations in two-dimensional symmetric semi-infinite outlets. Zbl 1368.35205 Chipot, M.; Kaulakytė, K.; Pileckas, K.; Xue, W. 6 2017 On a non-stationary fluid flow problem in an infinite periodic pipe. Zbl 1364.35234 Chipot, M.; Klovienė, N.; Pileckas, K.; Zube, S. 2 2017 Asymptotics of solutions with vanishing at infinity velocity of the steady-state Navier-Stokes equations in the dimension four. Zbl 1386.76060 Pileckas, Konstantin; Russo, Remigio 1 2017 Asymptotic analysis of the non-steady Navier-Stokes equations in a tube structure. I: The case without boundary-layer-in-time. Zbl 1326.35248 Panasenko, Grigory; Pileckas, Konstantin 41 2015 Asymptotic analysis of the non-steady Navier-Stokes equations in a tube structure. II: General case. Zbl 1332.35268 Panasenko, Grigory; Pileckas, Konstantin 36 2015 Solution of Leray’s problem for stationary Navier-Stokes equations in plane and axially symmetric spatial domains. Zbl 1318.35065 Korobkov, Mikhail V.; Pileckas, Konstantin; Russo, Remigio 32 2015 The Liouville theorem for the steady-state Navier-Stokes problem for axially symmetric 3D solutions in absence of swirl. Zbl 1328.35151 Korobkov, Mikhail; Pileckas, Konstantin; Russo, Remigio 27 2015 An existence theorem for steady Navier-Stokes equations in the axially symmetric case. Zbl 1321.35137 Korobkov, Mikhail; Pileckas, Konstantin; Russo, Remigio 12 2015 Divergence equation in thin-tube structures. Zbl 1320.35286 Panasenko, Grigory; Pileckas, Konstantin 10 2015 The flux problem for the Navier-Stokes equations. Zbl 1319.35161 Korobkov, M. V.; Pileckas, K.; Pukhnachev, V. V.; Russo, R. 20 2014 Flows in a tube structure: equation on the graph. Zbl 1366.35137 Panasenko, Grigory; Pileckas, Konstantin 16 2014 The existence of a solution with finite Dirichlet integral for the steady Navier-Stokes equations in a plane exterior symmetric domain. Zbl 1331.35263 Korobkov, Mikhail; Pileckas, Konstantin; Russo, Remigio 13 2014 Viscous incompressible free-surface flow down an inclined perturbed plane. Zbl 1302.35298 Pileckas, K.; Solonnikov, V. A. 2 2014 On the flux problem in the theory of steady Navier-Stokes equations with nonhomogeneous boundary conditions. Zbl 1260.35115 Korobkov, Mikhail V.; Pileckas, Konstantin; Russo, Remigio 21 2013 The second grade fluid flow problem in an infinite pipe. Zbl 1273.35213 Klovienė, N.; Pileckas, K. 4 2013 On the existence of vanishing at infinity symmetric solutions to the plane stationary exterior Navier-Stokes problem. Zbl 1233.35161 Pileckas, Konstantin; Russo, Remigio 24 2012 Asymptotic analysis of the nonsteady viscous flow with a given flow rate in a thin pipe. Zbl 1237.76149 Panasenko, Grigory; Pileckas, Konstantin 22 2012 Nonstationary Poiseuille-type solutions for the second-grade fluid flow. Zbl 1279.35009 Klovienė, Neringa; Pileckas, Konstantinas 5 2012 On the nonhomogeneous boundary value problem for the Navier-Stokes system in a class of unbounded domains. Zbl 1256.35062 Kaulakytė, K.; Pileckas, K. 5 2012 Asymptotics of solutions to the Navier-Stokes system with nonzero flux in a layer-like domain. Zbl 1211.35221 Pileckas, K.; Specovius-Neugebauer, M. 7 2010 Global solvability in \(W^{2,1}_2\)-weighted spaces of the two-dimensional Navier-Stokes problem in domains with strip-like outlets to infinity. Zbl 1162.76326 Pileckas, Konstantin 4 2008 Global solvability for a large flux of a three-dimensional time-dependent Navier-Stokes problem in a straight cylinder. Zbl 1159.35057 Pileckas, K.; Zajączkowski, W. 1 2008 On the unsteady Poiseuille flow in a pipe. Zbl 1133.35105 Galdi, G. P.; Pileckas, K.; Silvestre, A. L. 25 2007 Solvability in weighted spaces of the three-dimensional Navier-Stokes problem in domains with cylindrical outlets to infinity. Zbl 1148.35065 Pileckas, Konstantin 6 2007 On the nonstationary two-dimensional Navier-Stokes problem in domains with strip-like outlets to infinity. Zbl 1126.35046 Pileckas, Konstantin 2 2007 Existence of solutions with the prescribed flux of the Navier-Stokes system in an infinite cylinder. Zbl 1111.35038 Pileckas, K. 18 2006 On nonstationary two-dimensional Leray’s problem for Poiseuille flow. Zbl 1115.35103 Pileckas, Konstantin 7 2006 Existence of a nonstationary Poiseuille solution. Zbl 1081.35147 Pileckas, Konstantin; Keblikas, V. 13 2005 On the nonstationary linearized Navier-Stokes problem in domains with cylindrical outlets to infinity. Zbl 1096.35106 Pileckas, K. 13 2005 On the behavior of a nonstationary Poiseuille solution as \(t\to\infty\). Zbl 1119.35059 Pileckas, Konstantin 7 2005 Viscous two-fluid flows in perturbed unbounded domains. Zbl 1067.35065 Pileckas, K.; Socolowsky, J. 3 2005 A steady three-dimensional noncompact free boundary-value problem for the Navier-Stokes equations. Zbl 1148.35357 Pileckas, K.; Zaleskis, L. 1 2005 The asymptotic behavior of solutions of a stationary system of Navier-Stokes equations in a domain of layer type. Zbl 1069.35052 Piletskas, K. 13 2002 Analysis of two linearized problems modeling viscous two-layer flows. Zbl 1014.35077 Pileckas, Konstantinas; Socolowsky, Jürgen 2 2002 On the Fredholm property of the Stokes operator in a layer-like domain. Zbl 0984.35127 Nazarov, S. A.; Pileckas, K. 4 2001 On steady Stokes and Navier-Stokes problems with zero velocity at infinity in a three-dimensional exterior domain. Zbl 0976.35051 Nazarov, S. A.; Pileckas, K. 27 2000 Steady flows of viscoelastic fluids in domains with outlets to infinity. Zbl 0972.35104 Pileckas, Konstantin; Sequeira, Adélia; Videman, Juha H. 12 2000 On the solvability of the Stokes and Navier-Stokes problems in the domains that are layer-like at infinity. Zbl 0941.35062 Nazarov, S. A.; Pileckas, K. 14 1999 The asymptotic properties of the solution to the Stokes problem in domains that are layer-like at infinity. Zbl 0940.35155 Nazarov, S. A.; Pileckas, K. 10 1999 Asymptotic conditions at infinity for the Stokes and Navier-Stokes problems in domains with cylindrical outlets to infinity. Zbl 0948.35099 Nazarov, Serguei A.; Pileckas, Konstantin 10 1999 Asymptotics of solutions to the Navier-Stokes equations in the exterior of a bounded body. Zbl 0961.35103 Nazarov, S. A.; Pileckas, K. I. 1 1999 Asymptotics of solutions to Stokes and Navier-Stokes equations in domains with paraboloidal outlets to infinity. Zbl 0909.35104 Nazarov, S. A.; Pileckas, K. 7 1998 A note on steady flows of non-Newtonian fluids in channels and pipes. Zbl 0962.35144 Pileckas, Konstantin; Sequeira, Adélia; Videman, Juha H. 5 1998 Steady compressible Navier-Stokes equations with large potential forces via a method of decomposition. Zbl 0914.76070 Novotny, Antonin; Pileckas, Konstantin 3 1998 Analysis of the Navier-Stokes equations for some two-layer flows in unbounded domains. Zbl 0942.35135 Pileckas, Konstantinas; Socolowsky, Jürgen 1 1998 Strong solutions of the steady nonlinear Navier-Stokes system in domains with exits to infinity. Zbl 0891.35117 Pileckas, K. 9 1997 On the existence and asymptotical behaviour of a steady flow of a viscous barotropic gas in a pipe. Zbl 0938.35142 Padula, M.; Pileckas, K. 2 1997 On steady compressible Navier-Stokes equations in plane domains with corners. Zbl 0844.35083 Nazarov, S. A.; Novotný, A.; Pileckas, K. 15 1996 Weighted \(L^ q\)-solvability of the steady Stokes system in domains with noncompact boundaries. Zbl 0859.35092 Pileckas, K. 9 1996 Recent advances in the theory of Stokes and Navier-Stokes equations in domains with non-compact boundaries. Zbl 0873.76021 Pileckas, Konstantin 7 1996 Classical solvability and uniform estimates for the steady Stokes system in domains with noncompact boundaries. Zbl 0870.35079 Pileckas, K. 6 1996 The Fredholm property of the Neumann problem operator in the domains that are layer-like at infinity. Zbl 0881.35029 Nazarov, S. A.; Pileckas, K. I. 1 1996 Note on the flux problem for stationary incompressible Navier-Stokes equations in domains with a multiply connected boundary. Zbl 0814.76029 Borchers, Wolfgang; Pileckas, K. 24 1994 Mathematical problems for Navier-Stokes equations, international workshop, 1-5 March 1993, Centro (Ferrara), Italy. Acta Applicandae Mathematicae 37, No. 1-2. Acta Applicandae Mathematicae 37, No. 1-2. Zbl 0804.00020 1 1994 Noncompact free boundary problems for the plane stationary Navier-Stokes equations. Zbl 0767.35111 Nazarov, Sergei; Pileckas, Konstantin 13 1993 On the uniqueness of Leray-Hopf solutions for the flow through an aperture. Zbl 0781.35050 Borchers, Wolfgang; Galdi, Giovanni P.; Pileckas, Konstantin 5 1993 Existence, uniqueness and asymptotics of steady jets. Zbl 0772.76021 Borchers, Wolfgang; Pileckas, Konstantin 10 1992 Reynolds flow of a fluid in a thin three-dimensional channel. Zbl 0715.76011 Nazarov, S. A.; Pileckas, K. I. 26 1990 On the free boundary problem for stationary compressible Navier-Stokes equations. Zbl 0715.35088 Pileckas, Konstantin; Zajączkowski, Wojciech M. 7 1990 Stationary Stokes and Navier-Stokes systems in an infinite open channel. I. Zbl 0703.35149 Pileckas, K. I.; Solonnikov, V. A. 4 1989 On plane motion of a viscous incompressible capillary liquid with a noncompact free boundary. Zbl 0717.76040 Pileckas, K. I. 4 1989 Stationary Stokes and Navier-Stokes systems in an infinite open channel. II. Zbl 0714.35067 Pileckas, K. I.; Solonnikov, V. A. 1 1989 Solvability of a free noncompact boundary problem for a stationary Navier-Stokes system. I. Zbl 0727.35108 Pileckas, K. I.; Specovius-Neugebauer, M. 1 1989 An example of nonuniqueness of the solution of a problem with free noncompact boundary for the system of Navier-Stokes equations. Zbl 0673.76029 Pileckas, K. 2 1988 About the problem on the flow of a heavy viscous incompressible fluid with non-compact free boundary. Zbl 0657.76030 Piletskas, K. I. 1 1988 Certain spaces of solenoidal vectors and the solvability of the boundary problem for the Navier-Stokes system of equations in domains with noncompact boundaries. Zbl 0612.35111 Solonnikov, V. A.; Piletskas, K. I. 13 1986 Certain problems of vector analysis. Zbl 0582.35012 Kapitanskij, L. V.; Piletskas, K. I. 8 1986 Asymptotics of the solution of the nonlinear Dirichlet problem having a strong singularity near a corner point. Zbl 0599.35068 Nazarov, S. A.; Piletskas, K. I. 1 1985 On spaces of solenoidal vector fields and boundary value problems for the Navier-Stokes equations in domains with noncompact boundaries. Zbl 0585.76038 Kapitanskij, L. V.; Piletskas, K. I. 12 1984 On some problems of vector analysis. Zbl 0557.35012 Kapitanskij, L. V.; Piletskas, K. I. 6 1984 Existence of solutions for the Navier-Stokes equations, having an infinite dissipation of energy, in a class of domains with noncompact boundaries. Zbl 0531.76038 Piletskas, K. I. 5 1984 On the behavior of solutions of the Stokes and Navier-Stokes systems in domains with a periodically varying section. Zbl 0554.76032 Nazarov, S. A.; Piletskas, K. I. 4 1984 On spaces of solenoidal vectors. Zbl 0541.35008 Piletskas, K. I. 3 1984 A note to the paper: ”The gliding of a planar plate of infinite range over the surface of a heavy viscous incompressible fluid of finite depth”. Zbl 0588.76046 Piletskas, K. 2 1984 Existence of axisymmetric solutions of the stationary system of Navier-Stokes equations in a class of domains with noncompact boundary. Zbl 0583.35085 Pileckas, K. 1 1984 Solvability of a problem on the plane motion of a viscous incompressible fluid with a free noncompact boundary. Zbl 0531.76037 Piletskas, K. I. 1 1984 On the spaces of solenoidal vector fields and boundary value problems for the Navier-Stokes equations in domains with non-compact boundaries. Zbl 0528.76029 Kapitanskij, L. V.; Piletskas, K. I. 8 1983 Three-dimensional solenoidal vectors. Zbl 0509.46021 Piletskas, K. I. 4 1983 Behaviour of solutions of Stokes and Navier-Stokes systems in domains with periodically changing flow. Zbl 0533.76035 Nazarov, S. A.; Piletskas, K. I. 4 1983 ...and 6 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 287 Authors 56 Pileckas, Konstantin 26 Nazarov, Sergeĭ Aleksandrovich 21 Panasenko, Grigory P. 17 Korobkov, Mikhail V. 12 Kozlov, Vladimir A. 12 Russo, Remigio 10 Chae, Dongho 10 Kozono, Hideo 8 Kaulakytė, Kristina 8 Pažanin, Igor 7 Pan, Xinghong 6 Farwig, Reinhard 6 Guillod, Julien 6 Hieber, Matthias 6 Kweon, Jae Ryong 6 Novotný, Antonín 6 Sequeira, Adélia 6 Wang, Wendong 6 Weng, Shangkun 6 Wolf, Jörg 6 Yanagisawa, Taku 5 Chipot, Michel 5 Čiegis, Raimondas 5 Klovienė, Neringa 5 Mel’nyk, Taras A. 5 Radulović, Marko 5 Seyfert, Anton 5 Shimizu, Senjo 5 Socolowsky, Jürgen 5 Solonnikov, Vsevolod Alekseevich 5 Wang, Yun 5 Xie, Chunjing 5 Zajączkowski, Wojciech M. 4 Beneš, Michal 4 Galdi, Giovanni Paolo 4 Hishida, Toshiaki 4 Klevtsovskiy, Arsen V. 4 Kobayashi, Teppei 4 Mucha, Piotr Bogusław 4 Passerini, Arianna 4 Ren, Xiao 4 Repin, Sergeĭ Igorevich 4 Ri, Myong-Hwan 4 Rodríguez Seijo, José Manuel 4 Siraj-ul-Islam 4 Sperone, Gianmarco 4 Terasawa, Yutaka 4 Thäter, Gudrun 4 Tsai, Tai-Peng 4 Vernescu, Bogdan 4 Videman, Juha Hans 4 Wakasugi, Yuta 4 Wittwer, Peter 4 Zaheeruddin, M. 3 Anjam, Yasir Nadeem 3 Antontsev, Stanislav Nikolaevich 3 Baranovskiĭ, Evgeniĭ Sergeevich 3 Conca, Carlos 3 Borges de Oliveira, Hermenegildo 3 Kusaka, Yoshiaki 3 Li, Shuai 3 Li, Zijin 3 Maekawa, Yasunori 3 Maleknejad, Khosrow 3 Marušić-Paloka, Eduard 3 Miura, Hideyuki 3 Morgulis, Andrey Borisovich 3 Nazarov, Alexander I. 3 Padula, Mariarosaria 3 Patria, Maria Cristina 3 Pokorný, Milan 3 Pukhnachov, Vladislav Vasil’evich 3 Raciene, Alicija 3 Specovius-Neugebauer, Maria Ursula 3 Šumskas, Vytenis 3 Tartaglione, Alfonsina 3 Tice, Ian 3 Yamazaki, Masao 3 Zavorokhin, German L. 2 Amrouche, Chérif 2 Apushkinskaya, Darya E. 2 Beirão da Veiga, Hugo 2 Berntsson, Fredrik 2 Bertoglio, Cristóbal 2 Borchers, Wolfgang 2 Bresch, Didier 2 Canon, Éric 2 Cardone, Giuseppe 2 Castiñeira, Gonzalo 2 Chardard, Frédéric 2 Choi, Hyungjun 2 Coscia, Vincenzo 2 Dacorogna, Bernard 2 Decaster, Agathe 2 Dias, Gilberlandio J. 2 Eismontaitė, Alicija 2 Gazzola, Filippo 2 Higaki, Mitsuo 2 Iftimie, Dragoş 2 Il’in, Konstantin Ivanovich ...and 187 more Authors all top 5 Cited in 119 Serials 26 Journal of Mathematical Fluid Mechanics 24 Journal of Differential Equations 19 Journal of Mathematical Sciences (New York) 18 Archive for Rational Mechanics and Analysis 9 Lithuanian Mathematical Journal 8 Applicable Analysis 8 Mathematische Nachrichten 7 Mathematical Methods in the Applied Sciences 7 Acta Applicandae Mathematicae 7 Journal de Mathématiques Pures et Appliquées. 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Matematica 1 Engineering Analysis with Boundary Elements 1 Discrete and Continuous Dynamical Systems 1 Mathematical Problems in Engineering 1 Journal of Applied Analysis 1 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 1 Informatica (Vilnius) ...and 19 more Serials all top 5 Cited in 29 Fields 326 Partial differential equations (35-XX) 295 Fluid mechanics (76-XX) 27 Numerical analysis (65-XX) 21 Mechanics of deformable solids (74-XX) 18 Biology and other natural sciences (92-XX) 9 Integral equations (45-XX) 8 Operator theory (47-XX) 7 Potential theory (31-XX) 7 Functional analysis (46-XX) 7 Calculus of variations and optimal control; optimization (49-XX) 5 Real functions (26-XX) 4 Ordinary differential equations (34-XX) 4 Dynamical systems and ergodic theory (37-XX) 4 Global analysis, analysis on manifolds (58-XX) 4 Classical thermodynamics, heat transfer (80-XX) 3 Quantum theory (81-XX) 3 Systems theory; control (93-XX) 2 Approximations and expansions (41-XX) 2 Differential geometry (53-XX) 2 Statistical mechanics, structure of matter (82-XX) 1 Combinatorics (05-XX) 1 Algebraic geometry (14-XX) 1 Measure and integration (28-XX) 1 Functions of a complex variable (30-XX) 1 Special functions (33-XX) 1 Probability theory and stochastic processes (60-XX) 1 Optics, electromagnetic theory (78-XX) 1 Geophysics (86-XX) 1 Operations research, mathematical programming (90-XX) Citations by Year