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.

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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 
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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/

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