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Matematicheskie Zametki, 2019, Volume 106, Issue 5, Pages 723–735
DOI: https://doi.org/10.4213/mzm12272 (Mi mzm12272) 		 
This article is cited in 5 scientific papers (total in 5 papers)

On the Unique Solvability of the Problem of the Flow of an Aqueous Solution of Polymers near a Critical Point

A. G. Petrova

Altai State University, Barnaul
Full-text PDF (475 kB) Citations (5)
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DOI: https://doi.org/10.4213/mzm12272
Abstract: We consider the boundary-value problem in a semibounded interval for a fourth-order equation with “double degeneracy”: the small parameter in the equation multiplies the product of the unknown function vanishing on the boundary and its highest derivative. Such a problem arises in the description of the motion of weak solutions of polymers near a critical point. For the zero value of the parameter, the solution is the classical Hiemenz solution. We prove the unique solvability of the problem for nonnegative values of the parameter not exceeding $1$.
Keywords: flow of an aqueous solution of polymers, boundary-value problem, Hiemenz solution, unique solvability.
Funding agency Grant number
Russian Foundation for Basic Research 16-01-00127
This work was supported by the Russian Foundation for Basic Research under grant 16-01-00127.
Received: 15.12.2018
Revised: 04.03.2019
English version:
Mathematical Notes, 2019, Volume 106, Issue 5, Pages 784–793
DOI: https://doi.org/10.1134/S0001434619110117
Bibliographic databases:
Document Type: Article
UDC: 517
PACS: 0230Hq
Language: Russian
Citation: A. G. Petrova, “On the Unique Solvability of the Problem of the Flow of an Aqueous Solution of Polymers near a Critical Point”, Mat. Zametki, 106:5 (2019), 723–735; Math. Notes, 106:5 (2019), 784–793
Citation in format AMSBIB
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    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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