ONE-DIMENSIONAL IMPULSIVE PSEUDOPARABOLIC EQUATION WITH CONVECTION AND ABSORPTION

ONE-DIMENSIONAL IMPULSIVE PSEUDOPARABOLIC EQUATION WITH CONVECTION AND ABSORPTION Научная публикация

Журнал

Interfacial Phenomena and Heat Transfer
ISSN: 2169-2785

Вых. Данные

Год: 2023, Том: 11, Номер: 4, Номер статьи : 17-33, Страниц : 1 DOI: 10.1615/interfacphenomheattransfer.2023049787

Ключевые слова

PSEUDOPARABOLIC EQUATION, IMPULSIVE EQUATION, INITIAL LAYER, CONVECTION, ABSORPTION

Авторы

Antontsev Stanislav ¹ , Kuznetsov Ivan ^1,2 , Sazhenkov Sergey ^1,2

Организации

1	Lavrentyev Institute of Hydrodynamics
2	Altai State University

Информация о финансировании (1)

Министерство науки и высшего образования Российской Федерации

FWGG-2021-0010

We study the initial-boundary value problem for the one-dimensional Oskolkov pseudoparabolic equation of viscoelasticity with a nonlinear convective term and a linear absorption term. The absorption term depends on a positive integer parameter n and, as n → + ∞, converges weakly * to the expression incorporating the Dirac deltafunction, which models an instant absorption at the initial moment of time. We prove that the infinitesimal initial layer, associated with the Dirac delta function, is formed as n → + ∞, and that the family of regular weak solutions of the original problem converges to the strong solution of a two-scale microscopic-macroscopic model. The main novelty of the article consists of taking into account of the effect of convection. In the final section, some possible generalizations and applications are briefly discussed, in particular with regard to active fluids.

Antontsev S. , Kuznetsov I. , Sazhenkov S.
ONE-DIMENSIONAL IMPULSIVE PSEUDOPARABOLIC EQUATION WITH CONVECTION AND ABSORPTION
Interfacial Phenomena and Heat Transfer. 2023. V.11. N4. 17-33 :1-1. DOI: 10.1615/interfacphenomheattransfer.2023049787 Scopus РИНЦ OpenAlex

Scopus:	2-s2.0-85180824061
РИНЦ:	61477305
OpenAlex:	W4387046937

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