Разрешимость краевой задачи о хаотичной динамике полимерной молекулы в случае ограниченного потенциала взаимодействия

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Разрешимость краевой задачи о хаотичной динамике полимерной молекулы в случае ограниченного потенциала взаимодействия. / Starovoitov, Victor N.

в: Siberian Electronic Mathematical Reports, Том 18, № 2, 63, 2021, стр. 1714-1719.

Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование

BibTeX

@article{1c1ec143dd134d85b18baee149136a1a,

title = "Разрешимость краевой задачи о хаотичной динамике полимерной молекулы в случае ограниченного потенциала взаимодействия",

abstract = "This paper deals with a boundary value problem for a parabolic,differential equation that describes a chaotic motion of a polymer,chain in water. The equation is nonlocal in time as well as in space. It,includes a so called interaction potential that depends on the integrals,of the solution over the entire time interval and over the space domain,where the problem is being solved. The time nonlocality appears since,the time plays the role of the arc length along the chain and each,segment interacts with all others through the surrounding fluid. The,weak solvability of the problem is proven for the case of the bounded,continuous interaction potential. The proof of the solvability does not,use any continuity properties of the solution with respect to the time,and is based on the energy estimate only",

keywords = "Initial boundary value problem, Nonlocal parabolic equation, Solvability",

author = "Starovoitov, {Victor N.}",

note = "Старовойтов В.Н. Разрешимость краевой задачи о хаотичной динамике полимерной молекулы в случае ограниченного потенциала взаимодействия // Сибирские электронные математические известия. – 2021. – Т. 18. – № 2. – С. 1714-1719.",

year = "2021",

doi = "10.33048/SEMI.2021.18.131",

language = "русский",

volume = "18",

pages = "1714--1719",

journal = "Сибирские электронные математические известия",

issn = "1813-3304",

publisher = "Sobolev Institute of Mathematics",

number = "2",

}

RIS

TY - JOUR

T1 - Разрешимость краевой задачи о хаотичной динамике полимерной молекулы в случае ограниченного потенциала взаимодействия

AU - Starovoitov, Victor N.

N1 - Старовойтов В.Н. Разрешимость краевой задачи о хаотичной динамике полимерной молекулы в случае ограниченного потенциала взаимодействия // Сибирские электронные математические известия. – 2021. – Т. 18. – № 2. – С. 1714-1719.

PY - 2021

Y1 - 2021

N2 - This paper deals with a boundary value problem for a parabolic,differential equation that describes a chaotic motion of a polymer,chain in water. The equation is nonlocal in time as well as in space. It,includes a so called interaction potential that depends on the integrals,of the solution over the entire time interval and over the space domain,where the problem is being solved. The time nonlocality appears since,the time plays the role of the arc length along the chain and each,segment interacts with all others through the surrounding fluid. The,weak solvability of the problem is proven for the case of the bounded,continuous interaction potential. The proof of the solvability does not,use any continuity properties of the solution with respect to the time,and is based on the energy estimate only

AB - This paper deals with a boundary value problem for a parabolic,differential equation that describes a chaotic motion of a polymer,chain in water. The equation is nonlocal in time as well as in space. It,includes a so called interaction potential that depends on the integrals,of the solution over the entire time interval and over the space domain,where the problem is being solved. The time nonlocality appears since,the time plays the role of the arc length along the chain and each,segment interacts with all others through the surrounding fluid. The,weak solvability of the problem is proven for the case of the bounded,continuous interaction potential. The proof of the solvability does not,use any continuity properties of the solution with respect to the time,and is based on the energy estimate only

KW - Initial boundary value problem

KW - Nonlocal parabolic equation

KW - Solvability

UR - http://www.scopus.com/inward/record.url?scp=85124143016&partnerID=8YFLogxK

UR - https://www.elibrary.ru/item.asp?id=47669605

U2 - 10.33048/SEMI.2021.18.131

DO - 10.33048/SEMI.2021.18.131

M3 - статья

AN - SCOPUS:85124143016

VL - 18

SP - 1714

EP - 1719

JO - Сибирские электронные математические известия

JF - Сибирские электронные математические известия

SN - 1813-3304

IS - 2

M1 - 63

ER -

ID: 35455106