A. M. Blokhin, R. E. Semenko, “To the stability of a plane strong discontinuity with a polymer fluid flow through it with allowance for anisotropy”, Zh. Vychisl. Mat. Mat. Fiz., 2019, Volume 59, Number 10,Pages <nobr>1752

To the stability of a plane strong discontinuity with a polymer fluid flow through it with allowance for anisotropy

A. M. Blokhin^ab, R. E. Semenko^ab

^a Novosibirsk State University, Novosibirsk, 630090 Russia
^b Sobolev Institute of Mathematics, Siberian Branch, Russian Academy of Sciences, Novosibirsk, 630090 Russia

Abstract: The stability of the flow of an incompressible polymer fluid with a strong discontinuity when the fluid can flow through the discontinuity is discussed. Particular solutions of the linearized problem that increase with time are constructed numerically.

Key words: linear system, stability of a strong discontinuity, particular solutions of the linearized problem.

UDC: 517.956

Received: 12.03.2018
Revised: 12.03.2018
Accepted: 19.03.2019

DOI: 10.1134/S0044466919100041