Geodesic
Solvability of a regularized boundary value problem of chaotic dynamics of a polymer molecule
Sibirskie èlektronnye matematičeskie izvestiâ, Tome 20 (2023) no. 2, pp. 1597-1604

Voir la notice de l'article provenant de la source Math-Net.Ru

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.
Keywords: polymer chain, chaotic dynamics, initial boundary value problem, solvability.
Mots-clés : nonlocal parabolic equation 
@article{SEMR_2023_20_2_a52,
     author = {V. N. Starovoitov},
     title = {Solvability of a regularized boundary value problem of chaotic dynamics of a polymer molecule},
     journal = {Sibirskie \`elektronnye matemati\v{c}eskie izvesti\^a},
     pages = {1597--1604},
     publisher = {mathdoc},
     volume = {20},
     number = {2},
     year = {2023},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/SEMR_2023_20_2_a52/}
}
TY  - JOUR
AU  - V. N. Starovoitov
TI  - Solvability of a regularized boundary value problem of chaotic dynamics of a polymer molecule
JO  - Sibirskie èlektronnye matematičeskie izvestiâ
PY  - 2023
SP  - 1597
EP  - 1604
VL  - 20
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/SEMR_2023_20_2_a52/
LA  - ru
ID  - SEMR_2023_20_2_a52
ER  - 
%0 Journal Article
%A V. N. Starovoitov
%T Solvability of a regularized boundary value problem of chaotic dynamics of a polymer molecule
%J Sibirskie èlektronnye matematičeskie izvestiâ
%D 2023
%P 1597-1604
%V 20
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/item/SEMR_2023_20_2_a52/
%G ru
%F SEMR_2023_20_2_a52
V. N. Starovoitov. Solvability of a regularized boundary value problem of chaotic dynamics of a polymer molecule. Sibirskie èlektronnye matematičeskie izvestiâ, Tome 20 (2023) no. 2, pp. 1597-1604. http://geodesic.mathdoc.fr/item/SEMR_2023_20_2_a52/