Free Boundary Problem in a Polymer Solution Model Full article
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Russian Journal of Mathematical Physics
ISSN: 1061-9208 |
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| Output data | Year: 2021, Volume: 28, Number: 1, Pages: 96-103 Pages count : 8 DOI: 10.1134/s1061920821010106 | ||||||
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Abstract:
An initial boundary value problem with a free boundary for a third-order integro-differential equation for the unsteady flow of an aqueous polymer solution in a strip is studied. Questions concerning the solvability of the problem and the qualitative behavior of the solution in dependence on the initial data are investigated: time-local resolvability is established under natural conditions on the input data and conditions of global solvability are found for the problem of strip narrowing. Conditions for the bowing-up of the solution in finite time in the model problem of strip expansion are presented. The problem of small perturbations of the flow of a strip of viscous fluid with respect to a parameter proportional to the relaxation viscosity is also consider.
Cite:
Petrova A.G.
, Pukhnachev V.V.
Free Boundary Problem in a Polymer Solution Model
Russian Journal of Mathematical Physics. 2021. V.28. N1. P.96-103. DOI: 10.1134/s1061920821010106 WOS Scopus РИНЦ OpenAlex
Free Boundary Problem in a Polymer Solution Model
Russian Journal of Mathematical Physics. 2021. V.28. N1. P.96-103. DOI: 10.1134/s1061920821010106 WOS Scopus РИНЦ OpenAlex
Identifiers:
| Web of science: | WOS:000630763600009 |
| Scopus: | 2-s2.0-85102742475 |
| Elibrary: | 46759531 |
| OpenAlex: | W3137942372 |