Exact Solutions of Boundary Layer Equations in Polymer Solutions

The paper presents new exact solutions of equations derived earlier. Three of them describe unsteady motions of a polymer solution near the stagnation point. A class of partially invariant solutions with a wide functional arbitrariness is found. An invariant solution of the stationary problem in whi...

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Autores principales: Oksana A. Burmistrova, Sergey V. Meleshko, Vladislav V. Pukhnachev
Formato: article
Lenguaje:EN
Publicado: MDPI AG 2021
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Acceso en línea:https://doaj.org/article/4858f90cd599482ca58d68b3d98504d2
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spelling oai:doaj.org-article:4858f90cd599482ca58d68b3d98504d22021-11-25T19:06:45ZExact Solutions of Boundary Layer Equations in Polymer Solutions10.3390/sym131121012073-8994https://doaj.org/article/4858f90cd599482ca58d68b3d98504d22021-11-01T00:00:00Zhttps://www.mdpi.com/2073-8994/13/11/2101https://doaj.org/toc/2073-8994The paper presents new exact solutions of equations derived earlier. Three of them describe unsteady motions of a polymer solution near the stagnation point. A class of partially invariant solutions with a wide functional arbitrariness is found. An invariant solution of the stationary problem in which the solid boundary is a logarithmic curve is constructed.Oksana A. BurmistrovaSergey V. MeleshkoVladislav V. PukhnachevMDPI AGarticleboundary layeraqueous solution of a polymerlie group of transformationsinvariant solutionMathematicsQA1-939ENSymmetry, Vol 13, Iss 2101, p 2101 (2021)
institution DOAJ
collection DOAJ
language EN
topic boundary layer
aqueous solution of a polymer
lie group of transformations
invariant solution
Mathematics
QA1-939
spellingShingle boundary layer
aqueous solution of a polymer
lie group of transformations
invariant solution
Mathematics
QA1-939
Oksana A. Burmistrova
Sergey V. Meleshko
Vladislav V. Pukhnachev
Exact Solutions of Boundary Layer Equations in Polymer Solutions
description The paper presents new exact solutions of equations derived earlier. Three of them describe unsteady motions of a polymer solution near the stagnation point. A class of partially invariant solutions with a wide functional arbitrariness is found. An invariant solution of the stationary problem in which the solid boundary is a logarithmic curve is constructed.
format article
author Oksana A. Burmistrova
Sergey V. Meleshko
Vladislav V. Pukhnachev
author_facet Oksana A. Burmistrova
Sergey V. Meleshko
Vladislav V. Pukhnachev
author_sort Oksana A. Burmistrova
title Exact Solutions of Boundary Layer Equations in Polymer Solutions
title_short Exact Solutions of Boundary Layer Equations in Polymer Solutions
title_full Exact Solutions of Boundary Layer Equations in Polymer Solutions
title_fullStr Exact Solutions of Boundary Layer Equations in Polymer Solutions
title_full_unstemmed Exact Solutions of Boundary Layer Equations in Polymer Solutions
title_sort exact solutions of boundary layer equations in polymer solutions
publisher MDPI AG
publishDate 2021
url https://doaj.org/article/4858f90cd599482ca58d68b3d98504d2
work_keys_str_mv AT oksanaaburmistrova exactsolutionsofboundarylayerequationsinpolymersolutions
AT sergeyvmeleshko exactsolutionsofboundarylayerequationsinpolymersolutions
AT vladislavvpukhnachev exactsolutionsofboundarylayerequationsinpolymersolutions
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