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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
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.
Received: 15.12.2018 Revised: 04.03.2019
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
Linking options:
https://www.mathnet.ru/eng/mzm12272https://doi.org/10.4213/mzm12272 https://www.mathnet.ru/eng/mzm/v106/i5/p723
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Abstract page: | 209 | Full-text PDF : | 19 | References: | 28 | First page: | 11 |
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