KELVIN–VOIGT IMPULSE EQUATIONS OF INCOMPRESSIBLE VISCOELASTIC FLUID DYNAMICS

KELVIN–VOIGT IMPULSE EQUATIONS OF INCOMPRESSIBLE VISCOELASTIC FLUID DYNAMICS Full article

Journal

Journal of Applied Mechanics and Technical Physics
ISSN: 0021-8944

Output data

Year: 2024, Volume: 65, Number: 5, Pages: 815–828 Pages count :

Tags

impulse partial differential equations, Kelvin-Voigt fluid, convection, initial layer

Authors

Antontsev S.N. ¹ , Kuznetsov I.V. ^1,2 , Sazhenkov S.A. ^1,2

Affiliations

1	Lavrentyev Institute of Hydrodynamics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk, Russia.
2	Altai State University, Barnaul, Russia;

This paper describes a multidimensional initial-boundary-value problem for Kelvin-Voigt equations for a viscoelastic fluid with a nonlinear convective term and a linear impulse term, which is a regular junior term describing impulsive phenomena. The impulse term depends on an integer positive parameter n , and, as n → +∞, weakly converges to an expression that includes the Dirac delta function that simulates impulse phenomena at the initial time. It is proven that, as n → +∞ an infinitesimal initial layer associated with the Dirac delta function is formed and the family of regular weak solutions of the initial-boundary value problem converges to a strong solution of a two-scale micro- and macroscopic model.

Antontsev S.N. , Kuznetsov I.V. , Sazhenkov S.A.
KELVIN–VOIGT IMPULSE EQUATIONS OF INCOMPRESSIBLE VISCOELASTIC FLUID DYNAMICS
Journal of Applied Mechanics and Technical Physics. 2024. V.65. N5. P.815–828.

Антонцев С.Н. , Кузнецов И.В. , Саженков С.А.
ИМПУЛЬСНЫЕ УРАВНЕНИЯ КЕЛЬВИНА–ФОЙГТА ДИНАМИКИ НЕСЖИМАЕМОЙ ВЯЗКОУПРУГОЙ ЖИДКОСТИ
Прикладная механика и техническая физика. 2024. Т.65. №5. С.28-42. DOI: 10.15372/PMTF202415472 РИНЦ OpenAlex

Submitted:	Mar 11, 2024
Accepted:	Apr 27, 2024
Published print:	Apr 8, 2025

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