Kelvin–Voigt Equations with a Discontinuous Density Profile

Kelvin–Voigt Equations with a Discontinuous Density Profile Full article

Journal

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

Output data

Year: 2025, Volume: 66, Number: 1, Pages: 89-99 Pages count : 11 DOI: 10.1134/s0021894425010018

Tags

Dirac delta function, impulsive partial differential equation, initial layer, inhomogeneous incompressible fluid, Kelvin–Voigt equations

Authors

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

Affiliations

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

Kelvin–Voigt equations for inhomogeneous fluids with a singular right side are studied. A singular term that approximates the Dirac delta function on an initially infinitely thin layer is introduced into the right side of a mass balance equation. This singular term is similar to the relaxation term used to describe nonequilibrium processes in hydrodynamics. In an extreme case, when a small parameter, namely, the characteristic size of the initial layer, tends to zero, the density and velocity at the initial time change abruptly.

Antontsev S.N. , Kuznetsov I.V.
Kelvin–Voigt Equations with a Discontinuous Density Profile
Journal of Applied Mechanics and Technical Physics. 2025. V.66. N1. P.89-99. DOI: 10.1134/s0021894425010018 OpenAlex

Антонцев С.Н. , Кузнецов И.В.
УРАВНЕНИЯ КЕЛЬВИНА - ФОЙГТА С ПЛОТНОСТЬЮ, ИМЕЮЩЕЙ СКАЧКООБРАЗНЫЙ ПРОФИЛЬ
Прикладная механика и техническая физика. 2025. Т.389. №1. С.104-116. DOI: 10.15372/PMTF202415504 РИНЦ

Submitted:	May 3, 2024
Accepted:	Jun 24, 2024
Published print:	Sep 24, 2025

OpenAlex:

W4414470158

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