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Solvability of a boundary value problem of chaotic dynamics of polymer molecule in the case of bounded interaction potential. / Starovoitov, V. N.

In: Сибирские электронные математические известия, Vol. 18, No. 2, 63, 2021, p. 1714-1719.

Research output: Contribution to journal › Article › peer-review

Harvard

Starovoitov, VN 2021, 'Solvability of a boundary value problem of chaotic dynamics of polymer molecule in the case of bounded interaction potential', Сибирские электронные математические известия, vol. 18, no. 2, 63, pp. 1714-1719. https://doi.org/10.33048/semi.2081.18.131

APA

Starovoitov, V. N. (2021). Solvability of a boundary value problem of chaotic dynamics of polymer molecule in the case of bounded interaction potential. Сибирские электронные математические известия, 18(2), 1714-1719. [63]. https://doi.org/10.33048/semi.2081.18.131

Vancouver

Starovoitov VN. Solvability of a boundary value problem of chaotic dynamics of polymer molecule in the case of bounded interaction potential. Сибирские электронные математические известия. 2021;18(2):1714-1719. 63. doi: 10.33048/semi.2081.18.131

Author

Starovoitov, V. N. / Solvability of a boundary value problem of chaotic dynamics of polymer molecule in the case of bounded interaction potential. In: Сибирские электронные математические известия. 2021 ; Vol. 18, No. 2. pp. 1714-1719.

BibTeX

@article{a016f2a22960492a880e4b30371c114d,
title = "Solvability of a boundary value problem of chaotic dynamics of polymer molecule in the case of bounded interaction potential",
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 = "nonlocal parabolic equation, initial boundary value problem, solvability",
author = "Starovoitov, {V. N.}",
year = "2021",
doi = "10.33048/semi.2081.18.131",
language = "English",
volume = "18",
pages = "1714--1719",
journal = "Сибирские электронные математические известия",
issn = "1813-3304",
publisher = "Sobolev Institute of Mathematics",
number = "2",

}

RIS

TY - JOUR

T1 - Solvability of a boundary value problem of chaotic dynamics of polymer molecule in the case of bounded interaction potential

AU - Starovoitov, V. N.

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 - nonlocal parabolic equation

KW - initial boundary value problem

KW - solvability

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

U2 - 10.33048/semi.2081.18.131

DO - 10.33048/semi.2081.18.131

M3 - Article

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: 35409547