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, Number: 5,

Tags

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

Authors

Antontsev Stanislav Nikolaevich ¹ , Kuznetsov Ivan Vladimirovich ^1,2 , Sazhenkov Sergey Aleksandrovich ^1,2

Affiliations

1	Lavrentyev Institute of Hydrodynamics
2	Altai State University

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. N5.

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

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