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Разрешимость регуляризованной краевой задачи о хаотичной динамике полимерной молекулы Full article

Journal Сибирские электронные математические известия / Siberian Electronic Mathematical Reports
ISSN: 1813-3304
Output data Year: 2023, Volume: 20, Number: 2, Pages: 1597-1604 Pages count : 8 DOI: 10.33048/semi.2023.20.098
Tags polymer chain, chaotic dynamics, nonlocal parabolic equation, initial boundary value problem, solvability.
Authors Старовойтов В.Н. 1
Affiliations
1 Lavrentyev Institute of Hydrodynamics

Funding (1)

1 Российский научный фонд 23-21-00261

Abstract: This paper deals with a parabolic partial differential equation that describes the chaotic dynamics of a polymer chain in water solution. This equation includes a non-linear nonlocal in time term and the integral of the solution over the space domain that stands in a denominator. For this reason, a regularized problem is considered. The regularization prevents vanishing this integral. The weak solvability of the initial boundary value problem for this equation is proven.
Cite: Старовойтов В.Н.
Разрешимость регуляризованной краевой задачи о хаотичной динамике полимерной молекулы
Сибирские электронные математические известия / Siberian Electronic Mathematical Reports. 2023. Т.20. №2. С.1597-1604. DOI: 10.33048/semi.2023.20.098 WOS Scopus РИНЦ
Dates:
Submitted: Nov 12, 2023
Published print: Dec 29, 2023
Identifiers:
Web of science: WOS:001164415800020
Scopus: 2-s2.0-85188451005
Elibrary: 65693021
Citing: Пока нет цитирований
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