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Applicable Analysis
An International Journal
Volume 91, 2012 - Issue 3
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Original Articles

Asymptotic analysis of the nonsteady viscous flow with a given flow rate in a thin pipe

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Pages 559-574 | Received 28 Nov 2010, Published online: 09 Mar 2011

Keep up to date with the latest research on this topic with citation updates for this article.

Read on this site (3)

Igor Pažanin & Marko Radulović. (2020) Asymptotic analysis of the nonsteady micropolar fluid flow through a curved pipe. Applicable Analysis 99:12, pages 2045-2092.
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Alicija Eismontaite & Konstantin Pileckas. (2019) On singular solutions of the initial boundary value problem for the Stokes system in a power cusp domain. Applicable Analysis 98:13, pages 2400-2422.
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Alicija Eismontaite & Konstantin Pileckas. (2018) On singular solutions of time-periodic and steady Stokes problems in a power cusp domain. Applicable Analysis 97:3, pages 415-437.
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Articles from other publishers (21)

S. A. Nazarov & A. S. Slutskii. (2024) Homogenization of the Scalar Boundary Value Problem in a Thin Periodically Broken Cylinder. Siberian Mathematical Journal 65:2, pages 363-380.
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Nikolajus Kozulinas, Grigory Panasenko, Konstantinas Pileckas & Vytenis Šumskas. (2023) NUMERICAL STUDY OF THE EQUATION ON THE GRAPH FOR THE STEADY STATE NON-NEWTONIAN FLOW IN THIN TUBE STRUCTURE. Mathematical Modelling and Analysis 28:4, pages 581-595.
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Grigory Panasenko & Konstantin Pileckas. (2022) Nonstationary Poiseuille flow of a non-Newtonian fluid with the shear rate-dependent viscosity. Advances in Nonlinear Analysis 12:1.
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Michal Beneš, Igor Pažanin, Marko Radulović & Borja Rukavina. (2022) Nonzero boundary condition for the unsteady micropolar pipe flow: Well-posedness and asymptotics. Applied Mathematics and Computation 427, pages 127184.
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G. Panasenko, K. Pileckas & B. Vernescu. (2022) Steady state non-Newtonian flow in a thin tube structure: equation on the graph. St. Petersburg Mathematical Journal 33:2, pages 327-340.
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Maria Vasilyeva, Valentin Alekseev, Eric T. Chung & Yalchin Efendiev. (2021) Multiscale dimension reduction for flow and transport problems in thin domain with reactive boundaries. Journal of Computational Physics 442, pages 110512.
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Éric Canon, Frédéric Chardard, Grigory Panasenko & Olga Štikonienė. (2021) Numerical solution of the viscous flows in a network of thin tubes: Equations on the graph. Journal of Computational Physics 435, pages 110262.
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Konstantin Pileckas & Alicija Raciene. (2021) Non-stationary Navier–Stokes equations in 2 D power cusp domain . Advances in Nonlinear Analysis 10:1, pages 982-1010.
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K. Pileckas & R. Čiegis. (2020) Existence of nonstationary Poiseuille-type solutions under minimal regularity assumptions. Zeitschrift für angewandte Mathematik und Physik 71:6.
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Grigory Panasenko & Konstantin Pileckas. (2020) Periodic in time flow in thin structure: Equation on the graph. Journal of Mathematical Analysis and Applications 490:2, pages 124335.
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Elena Miroshnikova. (2020) Pressure-driven flow in a thin pipe with rough boundary. Zeitschrift für angewandte Mathematik und Physik 71:4.
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Eduard Marušić–Paloka, Igor Pažanin & Marko Radulović. (2020) Justification of the Higher Order Effective Model Describing the Lubrication of a Rotating Shaft with Micropolar Fluid. Symmetry 12:3, pages 334.
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V. A. Kozlov & S. A. Nazarov. (2019) Model of a Saccular Aneurysm of the Bifurcation Node of an Artery. Journal of Mathematical Sciences 238:5, pages 676-688.
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Michal Beneš, Igor Pažanin & Marko Radulović. (2018) Rigorous derivation of the asymptotic model describing a nonsteady micropolar fluid flow through a thin pipe. Computers & Mathematics with Applications 76:9, pages 2035-2060.
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Eduard Marušić-Paloka & Igor Pažanin. (2018) On the Viscous Flow Through a Long Pipe With Non-Constant Pressure Boundary Condition. Zeitschrift für Naturforschung A 73:7, pages 639-644.
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Igor Pažanin & Marko Radulović. (2018) Asymptotic Approximation of the Nonsteady Micropolar Fluid Flow through a Circular Pipe. Mathematical Problems in Engineering 2018, pages 1-16.
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V A Kozlov & S A Nazarov. (2017) A one-dimensional model of flow in a junction of thin channels, including arterial trees. Sbornik: Mathematics 208:8, pages 1138-1186.
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V. A. Kozlov & S. A. Nazarov. (2017) Transmission Conditions in a One-Dimensional Model of Bifurcating Arteries with Elastic Walls. Journal of Mathematical Sciences 224:1, pages 94-118.
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Vladimir Arkad'evich Kozlov & Sergei Aleksandrovich Nazarov. (2017) Одномерная модель течения в сочленении тонких каналов в том числе артериальных деревьевA one-dimensional model of flow in a junction of thin channels, including arterial trees. Математический сборник Matematicheskii Sbornik 208:8, pages 56-105.
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Grigory Panasenko & Konstantin Pileckas. (2015) Asymptotic analysis of the non-steady Navier–Stokes equations in a tube structure. II. General case. Nonlinear Analysis 125, pages 582-607.
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Grigory Panasenko & Konstantin Pileckas. (2015) Asymptotic analysis of the non-steady Navier–Stokes equations in a tube structure. I. The case without boundary-layer-in-time. Nonlinear Analysis: Theory, Methods & Applications 122, pages 125-168.
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