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Applicable Analysis
An International Journal
Volume 94, 2015 - Issue 7
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Articles

Divergence equation in thin-tube structures

Grigory PanasenkoInstitute Camille Jordan UMR CNRS 5208, University of Lyon, 23 rue P. Michelon, 42023, Saint-Etienne.Correspondence[email protected]
&
Konstantin PileckasFaculty of Mathematics and Informatics, Vilnius University, Naugarduko Str., 24, LT-03225, Vilnius, Lithuania.
Pages 1450-1459 | Received 30 Mar 2014, Accepted 05 Jun 2014, Published online: 02 Jul 2014

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Grigory Panasenko. (2017) Method of asymptotic partial decomposition of domain for multistructures. Applicable Analysis 96:16, pages 2771-2779.
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Articles from other publishers (15)

Grigory Panasenko & Konstantinas Pileckas. (2023) Pressure boundary conditions for viscous flows in thin tube structures: Stokes equations with locally distributed Brinkman term. Mathematical Modelling of Natural Phenomena 18, pages 17.
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Grigory Panasenko, Konstantin Pileckas & Bogdan Vernescu. (2022) Steady state non-Newtonian flow with strain rate dependent viscosity in thin tube structure with no slip boundary condition. Mathematical Modelling of Natural Phenomena 17, pages 18.
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Rita Juodagalvytė, Grigory Panasenko & Konstantinas Pileckas. (2021) Steady-State Navier–Stokes Equations in Thin Tube Structure with the Bernoulli Pressure Inflow Boundary Conditions: Asymptotic Analysis. Mathematics 9:19, pages 2433.
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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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A. Ghosh, V. A. Kozlov & S. A. Nazarov. (2021) Modified Reynolds Equation for Steady Flow Through a Curved Pipe. Journal of Mathematical Fluid Mechanics 23:2.
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Cristobal Bertoglio, David Nolte, Grigory Panasenko & Konstantinas Pileckas. (2021) Reconstruction of the Pressure in the Method of Asymptotic Partial Decomposition for the Flows in Tube Structures. SIAM Journal on Applied Mathematics 81:5, pages 2083-2110.
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R. Juodagalvytė, G. Panasenko & K. Pileckas. (2020) Time periodic Navier–Stokes equations in a thin tube structure. Boundary Value Problems 2020:1.
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Grigory Panasenko & Bogdan Vernescu. (2019) Non-Newtonian flows in domains with non-compact boundaries. Nonlinear Analysis 183, pages 214-229.
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Cristóbal Bertoglio, Carlos Conca, David Nolte, Grigory Panasenko & Konstantinas Pileckas. (2019) Junction of Models of Different Dimension for Flows in Tube Structures by Womersley-Type Interface Conditions. SIAM Journal on Applied Mathematics 79:3, pages 959-985.
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G. Castiñeira, E. Marušić-Paloka, I. Pažanin & J. M. Rodríguez. (2019) Rigorous justification of the asymptotic model describing a curved-pipe flow in a time-dependent domain. ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik 99:1, pages e201800154.
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PiotrBogusł aw Mucha, Milan Pokorný & Ewelina Zatorska. 2018. Handbook of Mathematical Analysis in Mechanics of Viscous Fluids. Handbook of Mathematical Analysis in Mechanics of Viscous Fluids 2595 2662 .
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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Владимир Аркадьевич Козлов, Vladimir Arkad'evich Kozlov, Сергей Александрович Назаров & Sergei Aleksandrovich Nazarov. (2017) Одномерная модель течения в сочленении тонких каналов в том числе артериальных деревьевOne-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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Piotr B. Mucha, Milan Pokorný & Ewelina Zatorska. 2016. Handbook of Mathematical Analysis in Mechanics of Viscous Fluids. Handbook of Mathematical Analysis in Mechanics of Viscous Fluids 1 68 .
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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