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On linear instability of the state of rest of an incompressible polymer fluid in the presence of strong discontinuity
A. M. Blokhinab, R. E. Semenkoab a Novosibirsk State University, Novosibirsk, 630090 Russia
b Institute of Mathematics, Siberian Branch, Russian Academy of Sciences, Novosibirsk, 630090 Russia
Abstract:
A linear problem of small perturbations of the flow of immiscible polymer fluids in a flat channel is formulated. For this problem, the existence of solutions unlimitedly increasing with time, the presence of which means linear instability of the state of rest of a polymer fluid with a strong discontinuity, is studied.
Key words:
polymer fluid, state of rest, strong discontinuity.
Received: 14.11.2019 Revised: 14.11.2019 Accepted: 16.12.2019
Citation:
A. M. Blokhin, R. E. Semenko, “On linear instability of the state of rest of an incompressible polymer fluid in the presence of strong discontinuity”, Zh. Vychisl. Mat. Mat. Fiz., 60:4 (2020), 687–699; Comput. Math. Math. Phys., 60:4 (2020), 673–685
Linking options:
https://www.mathnet.ru/eng/zvmmf11067 https://www.mathnet.ru/eng/zvmmf/v60/i4/p687
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Abstract page: | 99 | References: | 21 |
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