TY - JOUR

T1 - Exact solutions of boundary layer equations in polymer solutions

AU - Burmistrova, Oksana A.

AU - Meleshko, Sergey V.

AU - Pukhnachev, Vladislav V.

N1 - Funding Information: Funding: This study of O.A.B and V.V.P. was funded by the Russian Foundation for Basic Research by Grant No. 19 01 00096. Publisher Copyright: © 2021 by the authors. Licensee MDPI, Basel, Switzerland.

PY - 2021/11

Y1 - 2021/11

N2 - The paper presents new exact solutions of equations derived earlier. Three of them describe unsteady motions of a polymer solution near the stagnation point. A class of partially invariant solutions with a wide functional arbitrariness is found. An invariant solution of the stationary problem in which the solid boundary is a logarithmic curve is constructed.

AB - The paper presents new exact solutions of equations derived earlier. Three of them describe unsteady motions of a polymer solution near the stagnation point. A class of partially invariant solutions with a wide functional arbitrariness is found. An invariant solution of the stationary problem in which the solid boundary is a logarithmic curve is constructed.

KW - Aqueous solution of a polymer

KW - Boundary layer

KW - Invariant solution

KW - Lie group of transformations

UR - http://www.scopus.com/inward/record.url?scp=85118916175&partnerID=8YFLogxK

U2 - 10.3390/sym13112101

DO - 10.3390/sym13112101

M3 - Article

AN - SCOPUS:85118916175

VL - 13

JO - Symmetry

JF - Symmetry

SN - 2073-8994

IS - 11

M1 - 2101

ER -