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JOURNALS // Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki // Archive

Zh. Vychisl. Mat. Mat. Fiz., 2017 Volume 57, Number 11, Pages 1831–1843 (Mi zvmmf10639)

Linear instability of the state of rest for an incompressible polymer liquid upon injection from the cathode and heating from the top

A. M. Blokhinab, R. E. Semenkoab

a Sobolev Institute of Mathematics, Siberian Branch, Russian Academy of Sciences, Novosibirsk, Russia
b Novosibirsk State University, Novosibirsk, Russia

Abstract: The existence of partial solutions, increasing with time, of the linearized equations of a nonisothermal incompressible polymer liquid is established.

Key words: non-isothermal polymer liquid, state of rest, eigenvalue problem.

UDC: 519.634

Received: 26.10.2016

DOI: 10.7868/S0044466917110047


 English version:
Computational Mathematics and Mathematical Physics, 2017, 57:11, 1796–1807

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© Steklov Math. Inst. of RAS, 2024